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A_1^{-1}",[568,1170,1172,1364],{"className":1171,"ariaHidden":605},[604],[568,1173,1175,1178,1181,1227,1267,1271,1275,1278,1320,1355,1358,1361],{"className":1174},[609],[568,1176],{"className":1177,"style":769},[613],[568,1179,726],{"className":1180},[773],[568,1182,1184,1187],{"className":1183},[618],[568,1185,657],{"className":1186},[618,619],[568,1188,1190],{"className":1189},[783],[568,1191,1194,1218],{"className":1192},[787,1193],"vlist-t2",[568,1195,1197,1213],{"className":1196},[791],[568,1198,1201],{"className":1199,"style":1200},[795],"height:0.3011em;",[568,1202,1204,1207],{"style":1203},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[568,1205],{"className":1206,"style":804},[803],[568,1208,1210],{"className":1209},[808,809,810,811],[568,1211,740],{"className":1212},[618,811],[568,1214,1217],{"className":1215},[1216],"vlist-s","​",[568,1219,1221],{"className":1220},[791],[568,1222,1225],{"className":1223,"style":1224},[795],"height:0.15em;",[568,1226],{},[568,1228,1230,1233],{"className":1229},[618],[568,1231,657],{"className":1232},[618,619],[568,1234,1236],{"className":1235},[783],[568,1237,1239,1259],{"className":1238},[787,1193],[568,1240,1242,1256],{"className":1241},[791],[568,1243,1245],{"className":1244,"style":1200},[795],[568,1246,1247,1250],{"style":1203},[568,1248],{"className":1249,"style":804},[803],[568,1251,1253],{"className":1252},[808,809,810,811],[568,1254,1104],{"className":1255},[618,811],[568,1257,1217],{"className":1258},[1216],[568,1260,1262],{"className":1261},[791],[568,1263,1265],{"className":1264,"style":1224},[795],[568,1266],{},[568,1268],{"className":1269,"style":1270},[623],"margin-right:0.1667em;",[568,1272,1107],{"className":1273},[1274],"minner",[568,1276],{"className":1277,"style":1270},[623],[568,1279,1281,1284],{"className":1280},[618],[568,1282,657],{"className":1283},[618,619],[568,1285,1287],{"className":1286},[783],[568,1288,1290,1312],{"className":1289},[787,1193],[568,1291,1293,1309],{"className":1292},[791],[568,1294,1297],{"className":1295,"style":1296},[795],"height:0.3361em;",[568,1298,1299,1302],{"style":1203},[568,1300],{"className":1301,"style":804},[803],[568,1303,1305],{"className":1304},[808,809,810,811],[568,1306,1114],{"className":1307,"style":1308},[618,619,811],"margin-right:0.0315em;",[568,1310,1217],{"className":1311},[1216],[568,1313,1315],{"className":1314},[791],[568,1316,1318],{"className":1317,"style":1224},[795],[568,1319],{},[568,1321,1323,1326],{"className":1322},[824],[568,1324,745],{"className":1325},[824],[568,1327,1329],{"className":1328},[783],[568,1330,1332],{"className":1331},[787],[568,1333,1335],{"className":1334},[791],[568,1336,1338],{"className":1337,"style":796},[795],[568,1339,1340,1343],{"style":799},[568,1341],{"className":1342,"style":804},[803],[568,1344,1346],{"className":1345},[808,809,810,811],[568,1347,1349,1352],{"className":1348},[618,811],[568,1350,736],{"className":1351},[618,811],[568,1353,740],{"className":1354},[618,811],[568,1356],{"className":1357,"style":860},[623],[568,1359,754],{"className":1360},[864],[568,1362],{"className":1363,"style":860},[623],[568,1365,1367,1371,1432,1435,1438,1441,1500],{"className":1366},[609],[568,1368],{"className":1369,"style":1370},[613],"height:1.1555em;vertical-align:-0.3013em;",[568,1372,1374,1377],{"className":1373},[618],[568,1375,657],{"className":1376},[618,619],[568,1378,1380],{"className":1379},[783],[568,1381,1383,1423],{"className":1382},[787,1193],[568,1384,1386,1420],{"className":1385},[791],[568,1387,1390,1402],{"className":1388,"style":1389},[795],"height:0.8542em;",[568,1391,1393,1396],{"style":1392},"top:-2.3987em;margin-left:0em;margin-right:0.05em;",[568,1394],{"className":1395,"style":804},[803],[568,1397,1399],{"className":1398},[808,809,810,811],[568,1400,1114],{"className":1401,"style":1308},[618,619,811],[568,1403,1405,1408],{"style":1404},"top:-3.1031em;margin-right:0.05em;",[568,1406],{"className":1407,"style":804},[803],[568,1409,1411],{"className":1410},[808,809,810,811],[568,1412,1414,1417],{"className":1413},[618,811],[568,1415,736],{"className":1416},[618,811],[568,1418,740],{"className":1419},[618,811],[568,1421,1217],{"className":1422},[1216],[568,1424,1426],{"className":1425},[791],[568,1427,1430],{"className":1428,"style":1429},[795],"height:0.3013em;",[568,1431],{},[568,1433],{"className":1434,"style":1270},[623],[568,1436,1107],{"className":1437},[1274],[568,1439],{"className":1440,"style":1270},[623],[568,1442,1444,1447],{"className":1443},[618],[568,1445,657],{"className":1446},[618,619],[568,1448,1450],{"className":1449},[783],[568,1451,1453,1491],{"className":1452},[787,1193],[568,1454,1456,1488],{"className":1455},[791],[568,1457,1459,1471],{"className":1458,"style":1389},[795],[568,1460,1462,1465],{"style":1461},"top:-2.4337em;margin-left:0em;margin-right:0.05em;",[568,1463],{"className":1464,"style":804},[803],[568,1466,1468],{"className":1467},[808,809,810,811],[568,1469,1104],{"className":1470},[618,811],[568,1472,1473,1476],{"style":1404},[568,1474],{"className":1475,"style":804},[803],[568,1477,1479],{"className":1478},[808,809,810,811],[568,1480,1482,1485],{"className":1481},[618,811],[568,1483,736],{"className":1484},[618,811],[568,1486,740],{"className":1487},[618,811],[568,1489,1217],{"className":1490},[1216],[568,1492,1494],{"className":1493},[791],[568,1495,1498],{"className":1496,"style":1497},[795],"height:0.2663em;",[568,1499],{},[568,1501,1503,1506],{"className":1502},[618],[568,1504,657],{"className":1505},[618,619],[568,1507,1509],{"className":1508},[783],[568,1510,1512,1549],{"className":1511},[787,1193],[568,1513,1515,1546],{"className":1514},[791],[568,1516,1518,1529],{"className":1517,"style":1389},[795],[568,1519,1520,1523],{"style":1461},[568,1521],{"className":1522,"style":804},[803],[568,1524,1526],{"className":1525},[808,809,810,811],[568,1527,740],{"className":1528},[618,811],[568,1530,1531,1534],{"style":1404},[568,1532],{"className":1533,"style":804},[803],[568,1535,1537],{"className":1536},[808,809,810,811],[568,1538,1540,1543],{"className":1539},[618,811],[568,1541,736],{"className":1542},[618,811],[568,1544,740],{"className":1545},[618,811],[568,1547,1217],{"className":1548},[1216],[568,1550,1552],{"className":1551},[791],[568,1553,1555],{"className":1554,"style":1497},[795],[568,1556],{},[709,1558,1559,877],{},[568,1560,1562,1613],{"className":1561},[571],[568,1563,1565],{"className":1564},[575],[577,1566,1567],{"xmlns":579},[581,1568,1569,1610],{},[584,1570,1571,1573,1580,1590,1592,1594,1604],{},[591,1572,726],{"stretchy":725},[728,1574,1575,1577],{},[587,1576,657],{},[587,1578,1579],{},"T",[728,1581,1582,1584],{},[591,1583,745],{"stretchy":725},[584,1585,1586,1588],{},[591,1587,736],{},[738,1589,740],{},[591,1591,754],{},[591,1593,726],{"stretchy":725},[728,1595,1596,1598],{},[587,1597,657],{},[584,1599,1600,1602],{},[591,1601,736],{},[738,1603,740],{},[728,1605,1606,1608],{},[591,1607,745],{"stretchy":725},[587,1609,1579],{},[597,1611,1612],{"encoding":599},"(A^T)^{-1} = (A^{-1})^T",[568,1614,1616,1701],{"className":1615,"ariaHidden":605},[604],[568,1617,1619,1623,1626,1657,1692,1695,1698],{"className":1618},[609],[568,1620],{"className":1621,"style":1622},[613],"height:1.0913em;vertical-align:-0.25em;",[568,1624,726],{"className":1625},[773],[568,1627,1629,1632],{"className":1628},[618],[568,1630,657],{"className":1631},[618,619],[568,1633,1635],{"className":1634},[783],[568,1636,1638],{"className":1637},[787],[568,1639,1641],{"className":1640},[791],[568,1642,1645],{"className":1643,"style":1644},[795],"height:0.8413em;",[568,1646,1647,1650],{"style":799},[568,1648],{"className":1649,"style":804},[803],[568,1651,1653],{"className":1652},[808,809,810,811],[568,1654,1579],{"className":1655,"style":1656},[618,619,811],"margin-right:0.1389em;",[568,1658,1660,1663],{"className":1659},[824],[568,1661,745],{"className":1662},[824],[568,1664,1666],{"className":1665},[783],[568,1667,1669],{"className":1668},[787],[568,1670,1672],{"className":1671},[791],[568,1673,1675],{"className":1674,"style":796},[795],[568,1676,1677,1680],{"style":799},[568,1678],{"className":1679,"style":804},[803],[568,1681,1683],{"className":1682},[808,809,810,811],[568,1684,1686,1689],{"className":1685},[618,811],[568,1687,736],{"className":1688},[618,811],[568,1690,740],{"className":1691},[618,811],[568,1693],{"className":1694,"style":860},[623],[568,1696,754],{"className":1697},[864],[568,1699],{"className":1700,"style":860},[623],[568,1702,1704,1707,1710,1745],{"className":1703},[609],[568,1705],{"className":1706,"style":1622},[613],[568,1708,726],{"className":1709},[773],[568,1711,1713,1716],{"className":1712},[618],[568,1714,657],{"className":1715},[618,619],[568,1717,1719],{"className":1718},[783],[568,1720,1722],{"className":1721},[787],[568,1723,1725],{"className":1724},[791],[568,1726,1728],{"className":1727,"style":796},[795],[568,1729,1730,1733],{"style":799},[568,1731],{"className":1732,"style":804},[803],[568,1734,1736],{"className":1735},[808,809,810,811],[568,1737,1739,1742],{"className":1738},[618,811],[568,1740,736],{"className":1741},[618,811],[568,1743,740],{"className":1744},[618,811],[568,1746,1748,1751],{"className":1747},[824],[568,1749,745],{"className":1750},[824],[568,1752,1754],{"className":1753},[783],[568,1755,1757],{"className":1756},[787],[568,1758,1760],{"className":1759},[791],[568,1761,1763],{"className":1762,"style":1644},[795],[568,1764,1765,1768],{"style":799},[568,1766],{"className":1767,"style":804},[803],[568,1769,1771],{"className":1770},[808,809,810,811],[568,1772,1579],{"className":1773,"style":1656},[618,619,811],[709,1775,1776,2008,2009,877],{},[568,1777,1779,1827],{"className":1778},[571],[568,1780,1782],{"className":1781},[575],[577,1783,1784],{"xmlns":579},[581,1785,1786,1824],{},[584,1787,1788,1790,1793,1795,1805,1807,1814],{},[591,1789,726],{"stretchy":725},[587,1791,1792],{},"λ",[587,1794,657],{},[728,1796,1797,1799],{},[591,1798,745],{"stretchy":725},[584,1800,1801,1803],{},[591,1802,736],{},[738,1804,740],{},[591,1806,754],{},[1808,1809,1810,1812],"mfrac",{},[738,1811,740],{},[587,1813,1792],{},[728,1815,1816,1818],{},[587,1817,657],{},[584,1819,1820,1822],{},[591,1821,736],{},[738,1823,740],{},[597,1825,1826],{"encoding":599},"(\\lambda A)^{-1} = \\frac{1}{\\lambda} A^{-1}",[568,1828,1830,1889],{"className":1829,"ariaHidden":605},[604],[568,1831,1833,1836,1839,1842,1845,1880,1883,1886],{"className":1832},[609],[568,1834],{"className":1835,"style":769},[613],[568,1837,726],{"className":1838},[773],[568,1840,1792],{"className":1841},[618,619],[568,1843,657],{"className":1844},[618,619],[568,1846,1848,1851],{"className":1847},[824],[568,1849,745],{"className":1850},[824],[568,1852,1854],{"className":1853},[783],[568,1855,1857],{"className":1856},[787],[568,1858,1860],{"className":1859},[791],[568,1861,1863],{"className":1862,"style":796},[795],[568,1864,1865,1868],{"style":799},[568,1866],{"className":1867,"style":804},[803],[568,1869,1871],{"className":1870},[808,809,810,811],[568,1872,1874,1877],{"className":1873},[618,811],[568,1875,736],{"className":1876},[618,811],[568,1878,740],{"className":1879},[618,811],[568,1881],{"className":1882,"style":860},[623],[568,1884,754],{"className":1885},[864],[568,1887],{"className":1888,"style":860},[623],[568,1890,1892,1896,1973],{"className":1891},[609],[568,1893],{"className":1894,"style":1895},[613],"height:1.1901em;vertical-align:-0.345em;",[568,1897,1899,1903,1970],{"className":1898},[618],[568,1900],{"className":1901},[773,1902],"nulldelimiter",[568,1904,1906],{"className":1905},[1808],[568,1907,1909,1961],{"className":1908},[787,1193],[568,1910,1912,1958],{"className":1911},[791],[568,1913,1916,1932,1943],{"className":1914,"style":1915},[795],"height:0.8451em;",[568,1917,1919,1923],{"style":1918},"top:-2.655em;",[568,1920],{"className":1921,"style":1922},[803],"height:3em;",[568,1924,1926],{"className":1925},[808,809,810,811],[568,1927,1929],{"className":1928},[618,811],[568,1930,1792],{"className":1931},[618,619,811],[568,1933,1935,1938],{"style":1934},"top:-3.23em;",[568,1936],{"className":1937,"style":1922},[803],[568,1939],{"className":1940,"style":1942},[1941],"frac-line","border-bottom-width:0.04em;",[568,1944,1946,1949],{"style":1945},"top:-3.394em;",[568,1947],{"className":1948,"style":1922},[803],[568,1950,1952],{"className":1951},[808,809,810,811],[568,1953,1955],{"className":1954},[618,811],[568,1956,740],{"className":1957},[618,811],[568,1959,1217],{"className":1960},[1216],[568,1962,1964],{"className":1963},[791],[568,1965,1968],{"className":1966,"style":1967},[795],"height:0.345em;",[568,1969],{},[568,1971],{"className":1972},[824,1902],[568,1974,1976,1979],{"className":1975},[618],[568,1977,657],{"className":1978},[618,619],[568,1980,1982],{"className":1981},[783],[568,1983,1985],{"className":1984},[787],[568,1986,1988],{"className":1987},[791],[568,1989,1991],{"className":1990,"style":796},[795],[568,1992,1993,1996],{"style":799},[568,1994],{"className":1995,"style":804},[803],[568,1997,1999],{"className":1998},[808,809,810,811],[568,2000,2002,2005],{"className":2001},[618,811],[568,2003,736],{"className":2004},[618,811],[568,2006,740],{"className":2007},[618,811]," für ",[568,2010,2012,2033],{"className":2011},[571],[568,2013,2015],{"className":2014},[575],[577,2016,2017],{"xmlns":579},[581,2018,2019,2030],{},[584,2020,2021,2023,2027],{},[587,2022,1792],{},[591,2024,2026],{"mathvariant":2025},"normal","≠",[738,2028,2029],{},"0",[597,2031,2032],{"encoding":599},"\\lambda \\neq 0",[568,2034,2036,2095],{"className":2035,"ariaHidden":605},[604],[568,2037,2039,2043,2046,2049,2092],{"className":2038},[609],[568,2040],{"className":2041,"style":2042},[613],"height:0.8889em;vertical-align:-0.1944em;",[568,2044,1792],{"className":2045},[618,619],[568,2047],{"className":2048,"style":860},[623],[568,2050,2052,2085,2089],{"className":2051},[864],[568,2053,2055],{"className":2054},[864],[568,2056,2059],{"className":2057},[618,2058],"vbox",[568,2060,2063],{"className":2061},[2062],"thinbox",[568,2064,2067,2070,2081],{"className":2065},[2066],"rlap",[568,2068],{"className":2069,"style":2042},[613],[568,2071,2074],{"className":2072},[2073],"inner",[568,2075,2077],{"className":2076},[618],[568,2078,2080],{"className":2079},[864],"",[568,2082],{"className":2083},[2084],"fix",[568,2086],{"className":2087},[623,2088],"nobreak",[568,2090,754],{"className":2091},[864],[568,2093],{"className":2094,"style":860},[623],[568,2096,2098,2102],{"className":2097},[609],[568,2099],{"className":2100,"style":2101},[613],"height:0.6444em;",[568,2103,2029],{"className":2104},[618],[709,2106,2107,673,2320,877],{},[568,2108,2110,2160],{"className":2109},[571],[568,2111,2113],{"className":2112},[575],[577,2114,2115],{"xmlns":579},[581,2116,2117,2157],{},[584,2118,2119,2121,2127,2137,2139,2141,2151],{},[591,2120,726],{"stretchy":725},[728,2122,2123,2125],{},[587,2124,657],{},[587,2126,1114],{},[728,2128,2129,2131],{},[591,2130,745],{"stretchy":725},[584,2132,2133,2135],{},[591,2134,736],{},[738,2136,740],{},[591,2138,754],{},[591,2140,726],{"stretchy":725},[728,2142,2143,2145],{},[587,2144,657],{},[584,2146,2147,2149],{},[591,2148,736],{},[738,2150,740],{},[728,2152,2153,2155],{},[591,2154,745],{"stretchy":725},[587,2156,1114],{},[597,2158,2159],{"encoding":599},"(A^k)^{-1} = (A^{-1})^k",[568,2161,2163,2247],{"className":2162,"ariaHidden":605},[604],[568,2164,2166,2170,2173,2203,2238,2241,2244],{"className":2165},[609],[568,2167],{"className":2168,"style":2169},[613],"height:1.0991em;vertical-align:-0.25em;",[568,2171,726],{"className":2172},[773],[568,2174,2176,2179],{"className":2175},[618],[568,2177,657],{"className":2178},[618,619],[568,2180,2182],{"className":2181},[783],[568,2183,2185],{"className":2184},[787],[568,2186,2188],{"className":2187},[791],[568,2189,2192],{"className":2190,"style":2191},[795],"height:0.8491em;",[568,2193,2194,2197],{"style":799},[568,2195],{"className":2196,"style":804},[803],[568,2198,2200],{"className":2199},[808,809,810,811],[568,2201,1114],{"className":2202,"style":1308},[618,619,811],[568,2204,2206,2209],{"className":2205},[824],[568,2207,745],{"className":2208},[824],[568,2210,2212],{"className":2211},[783],[568,2213,2215],{"className":2214},[787],[568,2216,2218],{"className":2217},[791],[568,2219,2221],{"className":2220,"style":796},[795],[568,2222,2223,2226],{"style":799},[568,2224],{"className":2225,"style":804},[803],[568,2227,2229],{"className":2228},[808,809,810,811],[568,2230,2232,2235],{"className":2231},[618,811],[568,2233,736],{"className":2234},[618,811],[568,2236,740],{"className":2237},[618,811],[568,2239],{"className":2240,"style":860},[623],[568,2242,754],{"className":2243},[864],[568,2245],{"className":2246,"style":860},[623],[568,2248,2250,2253,2256,2291],{"className":2249},[609],[568,2251],{"className":2252,"style":2169},[613],[568,2254,726],{"className":2255},[773],[568,2257,2259,2262],{"className":2258},[618],[568,2260,657],{"className":2261},[618,619],[568,2263,2265],{"className":2264},[783],[568,2266,2268],{"className":2267},[787],[568,2269,2271],{"className":2270},[791],[568,2272,2274],{"className":2273,"style":796},[795],[568,2275,2276,2279],{"style":799},[568,2277],{"className":2278,"style":804},[803],[568,2280,2282],{"className":2281},[808,809,810,811],[568,2283,2285,2288],{"className":2284},[618,811],[568,2286,736],{"className":2287},[618,811],[568,2289,740],{"className":2290},[618,811],[568,2292,2294,2297],{"className":2293},[824],[568,2295,745],{"className":2296},[824],[568,2298,2300],{"className":2299},[783],[568,2301,2303],{"className":2302},[787],[568,2304,2306],{"className":2305},[791],[568,2307,2309],{"className":2308,"style":2191},[795],[568,2310,2311,2314],{"style":799},[568,2312],{"className":2313,"style":804},[803],[568,2315,2317],{"className":2316},[808,809,810,811],[568,2318,1114],{"className":2319,"style":1308},[618,619,811],[568,2321,2323,2369],{"className":2322},[571],[568,2324,2326],{"className":2325},[575],[577,2327,2328],{"xmlns":579},[581,2329,2330,2366],{},[584,2331,2332,2335,2338,2340,2350,2352,2354],{},[587,2333,2334],{},"det",[591,2336,2337],{},"⁡",[591,2339,726],{"stretchy":725},[728,2341,2342,2344],{},[587,2343,657],{},[584,2345,2346,2348],{},[591,2347,736],{},[738,2349,740],{},[591,2351,745],{"stretchy":725},[591,2353,754],{},[1808,2355,2356,2358],{},[738,2357,740],{},[584,2359,2360,2362,2364],{},[587,2361,2334],{},[591,2363,2337],{},[587,2365,657],{},[597,2367,2368],{"encoding":599},"\\det(A^{-1}) = \\frac{1}{\\det A}",[568,2370,2372,2432],{"className":2371,"ariaHidden":605},[604],[568,2373,2375,2378,2382,2385,2420,2423,2426,2429],{"className":2374},[609],[568,2376],{"className":2377,"style":769},[613],[568,2379,2334],{"className":2380},[2381],"mop",[568,2383,726],{"className":2384},[773],[568,2386,2388,2391],{"className":2387},[618],[568,2389,657],{"className":2390},[618,619],[568,2392,2394],{"className":2393},[783],[568,2395,2397],{"className":2396},[787],[568,2398,2400],{"className":2399},[791],[568,2401,2403],{"className":2402,"style":796},[795],[568,2404,2405,2408],{"style":799},[568,2406],{"className":2407,"style":804},[803],[568,2409,2411],{"className":2410},[808,809,810,811],[568,2412,2414,2417],{"className":2413},[618,811],[568,2415,736],{"className":2416},[618,811],[568,2418,740],{"className":2419},[618,811],[568,2421,745],{"className":2422},[824],[568,2424],{"className":2425,"style":860},[623],[568,2427,754],{"className":2428},[864],[568,2430],{"className":2431,"style":860},[623],[568,2433,2435,2438],{"className":2434},[609],[568,2436],{"className":2437,"style":1895},[613],[568,2439,2441,2444,2522],{"className":2440},[618],[568,2442],{"className":2443},[773,1902],[568,2445,2447],{"className":2446},[1808],[568,2448,2450,2514],{"className":2449},[787,1193],[568,2451,2453,2511],{"className":2452},[791],[568,2454,2456,2489,2497],{"className":2455,"style":1915},[795],[568,2457,2458,2461],{"style":1918},[568,2459],{"className":2460,"style":1922},[803],[568,2462,2464],{"className":2463},[808,809,810,811],[568,2465,2467,2482,2486],{"className":2466},[618,811],[568,2468,2470,2474,2478],{"className":2469},[2381,811],[568,2471,2473],{"className":2472},[811],"d",[568,2475,2477],{"className":2476},[811],"e",[568,2479,2481],{"className":2480},[811],"t",[568,2483],{"className":2484,"style":2485},[623,811],"margin-right:0.1952em;",[568,2487,657],{"className":2488},[618,619,811],[568,2490,2491,2494],{"style":1934},[568,2492],{"className":2493,"style":1922},[803],[568,2495],{"className":2496,"style":1942},[1941],[568,2498,2499,2502],{"style":1945},[568,2500],{"className":2501,"style":1922},[803],[568,2503,2505],{"className":2504},[808,809,810,811],[568,2506,2508],{"className":2507},[618,811],[568,2509,740],{"className":2510},[618,811],[568,2512,1217],{"className":2513},[1216],[568,2515,2517],{"className":2516},[791],[568,2518,2520],{"className":2519,"style":1967},[795],[568,2521],{},[568,2523],{"className":2524},[824,1902],[564,2526,2527,2528,2890,2891,2919,2920,2948,2949,2919,2977,3005],{},"Die Produktregel prüft man direkt: ",[568,2529,2531,2624],{"className":2530},[571],[568,2532,2534],{"className":2533},[575],[577,2535,2536],{"xmlns":579},[581,2537,2538,2621],{},[584,2539,2540,2542,2544,2546,2548,2550,2560,2570,2572,2574,2576,2578,2580,2590,2592,2602,2604,2606,2616,2618],{},[591,2541,726],{"stretchy":725},[587,2543,657],{},[587,2545,688],{},[591,2547,745],{"stretchy":725},[591,2549,726],{"stretchy":725},[728,2551,2552,2554],{},[587,2553,688],{},[584,2555,2556,2558],{},[591,2557,736],{},[738,2559,740],{},[728,2561,2562,2564],{},[587,2563,657],{},[584,2565,2566,2568],{},[591,2567,736],{},[738,2569,740],{},[591,2571,745],{"stretchy":725},[591,2573,754],{},[587,2575,657],{},[591,2577,726],{"stretchy":725},[587,2579,688],{},[728,2581,2582,2584],{},[587,2583,688],{},[584,2585,2586,2588],{},[591,2587,736],{},[738,2589,740],{},[591,2591,745],{"stretchy":725},[728,2593,2594,2596],{},[587,2595,657],{},[584,2597,2598,2600],{},[591,2599,736],{},[738,2601,740],{},[591,2603,754],{},[587,2605,657],{},[728,2607,2608,2610],{},[587,2609,657],{},[584,2611,2612,2614],{},[591,2613,736],{},[738,2615,740],{},[591,2617,754],{},[587,2619,2620],{},"E",[597,2622,2623],{"encoding":599},"(AB)(B^{-1} A^{-1}) = A (B B^{-1}) A^{-1} = A A^{-1} = E",[568,2625,2627,2730,2827,2880],{"className":2626,"ariaHidden":605},[604],[568,2628,2630,2633,2636,2639,2642,2645,2648,2683,2718,2721,2724,2727],{"className":2629},[609],[568,2631],{"className":2632,"style":769},[613],[568,2634,726],{"className":2635},[773],[568,2637,657],{"className":2638},[618,619],[568,2640,688],{"className":2641,"style":703},[618,619],[568,2643,745],{"className":2644},[824],[568,2646,726],{"className":2647},[773],[568,2649,2651,2654],{"className":2650},[618],[568,2652,688],{"className":2653,"style":703},[618,619],[568,2655,2657],{"className":2656},[783],[568,2658,2660],{"className":2659},[787],[568,2661,2663],{"className":2662},[791],[568,2664,2666],{"className":2665,"style":796},[795],[568,2667,2668,2671],{"style":799},[568,2669],{"className":2670,"style":804},[803],[568,2672,2674],{"className":2673},[808,809,810,811],[568,2675,2677,2680],{"className":2676},[618,811],[568,2678,736],{"className":2679},[618,811],[568,2681,740],{"className":2682},[618,811],[568,2684,2686,2689],{"className":2685},[618],[568,2687,657],{"className":2688},[618,619],[568,2690,2692],{"className":2691},[783],[568,2693,2695],{"className":2694},[787],[568,2696,2698],{"className":2697},[791],[568,2699,2701],{"className":2700,"style":796},[795],[568,2702,2703,2706],{"style":799},[568,2704],{"className":2705,"style":804},[803],[568,2707,2709],{"className":2708},[808,809,810,811],[568,2710,2712,2715],{"className":2711},[618,811],[568,2713,736],{"className":2714},[618,811],[568,2716,740],{"className":2717},[618,811],[568,2719,745],{"className":2720},[824],[568,2722],{"className":2723,"style":860},[623],[568,2725,754],{"className":2726},[864],[568,2728],{"className":2729,"style":860},[623],[568,2731,2733,2736,2739,2742,2745,2780,2783,2818,2821,2824],{"className":2732},[609],[568,2734],{"className":2735,"style":769},[613],[568,2737,657],{"className":2738},[618,619],[568,2740,726],{"className":2741},[773],[568,2743,688],{"className":2744,"style":703},[618,619],[568,2746,2748,2751],{"className":2747},[618],[568,2749,688],{"className":2750,"style":703},[618,619],[568,2752,2754],{"className":2753},[783],[568,2755,2757],{"className":2756},[787],[568,2758,2760],{"className":2759},[791],[568,2761,2763],{"className":2762,"style":796},[795],[568,2764,2765,2768],{"style":799},[568,2766],{"className":2767,"style":804},[803],[568,2769,2771],{"className":2770},[808,809,810,811],[568,2772,2774,2777],{"className":2773},[618,811],[568,2775,736],{"className":2776},[618,811],[568,2778,740],{"className":2779},[618,811],[568,2781,745],{"className":2782},[824],[568,2784,2786,2789],{"className":2785},[618],[568,2787,657],{"className":2788},[618,619],[568,2790,2792],{"className":2791},[783],[568,2793,2795],{"className":2794},[787],[568,2796,2798],{"className":2797},[791],[568,2799,2801],{"className":2800,"style":796},[795],[568,2802,2803,2806],{"style":799},[568,2804],{"className":2805,"style":804},[803],[568,2807,2809],{"className":2808},[808,809,810,811],[568,2810,2812,2815],{"className":2811},[618,811],[568,2813,736],{"className":2814},[618,811],[568,2816,740],{"className":2817},[618,811],[568,2819],{"className":2820,"style":860},[623],[568,2822,754],{"className":2823},[864],[568,2825],{"className":2826,"style":860},[623],[568,2828,2830,2833,2836,2871,2874,2877],{"className":2829},[609],[568,2831],{"className":2832,"style":796},[613],[568,2834,657],{"className":2835},[618,619],[568,2837,2839,2842],{"className":2838},[618],[568,2840,657],{"className":2841},[618,619],[568,2843,2845],{"className":2844},[783],[568,2846,2848],{"className":2847},[787],[568,2849,2851],{"className":2850},[791],[568,2852,2854],{"className":2853,"style":796},[795],[568,2855,2856,2859],{"style":799},[568,2857],{"className":2858,"style":804},[803],[568,2860,2862],{"className":2861},[808,809,810,811],[568,2863,2865,2868],{"className":2864},[618,811],[568,2866,736],{"className":2867},[618,811],[568,2869,740],{"className":2870},[618,811],[568,2872],{"className":2873,"style":860},[623],[568,2875,754],{"className":2876},[864],[568,2878],{"className":2879,"style":860},[623],[568,2881,2883,2886],{"className":2882},[609],[568,2884],{"className":2885,"style":669},[613],[568,2887,2620],{"className":2888,"style":2889},[618,619],"margin-right:0.0576em;",". Anschaulich: Wer erst ",[568,2892,2894,2907],{"className":2893},[571],[568,2895,2897],{"className":2896},[575],[577,2898,2899],{"xmlns":579},[581,2900,2901,2905],{},[584,2902,2903],{},[587,2904,688],{},[597,2906,688],{"encoding":599},[568,2908,2910],{"className":2909,"ariaHidden":605},[604],[568,2911,2913,2916],{"className":2912},[609],[568,2914],{"className":2915,"style":669},[613],[568,2917,688],{"className":2918,"style":703},[618,619]," und dann ",[568,2921,2923,2936],{"className":2922},[571],[568,2924,2926],{"className":2925},[575],[577,2927,2928],{"xmlns":579},[581,2929,2930,2934],{},[584,2931,2932],{},[587,2933,657],{},[597,2935,657],{"encoding":599},[568,2937,2939],{"className":2938,"ariaHidden":605},[604],[568,2940,2942,2945],{"className":2941},[609],[568,2943],{"className":2944,"style":669},[613],[568,2946,657],{"className":2947},[618,619]," anwendet, muss zum Rückgängigmachen erst ",[568,2950,2952,2965],{"className":2951},[571],[568,2953,2955],{"className":2954},[575],[577,2956,2957],{"xmlns":579},[581,2958,2959,2963],{},[584,2960,2961],{},[587,2962,657],{},[597,2964,657],{"encoding":599},[568,2966,2968],{"className":2967,"ariaHidden":605},[604],[568,2969,2971,2974],{"className":2970},[609],[568,2972],{"className":2973,"style":669},[613],[568,2975,657],{"className":2976},[618,619],[568,2978,2980,2993],{"className":2979},[571],[568,2981,2983],{"className":2982},[575],[577,2984,2985],{"xmlns":579},[581,2986,2987,2991],{},[584,2988,2989],{},[587,2990,688],{},[597,2992,688],{"encoding":599},[568,2994,2996],{"className":2995,"ariaHidden":605},[604],[568,2997,2999,3002],{"className":2998},[609],[568,3000],{"className":3001,"style":669},[613],[568,3003,688],{"className":3004,"style":703},[618,619]," zurücknehmen.",[564,3007,3008,3009,3067,3068,3124,3125,3228,3229,3318],{},"Für quadratische Matrizen reicht eine Seite: Aus ",[568,3010,3012,3033],{"className":3011},[571],[568,3013,3015],{"className":3014},[575],[577,3016,3017],{"xmlns":579},[581,3018,3019,3030],{},[584,3020,3021,3023,3026,3028],{},[587,3022,657],{},[587,3024,3025],{},"X",[591,3027,754],{},[587,3029,2620],{},[597,3031,3032],{"encoding":599},"AX = E",[568,3034,3036,3058],{"className":3035,"ariaHidden":605},[604],[568,3037,3039,3042,3045,3049,3052,3055],{"className":3038},[609],[568,3040],{"className":3041,"style":669},[613],[568,3043,657],{"className":3044},[618,619],[568,3046,3025],{"className":3047,"style":3048},[618,619],"margin-right:0.0785em;",[568,3050],{"className":3051,"style":860},[623],[568,3053,754],{"className":3054},[864],[568,3056],{"className":3057,"style":860},[623],[568,3059,3061,3064],{"className":3060},[609],[568,3062],{"className":3063,"style":669},[613],[568,3065,2620],{"className":3066,"style":2889},[618,619]," folgt schon ",[568,3069,3071,3091],{"className":3070},[571],[568,3072,3074],{"className":3073},[575],[577,3075,3076],{"xmlns":579},[581,3077,3078,3088],{},[584,3079,3080,3082,3084,3086],{},[587,3081,3025],{},[587,3083,657],{},[591,3085,754],{},[587,3087,2620],{},[597,3089,3090],{"encoding":599},"XA = E",[568,3092,3094,3115],{"className":3093,"ariaHidden":605},[604],[568,3095,3097,3100,3103,3106,3109,3112],{"className":3096},[609],[568,3098],{"className":3099,"style":669},[613],[568,3101,3025],{"className":3102,"style":3048},[618,619],[568,3104,657],{"className":3105},[618,619],[568,3107],{"className":3108,"style":860},[623],[568,3110,754],{"className":3111},[864],[568,3113],{"className":3114,"style":860},[623],[568,3116,3118,3121],{"className":3117},[609],[568,3119],{"className":3120,"style":669},[613],[568,3122,2620],{"className":3123,"style":2889},[618,619],". Eine Regel für ",[568,3126,3128,3159],{"className":3127},[571],[568,3129,3131],{"className":3130},[575],[577,3132,3133],{"xmlns":579},[581,3134,3135,3156],{},[584,3136,3137,3139,3141,3144,3146],{},[591,3138,726],{"stretchy":725},[587,3140,657],{},[591,3142,3143],{},"+",[587,3145,688],{},[728,3147,3148,3150],{},[591,3149,745],{"stretchy":725},[584,3151,3152,3154],{},[591,3153,736],{},[738,3155,740],{},[597,3157,3158],{"encoding":599},"(A + B)^{-1}",[568,3160,3162,3184],{"className":3161,"ariaHidden":605},[604],[568,3163,3165,3169,3172,3175,3178,3181],{"className":3164},[609],[568,3166],{"className":3167,"style":3168},[613],"height:1em;vertical-align:-0.25em;",[568,3170,726],{"className":3171},[773],[568,3173,657],{"className":3174},[618,619],[568,3176],{"className":3177,"style":624},[623],[568,3179,3143],{"className":3180},[628],[568,3182],{"className":3183,"style":624},[623],[568,3185,3187,3190,3193],{"className":3186},[609],[568,3188],{"className":3189,"style":769},[613],[568,3191,688],{"className":3192,"style":703},[618,619],[568,3194,3196,3199],{"className":3195},[824],[568,3197,745],{"className":3198},[824],[568,3200,3202],{"className":3201},[783],[568,3203,3205],{"className":3204},[787],[568,3206,3208],{"className":3207},[791],[568,3209,3211],{"className":3210,"style":796},[795],[568,3212,3213,3216],{"style":799},[568,3214],{"className":3215,"style":804},[803],[568,3217,3219],{"className":3218},[808,809,810,811],[568,3220,3222,3225],{"className":3221},[618,811],[568,3223,736],{"className":3224},[618,811],[568,3226,740],{"className":3227},[618,811]," gibt es nicht; die Summe zweier invertierbarer Matrizen muss nicht einmal invertierbar sein (z.B. ",[568,3230,3232,3260],{"className":3231},[571],[568,3233,3235],{"className":3234},[575],[577,3236,3237],{"xmlns":579},[581,3238,3239,3257],{},[584,3240,3241,3243,3245,3247,3249,3251,3253,3255],{},[587,3242,657],{},[591,3244,3143],{},[591,3246,726],{"stretchy":725},[591,3248,736],{},[587,3250,657],{},[591,3252,745],{"stretchy":725},[591,3254,754],{},[738,3256,2029],{},[597,3258,3259],{"encoding":599},"A + (-A) = 0",[568,3261,3263,3282,3309],{"className":3262,"ariaHidden":605},[604],[568,3264,3266,3270,3273,3276,3279],{"className":3265},[609],[568,3267],{"className":3268,"style":3269},[613],"height:0.7667em;vertical-align:-0.0833em;",[568,3271,657],{"className":3272},[618,619],[568,3274],{"className":3275,"style":624},[623],[568,3277,3143],{"className":3278},[628],[568,3280],{"className":3281,"style":624},[623],[568,3283,3285,3288,3291,3294,3297,3300,3303,3306],{"className":3284},[609],[568,3286],{"className":3287,"style":3168},[613],[568,3289,726],{"className":3290},[773],[568,3292,736],{"className":3293},[618],[568,3295,657],{"className":3296},[618,619],[568,3298,745],{"className":3299},[824],[568,3301],{"className":3302,"style":860},[623],[568,3304,754],{"className":3305},[864],[568,3307],{"className":3308,"style":860},[623],[568,3310,3312,3315],{"className":3311},[609],[568,3313],{"className":3314,"style":2101},[613],[568,3316,2029],{"className":3317},[618],").",[559,3320,3322],{"id":3321},"beispiele","Beispiele",[568,3324,3327],{"className":3325},[3326],"katex-display",[568,3328,3330,3554],{"className":3329},[571],[568,3331,3333],{"className":3332},[575],[577,3334,3336],{"xmlns":579,"display":3335},"block",[581,3337,3338,3551],{},[584,3339,3340,3342,3344,3387,3390,3394,3404,3406,3450,3452,3455,3457,3459,3495,3497,3499,3509,3511],{},[587,3341,657],{},[591,3343,754],{},[584,3345,3346,3348,3385],{},[591,3347,726],{"fence":605},[3349,3350,3354,3371],"mtable",{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},"0.16em","center center","1em",[3355,3356,3357,3365],"mtr",{},[3358,3359,3360],"mtd",{},[3361,3362,3363],"mstyle",{"scriptlevel":2029,"displaystyle":725},[738,3364,1104],{},[3358,3366,3367],{},[3361,3368,3369],{"scriptlevel":2029,"displaystyle":725},[738,3370,740],{},[3355,3372,3373,3379],{},[3358,3374,3375],{},[3361,3376,3377],{"scriptlevel":2029,"displaystyle":725},[738,3378,740],{},[3358,3380,3381],{},[3361,3382,3383],{"scriptlevel":2029,"displaystyle":725},[738,3384,740],{},[591,3386,745],{"fence":605},[591,3388,3389],{"separator":605},",",[3391,3392,3393],"mtext",{}," ",[728,3395,3396,3398],{},[587,3397,657],{},[584,3399,3400,3402],{},[591,3401,736],{},[738,3403,740],{},[591,3405,754],{},[584,3407,3408,3410,3448],{},[591,3409,726],{"fence":605},[3349,3411,3412,3430],{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},[3355,3413,3414,3420],{},[3358,3415,3416],{},[3361,3417,3418],{"scriptlevel":2029,"displaystyle":725},[738,3419,740],{},[3358,3421,3422],{},[3361,3423,3424],{"scriptlevel":2029,"displaystyle":725},[584,3425,3426,3428],{},[591,3427,736],{},[738,3429,740],{},[3355,3431,3432,3442],{},[3358,3433,3434],{},[3361,3435,3436],{"scriptlevel":2029,"displaystyle":725},[584,3437,3438,3440],{},[591,3439,736],{},[738,3441,740],{},[3358,3443,3444],{},[3361,3445,3446],{"scriptlevel":2029,"displaystyle":725},[738,3447,1104],{},[591,3449,745],{"fence":605},[591,3451,3389],{"separator":605},[623,3453],{"width":3454},"2em",[587,3456,688],{},[591,3458,754],{},[584,3460,3461,3463,3493],{},[591,3462,726],{"fence":605},[3349,3464,3465,3479],{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},[3355,3466,3467,3473],{},[3358,3468,3469],{},[3361,3470,3471],{"scriptlevel":2029,"displaystyle":725},[738,3472,740],{},[3358,3474,3475],{},[3361,3476,3477],{"scriptlevel":2029,"displaystyle":725},[738,3478,1104],{},[3355,3480,3481,3487],{},[3358,3482,3483],{},[3361,3484,3485],{"scriptlevel":2029,"displaystyle":725},[738,3486,2029],{},[3358,3488,3489],{},[3361,3490,3491],{"scriptlevel":2029,"displaystyle":725},[738,3492,740],{},[591,3494,745],{"fence":605},[591,3496,3389],{"separator":605},[3391,3498,3393],{},[728,3500,3501,3503],{},[587,3502,688],{},[584,3504,3505,3507],{},[591,3506,736],{},[738,3508,740],{},[591,3510,754],{},[584,3512,3513,3515,3549],{},[591,3514,726],{"fence":605},[3349,3516,3517,3535],{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},[3355,3518,3519,3525],{},[3358,3520,3521],{},[3361,3522,3523],{"scriptlevel":2029,"displaystyle":725},[738,3524,740],{},[3358,3526,3527],{},[3361,3528,3529],{"scriptlevel":2029,"displaystyle":725},[584,3530,3531,3533],{},[591,3532,736],{},[738,3534,1104],{},[3355,3536,3537,3543],{},[3358,3538,3539],{},[3361,3540,3541],{"scriptlevel":2029,"displaystyle":725},[738,3542,2029],{},[3358,3544,3545],{},[3361,3546,3547],{"scriptlevel":2029,"displaystyle":725},[738,3548,740],{},[591,3550,745],{"fence":605},[597,3552,3553],{"encoding":599},"A = \\begin{pmatrix} 2 & 1 \\\\ 1 & 1 \\end{pmatrix},\\ A^{-1} = \\begin{pmatrix} 1 & -1 \\\\ -1 & 2 \\end{pmatrix}, \\qquad\nB = \\begin{pmatrix} 1 & 2 \\\\ 0 & 1 \\end{pmatrix},\\ B^{-1} = \\begin{pmatrix} 1 & -2 \\\\ 0 & 1 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Produkt ist ",[568,4231,4233,4289],{"className":4232},[571],[568,4234,4236],{"className":4235},[575],[577,4237,4238],{"xmlns":579},[581,4239,4240,4286],{},[584,4241,4242,4244,4246,4248],{},[587,4243,657],{},[587,4245,688],{},[591,4247,754],{},[584,4249,4250,4252,4284],{},[591,4251,726],{"fence":605},[3349,4253,4254,4269],{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},[3355,4255,4256,4262],{},[3358,4257,4258],{},[3361,4259,4260],{"scriptlevel":2029,"displaystyle":725},[738,4261,1104],{},[3358,4263,4264],{},[3361,4265,4266],{"scriptlevel":2029,"displaystyle":725},[738,4267,4268],{},"5",[3355,4270,4271,4277],{},[3358,4272,4273],{},[3361,4274,4275],{"scriptlevel":2029,"displaystyle":725},[738,4276,740],{},[3358,4278,4279],{},[3361,4280,4281],{"scriptlevel":2029,"displaystyle":725},[738,4282,4283],{},"3",[591,4285,745],{"fence":605},[597,4287,4288],{"encoding":599},"AB = \\begin{pmatrix} 2 & 5 \\\\ 1 & 3 \\end{pmatrix}",[568,4290,4292,4313],{"className":4291,"ariaHidden":605},[604],[568,4293,4295,4298,4301,4304,4307,4310],{"className":4294},[609],[568,4296],{"className":4297,"style":669},[613],[568,4299,657],{"className":4300},[618,619],[568,4302,688],{"className":4303,"style":703},[618,619],[568,4305],{"className":4306,"style":860},[623],[568,4308,754],{"className":4309},[864],[568,4311],{"className":4312,"style":860},[623],[568,4314,4316,4319],{"className":4315},[609],[568,4317],{"className":4318,"style":3581},[613],[568,4320,4322,4328,4430],{"className":4321},[1274],[568,4323,4325],{"className":4324,"style":3589},[773,3588],[568,4326,726],{"className":4327},[3593,810],[568,4329,4331],{"className":4330},[618],[568,4332,4334,4379,4382,4385],{"className":4333},[3349],[568,4335,4337],{"className":4336},[3603],[568,4338,4340,4371],{"className":4339},[787,1193],[568,4341,4343,4368],{"className":4342},[791],[568,4344,4346,4357],{"className":4345,"style":3613},[795],[568,4347,4348,4351],{"style":3616},[568,4349],{"className":4350,"style":1922},[803],[568,4352,4354],{"className":4353},[618],[568,4355,1104],{"className":4356},[618],[568,4358,4359,4362],{"style":3628},[568,4360],{"className":4361,"style":1922},[803],[568,4363,4365],{"className":4364},[618],[568,4366,740],{"className":4367},[618],[568,4369,1217],{"className":4370},[1216],[568,4372,4374],{"className":4373},[791],[568,4375,4377],{"className":4376,"style":3647},[795],[568,4378],{},[568,4380],{"className":4381,"style":3654},[3653],[568,4383],{"className":4384,"style":3654},[3653],[568,4386,4388],{"className":4387},[3603],[568,4389,4391,4422],{"className":4390},[787,1193],[568,4392,4394,4419],{"className":4393},[791],[568,4395,4397,4408],{"className":4396,"style":3613},[795],[568,4398,4399,4402],{"style":3616},[568,4400],{"className":4401,"style":1922},[803],[568,4403,4405],{"className":4404},[618],[568,4406,4268],{"className":4407},[618],[568,4409,4410,4413],{"style":3628},[568,4411],{"className":4412,"style":1922},[803],[568,4414,4416],{"className":4415},[618],[568,4417,4283],{"className":4418},[618],[568,4420,1217],{"className":4421},[1216],[568,4423,4425],{"className":4424},[791],[568,4426,4428],{"className":4427,"style":3647},[795],[568,4429],{},[568,4431,4433],{"className":4432,"style":3589},[824,3588],[568,4434,745],{"className":4435},[3593,810]," mit Determinante ",[568,4438,4440,4453],{"className":4439},[571],[568,4441,4443],{"className":4442},[575],[577,4444,4445],{"xmlns":579},[581,4446,4447,4451],{},[584,4448,4449],{},[738,4450,740],{},[597,4452,740],{"encoding":599},[568,4454,4456],{"className":4455,"ariaHidden":605},[604],[568,4457,4459,4462],{"className":4458},[609],[568,4460],{"className":4461,"style":2101},[613],[568,4463,740],{"className":4464},[618],", also ",[568,4467,4469,4543],{"className":4468},[571],[568,4470,4472],{"className":4471},[575],[577,4473,4474],{"xmlns":579},[581,4475,4476,4540],{},[584,4477,4478,4480,4482,4484,4494,4496],{},[591,4479,726],{"stretchy":725},[587,4481,657],{},[587,4483,688],{},[728,4485,4486,4488],{},[591,4487,745],{"stretchy":725},[584,4489,4490,4492],{},[591,4491,736],{},[738,4493,740],{},[591,4495,754],{},[584,4497,4498,4500,4538],{},[591,4499,726],{"fence":605},[3349,4501,4502,4520],{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},[3355,4503,4504,4510],{},[3358,4505,4506],{},[3361,4507,4508],{"scriptlevel":2029,"displaystyle":725},[738,4509,4283],{},[3358,4511,4512],{},[3361,4513,4514],{"scriptlevel":2029,"displaystyle":725},[584,4515,4516,4518],{},[591,4517,736],{},[738,4519,4268],{},[3355,4521,4522,4532],{},[3358,4523,4524],{},[3361,4525,4526],{"scriptlevel":2029,"displaystyle":725},[584,4527,4528,4530],{},[591,4529,736],{},[738,4531,740],{},[3358,4533,4534],{},[3361,4535,4536],{"scriptlevel":2029,"displaystyle":725},[738,4537,1104],{},[591,4539,745],{"fence":605},[597,4541,4542],{"encoding":599},"(AB)^{-1} = \\begin{pmatrix} 3 & -5 \\\\ -1 & 2 \\end{pmatrix}",[568,4544,4546,4605],{"className":4545,"ariaHidden":605},[604],[568,4547,4549,4552,4555,4558,4561,4596,4599,4602],{"className":4548},[609],[568,4550],{"className":4551,"style":769},[613],[568,4553,726],{"className":4554},[773],[568,4556,657],{"className":4557},[618,619],[568,4559,688],{"className":4560,"style":703},[618,619],[568,4562,4564,4567],{"className":4563},[824],[568,4565,745],{"className":4566},[824],[568,4568,4570],{"className":4569},[783],[568,4571,4573],{"className":4572},[787],[568,4574,4576],{"className":4575},[791],[568,4577,4579],{"className":4578,"style":796},[795],[568,4580,4581,4584],{"style":799},[568,4582],{"className":4583,"style":804},[803],[568,4585,4587],{"className":4586},[808,809,810,811],[568,4588,4590,4593],{"className":4589},[618,811],[568,4591,736],{"className":4592},[618,811],[568,4594,740],{"className":4595},[618,811],[568,4597],{"className":4598,"style":860},[623],[568,4600,754],{"className":4601},[864],[568,4603],{"className":4604,"style":860},[623],[568,4606,4608,4611],{"className":4607},[609],[568,4609],{"className":4610,"style":3581},[613],[568,4612,4614,4620,4728],{"className":4613},[1274],[568,4615,4617],{"className":4616,"style":3589},[773,3588],[568,4618,726],{"className":4619},[3593,810],[568,4621,4623],{"className":4622},[618],[568,4624,4626,4674,4677,4680],{"className":4625},[3349],[568,4627,4629],{"className":4628},[3603],[568,4630,4632,4666],{"className":4631},[787,1193],[568,4633,4635,4663],{"className":4634},[791],[568,4636,4638,4649],{"className":4637,"style":3613},[795],[568,4639,4640,4643],{"style":3616},[568,4641],{"className":4642,"style":1922},[803],[568,4644,4646],{"className":4645},[618],[568,4647,4283],{"className":4648},[618],[568,4650,4651,4654],{"style":3628},[568,4652],{"className":4653,"style":1922},[803],[568,4655,4657,4660],{"className":4656},[618],[568,4658,736],{"className":4659},[618],[568,4661,740],{"className":4662},[618],[568,4664,1217],{"className":4665},[1216],[568,4667,4669],{"className":4668},[791],[568,4670,4672],{"className":4671,"style":3647},[795],[568,4673],{},[568,4675],{"className":4676,"style":3654},[3653],[568,4678],{"className":4679,"style":3654},[3653],[568,4681,4683],{"className":4682},[3603],[568,4684,4686,4720],{"className":4685},[787,1193],[568,4687,4689,4717],{"className":4688},[791],[568,4690,4692,4706],{"className":4691,"style":3613},[795],[568,4693,4694,4697],{"style":3616},[568,4695],{"className":4696,"style":1922},[803],[568,4698,4700,4703],{"className":4699},[618],[568,4701,736],{"className":4702},[618],[568,4704,4268],{"className":4705},[618],[568,4707,4708,4711],{"style":3628},[568,4709],{"className":4710,"style":1922},[803],[568,4712,4714],{"className":4713},[618],[568,4715,1104],{"className":4716},[618],[568,4718,1217],{"className":4719},[1216],[568,4721,4723],{"className":4722},[791],[568,4724,4726],{"className":4725,"style":3647},[795],[568,4727],{},[568,4729,4731],{"className":4730,"style":3589},[824,3588],[568,4732,745],{"className":4733},[3593,810],". Die Regel liefert dasselbe:",[568,4736,4738],{"className":4737},[3326],[568,4739,4741,4907],{"className":4740},[571],[568,4742,4744],{"className":4743},[575],[577,4745,4746],{"xmlns":579,"display":3335},[581,4747,4748,4904],{},[584,4749,4750,4760,4770,4772,4812,4856,4858,4902],{},[728,4751,4752,4754],{},[587,4753,688],{},[584,4755,4756,4758],{},[591,4757,736],{},[738,4759,740],{},[728,4761,4762,4764],{},[587,4763,657],{},[584,4765,4766,4768],{},[591,4767,736],{},[738,4769,740],{},[591,4771,754],{},[584,4773,4774,4776,4810],{},[591,4775,726],{"fence":605},[3349,4777,4778,4796],{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},[3355,4779,4780,4786],{},[3358,4781,4782],{},[3361,4783,4784],{"scriptlevel":2029,"displaystyle":725},[738,4785,740],{},[3358,4787,4788],{},[3361,4789,4790],{"scriptlevel":2029,"displaystyle":725},[584,4791,4792,4794],{},[591,4793,736],{},[738,4795,1104],{},[3355,4797,4798,4804],{},[3358,4799,4800],{},[3361,4801,4802],{"scriptlevel":2029,"displaystyle":725},[738,4803,2029],{},[3358,4805,4806],{},[3361,4807,4808],{"scriptlevel":2029,"displaystyle":725},[738,4809,740],{},[591,4811,745],{"fence":605},[584,4813,4814,4816,4854],{},[591,4815,726],{"fence":605},[3349,4817,4818,4836],{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},[3355,4819,4820,4826],{},[3358,4821,4822],{},[3361,4823,4824],{"scriptlevel":2029,"displaystyle":725},[738,4825,740],{},[3358,4827,4828],{},[3361,4829,4830],{"scriptlevel":2029,"displaystyle":725},[584,4831,4832,4834],{},[591,4833,736],{},[738,4835,740],{},[3355,4837,4838,4848],{},[3358,4839,4840],{},[3361,4841,4842],{"scriptlevel":2029,"displaystyle":725},[584,4843,4844,4846],{},[591,4845,736],{},[738,4847,740],{},[3358,4849,4850],{},[3361,4851,4852],{"scriptlevel":2029,"displaystyle":725},[738,4853,1104],{},[591,4855,745],{"fence":605},[591,4857,754],{},[584,4859,4860,4862,4900],{},[591,4861,726],{"fence":605},[3349,4863,4864,4882],{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},[3355,4865,4866,4872],{},[3358,4867,4868],{},[3361,4869,4870],{"scriptlevel":2029,"displaystyle":725},[738,4871,4283],{},[3358,4873,4874],{},[3361,4875,4876],{"scriptlevel":2029,"displaystyle":725},[584,4877,4878,4880],{},[591,4879,736],{},[738,4881,4268],{},[3355,4883,4884,4894],{},[3358,4885,4886],{},[3361,4887,4888],{"scriptlevel":2029,"displaystyle":725},[584,4889,4890,4892],{},[591,4891,736],{},[738,4893,740],{},[3358,4895,4896],{},[3361,4897,4898],{"scriptlevel":2029,"displaystyle":725},[738,4899,1104],{},[591,4901,745],{"fence":605},[587,4903,877],{"mathvariant":2025},[597,4905,4906],{"encoding":599},"B^{-1} A^{-1} = \\begin{pmatrix} 1 & -2 \\\\ 0 & 1 \\end{pmatrix} \\begin{pmatrix} 1 & -1 \\\\ -1 & 2 \\end{pmatrix} = \\begin{pmatrix} 3 & -5 \\\\ -1 & 2 \\end{pmatrix}.",[568,4908,4910,4995,5256],{"className":4909,"ariaHidden":605},[604],[568,4911,4913,4916,4951,4986,4989,4992],{"className":4912},[609],[568,4914],{"className":4915,"style":3740},[613],[568,4917,4919,4922],{"className":4918},[618],[568,4920,688],{"className":4921,"style":703},[618,619],[568,4923,4925],{"className":4924},[783],[568,4926,4928],{"className":4927},[787],[568,4929,4931],{"className":4930},[791],[568,4932,4934],{"className":4933,"style":3740},[795],[568,4935,4936,4939],{"style":3743},[568,4937],{"className":4938,"style":804},[803],[568,4940,4942],{"className":4941},[808,809,810,811],[568,4943,4945,4948],{"className":4944},[618,811],[568,4946,736],{"className":4947},[618,811],[568,4949,740],{"className":4950},[618,811],[568,4952,4954,4957],{"className":4953},[618],[568,4955,657],{"className":4956},[618,619],[568,4958,4960],{"className":4959},[783],[568,4961,4963],{"className":4962},[787],[568,4964,4966],{"className":4965},[791],[568,4967,4969],{"className":4968,"style":3740},[795],[568,4970,4971,4974],{"style":3743},[568,4972],{"className":4973,"style":804},[803],[568,4975,4977],{"className":4976},[808,809,810,811],[568,4978,4980,4983],{"className":4979},[618,811],[568,4981,736],{"className":4982},[618,811],[568,4984,740],{"className":4985},[618,811],[568,4987],{"className":4988,"style":860},[623],[568,4990,754],{"className":4991},[864],[568,4993],{"className":4994,"style":860},[623],[568,4996,4998,5001,5121,5124,5247,5250,5253],{"className":4997},[609],[568,4999],{"className":5000,"style":3581},[613],[568,5002,5004,5010,5115],{"className":5003},[1274],[568,5005,5007],{"className":5006,"style":3589},[773,3588],[568,5008,726],{"className":5009},[3593,810],[568,5011,5013],{"className":5012},[618],[568,5014,5016,5061,5064,5067],{"className":5015},[3349],[568,5017,5019],{"className":5018},[3603],[568,5020,5022,5053],{"className":5021},[787,1193],[568,5023,5025,5050],{"className":5024},[791],[568,5026,5028,5039],{"className":5027,"style":3613},[795],[568,5029,5030,5033],{"style":3616},[568,5031],{"className":5032,"style":1922},[803],[568,5034,5036],{"className":5035},[618],[568,5037,740],{"className":5038},[618],[568,5040,5041,5044],{"style":3628},[568,5042],{"className":5043,"style":1922},[803],[568,5045,5047],{"className":5046},[618],[568,5048,2029],{"className":5049},[618],[568,5051,1217],{"className":5052},[1216],[568,5054,5056],{"className":5055},[791],[568,5057,5059],{"className":5058,"style":3647},[795],[568,5060],{},[568,5062],{"className":5063,"style":3654},[3653],[568,5065],{"className":5066,"style":3654},[3653],[568,5068,5070],{"className":5069},[3603],[568,5071,5073,5107],{"className":5072},[787,1193],[568,5074,5076,5104],{"className":5075},[791],[568,5077,5079,5093],{"className":5078,"style":3613},[795],[568,5080,5081,5084],{"style":3616},[568,5082],{"className":5083,"style":1922},[803],[568,5085,5087,5090],{"className":5086},[618],[568,5088,736],{"className":5089},[618],[568,5091,1104],{"className":5092},[618],[568,5094,5095,5098],{"style":3628},[568,5096],{"className":5097,"style":1922},[803],[568,5099,5101],{"className":5100},[618],[568,5102,740],{"className":5103},[618],[568,5105,1217],{"className":5106},[1216],[568,5108,5110],{"className":5109},[791],[568,5111,5113],{"className":5112,"style":3647},[795],[568,5114],{},[568,5116,5118],{"className":5117,"style":3589},[824,3588],[568,5119,745],{"className":5120},[3593,810],[568,5122],{"className":5123,"style":1270},[623],[568,5125,5127,5133,5241],{"className":5126},[1274],[568,5128,5130],{"className":5129,"style":3589},[773,3588],[568,5131,726],{"className":5132},[3593,810],[568,5134,5136],{"className":5135},[618],[568,5137,5139,5187,5190,5193],{"className":5138},[3349],[568,5140,5142],{"className":5141},[3603],[568,5143,5145,5179],{"className":5144},[787,1193],[568,5146,5148,5176],{"className":5147},[791],[568,5149,5151,5162],{"className":5150,"style":3613},[795],[568,5152,5153,5156],{"style":3616},[568,5154],{"className":5155,"style":1922},[803],[568,5157,5159],{"className":5158},[618],[568,5160,740],{"className":5161},[618],[568,5163,5164,5167],{"style":3628},[568,5165],{"className":5166,"style":1922},[803],[568,5168,5170,5173],{"className":5169},[618],[568,5171,736],{"className":5172},[618],[568,5174,740],{"className":5175},[618],[568,5177,1217],{"className":5178},[1216],[568,5180,5182],{"className":5181},[791],[568,5183,5185],{"className":5184,"style":3647},[795],[568,5186],{},[568,5188],{"className":5189,"style":3654},[3653],[568,5191],{"className":5192,"style":3654},[3653],[568,5194,5196],{"className":5195},[3603],[568,5197,5199,5233],{"className":5198},[787,1193],[568,5200,5202,5230],{"className":5201},[791],[568,5203,5205,5219],{"className":5204,"style":3613},[795],[568,5206,5207,5210],{"style":3616},[568,5208],{"className":5209,"style":1922},[803],[568,5211,5213,5216],{"className":5212},[618],[568,5214,736],{"className":5215},[618],[568,5217,740],{"className":5218},[618],[568,5220,5221,5224],{"style":3628},[568,5222],{"className":5223,"style":1922},[803],[568,5225,5227],{"className":5226},[618],[568,5228,1104],{"className":5229},[618],[568,5231,1217],{"className":5232},[1216],[568,5234,5236],{"className":5235},[791],[568,5237,5239],{"className":5238,"style":3647},[795],[568,5240],{},[568,5242,5244],{"className":5243,"style":3589},[824,3588],[568,5245,745],{"className":5246},[3593,810],[568,5248],{"className":5249,"style":860},[623],[568,5251,754],{"className":5252},[864],[568,5254],{"className":5255,"style":860},[623],[568,5257,5259,5262,5385,5388],{"className":5258},[609],[568,5260],{"className":5261,"style":3581},[613],[568,5263,5265,5271,5379],{"className":5264},[1274],[568,5266,5268],{"className":5267,"style":3589},[773,3588],[568,5269,726],{"className":5270},[3593,810],[568,5272,5274],{"className":5273},[618],[568,5275,5277,5325,5328,5331],{"className":5276},[3349],[568,5278,5280],{"className":5279},[3603],[568,5281,5283,5317],{"className":5282},[787,1193],[568,5284,5286,5314],{"className":5285},[791],[568,5287,5289,5300],{"className":5288,"style":3613},[795],[568,5290,5291,5294],{"style":3616},[568,5292],{"className":5293,"style":1922},[803],[568,5295,5297],{"className":5296},[618],[568,5298,4283],{"className":5299},[618],[568,5301,5302,5305],{"style":3628},[568,5303],{"className":5304,"style":1922},[803],[568,5306,5308,5311],{"className":5307},[618],[568,5309,736],{"className":5310},[618],[568,5312,740],{"className":5313},[618],[568,5315,1217],{"className":5316},[1216],[568,5318,5320],{"className":5319},[791],[568,5321,5323],{"className":5322,"style":3647},[795],[568,5324],{},[568,5326],{"className":5327,"style":3654},[3653],[568,5329],{"className":5330,"style":3654},[3653],[568,5332,5334],{"className":5333},[3603],[568,5335,5337,5371],{"className":5336},[787,1193],[568,5338,5340,5368],{"className":5339},[791],[568,5341,5343,5357],{"className":5342,"style":3613},[795],[568,5344,5345,5348],{"style":3616},[568,5346],{"className":5347,"style":1922},[803],[568,5349,5351,5354],{"className":5350},[618],[568,5352,736],{"className":5353},[618],[568,5355,4268],{"className":5356},[618],[568,5358,5359,5362],{"style":3628},[568,5360],{"className":5361,"style":1922},[803],[568,5363,5365],{"className":5364},[618],[568,5366,1104],{"className":5367},[618],[568,5369,1217],{"className":5370},[1216],[568,5372,5374],{"className":5373},[791],[568,5375,5377],{"className":5376,"style":3647},[795],[568,5378],{},[568,5380,5382],{"className":5381,"style":3589},[824,3588],[568,5383,745],{"className":5384},[3593,810],[568,5386],{"className":5387,"style":1270},[623],[568,5389,877],{"className":5390},[618],[564,5392,5393,5394,5693,5694,877],{},"In falscher Reihenfolge ergibt sich ",[568,5395,5397,5476],{"className":5396},[571],[568,5398,5400],{"className":5399},[575],[577,5401,5402],{"xmlns":579},[581,5403,5404,5473],{},[584,5405,5406,5416,5426,5428],{},[728,5407,5408,5410],{},[587,5409,657],{},[584,5411,5412,5414],{},[591,5413,736],{},[738,5415,740],{},[728,5417,5418,5420],{},[587,5419,688],{},[584,5421,5422,5424],{},[591,5423,736],{},[738,5425,740],{},[591,5427,754],{},[584,5429,5430,5432,5471],{},[591,5431,726],{"fence":605},[3349,5433,5434,5452],{"rowspacing":3351,"columnalign":3352,"columnspacing":3353},[3355,5435,5436,5442],{},[3358,5437,5438],{},[3361,5439,5440],{"scriptlevel":2029,"displaystyle":725},[738,5441,740],{},[3358,5443,5444],{},[3361,5445,5446],{"scriptlevel":2029,"displaystyle":725},[584,5447,5448,5450],{},[591,5449,736],{},[738,5451,4283],{},[3355,5453,5454,5464],{},[3358,5455,5456],{},[3361,5457,5458],{"scriptlevel":2029,"displaystyle":725},[584,5459,5460,5462],{},[591,5461,736],{},[738,5463,740],{},[3358,5465,5466],{},[3361,5467,5468],{"scriptlevel":2029,"displaystyle":725},[738,5469,5470],{},"4",[591,5472,745],{"fence":605},[597,5474,5475],{"encoding":599},"A^{-1} B^{-1} = \\begin{pmatrix} 1 & -3 \\\\ -1 & 4 \\end{pmatrix}",[568,5477,5479,5564],{"className":5478,"ariaHidden":605},[604],[568,5480,5482,5485,5520,5555,5558,5561],{"className":5481},[609],[568,5483],{"className":5484,"style":796},[613],[568,5486,5488,5491],{"className":5487},[618],[568,5489,657],{"className":5490},[618,619],[568,5492,5494],{"className":5493},[783],[568,5495,5497],{"className":5496},[787],[568,5498,5500],{"className":5499},[791],[568,5501,5503],{"className":5502,"style":796},[795],[568,5504,5505,5508],{"style":799},[568,5506],{"className":5507,"style":804},[803],[568,5509,5511],{"className":5510},[808,809,810,811],[568,5512,5514,5517],{"className":5513},[618,811],[568,5515,736],{"className":5516},[618,811],[568,5518,740],{"className":5519},[618,811],[568,5521,5523,5526],{"className":5522},[618],[568,5524,688],{"className":5525,"style":703},[618,619],[568,5527,5529],{"className":5528},[783],[568,5530,5532],{"className":5531},[787],[568,5533,5535],{"className":5534},[791],[568,5536,5538],{"className":5537,"style":796},[795],[568,5539,5540,5543],{"style":799},[568,5541],{"className":5542,"style":804},[803],[568,5544,5546],{"className":5545},[808,809,810,811],[568,5547,5549,5552],{"className":5548},[618,811],[568,5550,736],{"className":5551},[618,811],[568,5553,740],{"className":5554},[618,811],[568,5556],{"className":5557,"style":860},[623],[568,5559,754],{"className":5560},[864],[568,5562],{"className":5563,"style":860},[623],[568,5565,5567,5570],{"className":5566},[609],[568,5568],{"className":5569,"style":3581},[613],[568,5571,5573,5579,5687],{"className":5572},[1274],[568,5574,5576],{"className":5575,"style":3589},[773,3588],[568,5577,726],{"className":5578},[3593,810],[568,5580,5582],{"className":5581},[618],[568,5583,5585,5633,5636,5639],{"className":5584},[3349],[568,5586,5588],{"className":5587},[3603],[568,5589,5591,5625],{"className":5590},[787,1193],[568,5592,5594,5622],{"className":5593},[791],[568,5595,5597,5608],{"className":5596,"style":3613},[795],[568,5598,5599,5602],{"style":3616},[568,5600],{"className":5601,"style":1922},[803],[568,5603,5605],{"className":5604},[618],[568,5606,740],{"className":5607},[618],[568,5609,5610,5613],{"style":3628},[568,5611],{"className":5612,"style":1922},[803],[568,5614,5616,5619],{"className":5615},[618],[568,5617,736],{"className":5618},[618],[568,5620,740],{"className":5621},[618],[568,5623,1217],{"className":5624},[1216],[568,5626,5628],{"className":5627},[791],[568,5629,5631],{"className":5630,"style":3647},[795],[568,5632],{},[568,5634],{"className":5635,"style":3654},[3653],[568,5637],{"className":5638,"style":3654},[3653],[568,5640,5642],{"className":5641},[3603],[568,5643,5645,5679],{"className":5644},[787,1193],[568,5646,5648,5676],{"className":5647},[791],[568,5649,5651,5665],{"className":5650,"style":3613},[795],[568,5652,5653,5656],{"style":3616},[568,5654],{"className":5655,"style":1922},[803],[568,5657,5659,5662],{"className":5658},[618],[568,5660,736],{"className":5661},[618],[568,5663,4283],{"className":5664},[618],[568,5666,5667,5670],{"style":3628},[568,5668],{"className":5669,"style":1922},[803],[568,5671,5673],{"className":5672},[618],[568,5674,5470],{"className":5675},[618],[568,5677,1217],{"className":5678},[1216],[568,5680,5682],{"className":5681},[791],[568,5683,5685],{"className":5684,"style":3647},[795],[568,5686],{},[568,5688,5690],{"className":5689,"style":3589},[824,3588],[568,5691,745],{"className":5692},[3593,810],", also nicht die Inverse von ",[568,5695,5697,5713],{"className":5696},[571],[568,5698,5700],{"className":5699},[575],[577,5701,5702],{"xmlns":579},[581,5703,5704,5710],{},[584,5705,5706,5708],{},[587,5707,657],{},[587,5709,688],{},[597,5711,5712],{"encoding":599},"AB",[568,5714,5716],{"className":5715,"ariaHidden":605},[604],[568,5717,5719,5722,5725],{"className":5718},[609],[568,5720],{"className":5721,"style":669},[613],[568,5723,657],{"className":5724},[618,619],[568,5726,688],{"className":5727,"style":703},[618,619],[559,5729,5731],{"id":5730},"typische-fehler","Typische Fehler",[706,5733,5734,5985,6214,6511],{},[709,5735,5736,5927,5928,673,5956,5984],{},[568,5737,5739,5789],{"className":5738},[571],[568,5740,5742],{"className":5741},[575],[577,5743,5744],{"xmlns":579},[581,5745,5746,5786],{},[584,5747,5748,5750,5752,5754,5764,5766,5776],{},[591,5749,726],{"stretchy":725},[587,5751,657],{},[587,5753,688],{},[728,5755,5756,5758],{},[591,5757,745],{"stretchy":725},[584,5759,5760,5762],{},[591,5761,736],{},[738,5763,740],{},[591,5765,754],{},[728,5767,5768,5770],{},[587,5769,657],{},[584,5771,5772,5774],{},[591,5773,736],{},[738,5775,740],{},[728,5777,5778,5780],{},[587,5779,688],{},[584,5781,5782,5784],{},[591,5783,736],{},[738,5785,740],{},[597,5787,5788],{"encoding":599},"(AB)^{-1} = A^{-1} B^{-1}",[568,5790,5792,5851],{"className":5791,"ariaHidden":605},[604],[568,5793,5795,5798,5801,5804,5807,5842,5845,5848],{"className":5794},[609],[568,5796],{"className":5797,"style":769},[613],[568,5799,726],{"className":5800},[773],[568,5802,657],{"className":5803},[618,619],[568,5805,688],{"className":5806,"style":703},[618,619],[568,5808,5810,5813],{"className":5809},[824],[568,5811,745],{"className":5812},[824],[568,5814,5816],{"className":5815},[783],[568,5817,5819],{"className":5818},[787],[568,5820,5822],{"className":5821},[791],[568,5823,5825],{"className":5824,"style":796},[795],[568,5826,5827,5830],{"style":799},[568,5828],{"className":5829,"style":804},[803],[568,5831,5833],{"className":5832},[808,809,810,811],[568,5834,5836,5839],{"className":5835},[618,811],[568,5837,736],{"className":5838},[618,811],[568,5840,740],{"className":5841},[618,811],[568,5843],{"className":5844,"style":860},[623],[568,5846,754],{"className":5847},[864],[568,5849],{"className":5850,"style":860},[623],[568,5852,5854,5857,5892],{"className":5853},[609],[568,5855],{"className":5856,"style":796},[613],[568,5858,5860,5863],{"className":5859},[618],[568,5861,657],{"className":5862},[618,619],[568,5864,5866],{"className":5865},[783],[568,5867,5869],{"className":5868},[787],[568,5870,5872],{"className":5871},[791],[568,5873,5875],{"className":5874,"style":796},[795],[568,5876,5877,5880],{"style":799},[568,5878],{"className":5879,"style":804},[803],[568,5881,5883],{"className":5882},[808,809,810,811],[568,5884,5886,5889],{"className":5885},[618,811],[568,5887,736],{"className":5888},[618,811],[568,5890,740],{"className":5891},[618,811],[568,5893,5895,5898],{"className":5894},[618],[568,5896,688],{"className":5897,"style":703},[618,619],[568,5899,5901],{"className":5900},[783],[568,5902,5904],{"className":5903},[787],[568,5905,5907],{"className":5906},[791],[568,5908,5910],{"className":5909,"style":796},[795],[568,5911,5912,5915],{"style":799},[568,5913],{"className":5914,"style":804},[803],[568,5916,5918],{"className":5917},[808,809,810,811],[568,5919,5921,5924],{"className":5920},[618,811],[568,5922,736],{"className":5923},[618,811],[568,5925,740],{"className":5926},[618,811]," schreiben. Das stimmt nur, wenn ",[568,5929,5931,5944],{"className":5930},[571],[568,5932,5934],{"className":5933},[575],[577,5935,5936],{"xmlns":579},[581,5937,5938,5942],{},[584,5939,5940],{},[587,5941,657],{},[597,5943,657],{"encoding":599},[568,5945,5947],{"className":5946,"ariaHidden":605},[604],[568,5948,5950,5953],{"className":5949},[609],[568,5951],{"className":5952,"style":669},[613],[568,5954,657],{"className":5955},[618,619],[568,5957,5959,5972],{"className":5958},[571],[568,5960,5962],{"className":5961},[575],[577,5963,5964],{"xmlns":579},[581,5965,5966,5970],{},[584,5967,5968],{},[587,5969,688],{},[597,5971,688],{"encoding":599},[568,5973,5975],{"className":5974,"ariaHidden":605},[604],[568,5976,5978,5981],{"className":5977},[609],[568,5979],{"className":5980,"style":669},[613],[568,5982,688],{"className":5983,"style":703},[618,619]," vertauschbar sind.",[709,5986,5987,6213],{},[568,5988,5990,6044],{"className":5989},[571],[568,5991,5993],{"className":5992},[575],[577,5994,5995],{"xmlns":579},[581,5996,5997,6041],{},[584,5998,5999,6001,6003,6005,6007,6017,6019,6029,6031],{},[591,6000,726],{"stretchy":725},[587,6002,657],{},[591,6004,3143],{},[587,6006,688],{},[728,6008,6009,6011],{},[591,6010,745],{"stretchy":725},[584,6012,6013,6015],{},[591,6014,736],{},[738,6016,740],{},[591,6018,754],{},[728,6020,6021,6023],{},[587,6022,657],{},[584,6024,6025,6027],{},[591,6026,736],{},[738,6028,740],{},[591,6030,3143],{},[728,6032,6033,6035],{},[587,6034,688],{},[584,6036,6037,6039],{},[591,6038,736],{},[738,6040,740],{},[597,6042,6043],{"encoding":599},"(A + B)^{-1} = A^{-1} + B^{-1}",[568,6045,6047,6068,6121,6172],{"className":6046,"ariaHidden":605},[604],[568,6048,6050,6053,6056,6059,6062,6065],{"className":6049},[609],[568,6051],{"className":6052,"style":3168},[613],[568,6054,726],{"className":6055},[773],[568,6057,657],{"className":6058},[618,619],[568,6060],{"className":6061,"style":624},[623],[568,6063,3143],{"className":6064},[628],[568,6066],{"className":6067,"style":624},[623],[568,6069,6071,6074,6077,6112,6115,6118],{"className":6070},[609],[568,6072],{"className":6073,"style":769},[613],[568,6075,688],{"className":6076,"style":703},[618,619],[568,6078,6080,6083],{"className":6079},[824],[568,6081,745],{"className":6082},[824],[568,6084,6086],{"className":6085},[783],[568,6087,6089],{"className":6088},[787],[568,6090,6092],{"className":6091},[791],[568,6093,6095],{"className":6094,"style":796},[795],[568,6096,6097,6100],{"style":799},[568,6098],{"className":6099,"style":804},[803],[568,6101,6103],{"className":6102},[808,809,810,811],[568,6104,6106,6109],{"className":6105},[618,811],[568,6107,736],{"className":6108},[618,811],[568,6110,740],{"className":6111},[618,811],[568,6113],{"className":6114,"style":860},[623],[568,6116,754],{"className":6117},[864],[568,6119],{"className":6120,"style":860},[623],[568,6122,6124,6128,6163,6166,6169],{"className":6123},[609],[568,6125],{"className":6126,"style":6127},[613],"height:0.8974em;vertical-align:-0.0833em;",[568,6129,6131,6134],{"className":6130},[618],[568,6132,657],{"className":6133},[618,619],[568,6135,6137],{"className":6136},[783],[568,6138,6140],{"className":6139},[787],[568,6141,6143],{"className":6142},[791],[568,6144,6146],{"className":6145,"style":796},[795],[568,6147,6148,6151],{"style":799},[568,6149],{"className":6150,"style":804},[803],[568,6152,6154],{"className":6153},[808,809,810,811],[568,6155,6157,6160],{"className":6156},[618,811],[568,6158,736],{"className":6159},[618,811],[568,6161,740],{"className":6162},[618,811],[568,6164],{"className":6165,"style":624},[623],[568,6167,3143],{"className":6168},[628],[568,6170],{"className":6171,"style":624},[623],[568,6173,6175,6178],{"className":6174},[609],[568,6176],{"className":6177,"style":796},[613],[568,6179,6181,6184],{"className":6180},[618],[568,6182,688],{"className":6183,"style":703},[618,619],[568,6185,6187],{"className":6186},[783],[568,6188,6190],{"className":6189},[787],[568,6191,6193],{"className":6192},[791],[568,6194,6196],{"className":6195,"style":796},[795],[568,6197,6198,6201],{"style":799},[568,6199],{"className":6200,"style":804},[803],[568,6202,6204],{"className":6203},[808,809,810,811],[568,6205,6207,6210],{"className":6206},[618,811],[568,6208,736],{"className":6209},[618,811],[568,6211,740],{"className":6212},[618,811]," annehmen. Diese Regel gibt es nicht.",[709,6215,6216,6367,6368,877],{},[568,6217,6219,6261],{"className":6218},[571],[568,6220,6222],{"className":6221},[575],[577,6223,6224],{"xmlns":579},[581,6225,6226,6258],{},[584,6227,6228,6230,6232,6234,6244,6246,6248],{},[591,6229,726],{"stretchy":725},[587,6231,1792],{},[587,6233,657],{},[728,6235,6236,6238],{},[591,6237,745],{"stretchy":725},[584,6239,6240,6242],{},[591,6241,736],{},[738,6243,740],{},[591,6245,754],{},[587,6247,1792],{},[728,6249,6250,6252],{},[587,6251,657],{},[584,6253,6254,6256],{},[591,6255,736],{},[738,6257,740],{},[597,6259,6260],{"encoding":599},"(\\lambda A)^{-1} = \\lambda A^{-1}",[568,6262,6264,6323],{"className":6263,"ariaHidden":605},[604],[568,6265,6267,6270,6273,6276,6279,6314,6317,6320],{"className":6266},[609],[568,6268],{"className":6269,"style":769},[613],[568,6271,726],{"className":6272},[773],[568,6274,1792],{"className":6275},[618,619],[568,6277,657],{"className":6278},[618,619],[568,6280,6282,6285],{"className":6281},[824],[568,6283,745],{"className":6284},[824],[568,6286,6288],{"className":6287},[783],[568,6289,6291],{"className":6290},[787],[568,6292,6294],{"className":6293},[791],[568,6295,6297],{"className":6296,"style":796},[795],[568,6298,6299,6302],{"style":799},[568,6300],{"className":6301,"style":804},[803],[568,6303,6305],{"className":6304},[808,809,810,811],[568,6306,6308,6311],{"className":6307},[618,811],[568,6309,736],{"className":6310},[618,811],[568,6312,740],{"className":6313},[618,811],[568,6315],{"className":6316,"style":860},[623],[568,6318,754],{"className":6319},[864],[568,6321],{"className":6322,"style":860},[623],[568,6324,6326,6329,6332],{"className":6325},[609],[568,6327],{"className":6328,"style":796},[613],[568,6330,1792],{"className":6331},[618,619],[568,6333,6335,6338],{"className":6334},[618],[568,6336,657],{"className":6337},[618,619],[568,6339,6341],{"className":6340},[783],[568,6342,6344],{"className":6343},[787],[568,6345,6347],{"className":6346},[791],[568,6348,6350],{"className":6349,"style":796},[795],[568,6351,6352,6355],{"style":799},[568,6353],{"className":6354,"style":804},[803],[568,6356,6358],{"className":6357},[808,809,810,811],[568,6359,6361,6364],{"className":6360},[618,811],[568,6362,736],{"className":6363},[618,811],[568,6365,740],{"className":6366},[618,811]," rechnen. Der Skalar wird ebenfalls invertiert: ",[568,6369,6371,6399],{"className":6370},[571],[568,6372,6374],{"className":6373},[575],[577,6375,6376],{"xmlns":579},[581,6377,6378,6396],{},[584,6379,6380,6386],{},[1808,6381,6382,6384],{},[738,6383,740],{},[587,6385,1792],{},[728,6387,6388,6390],{},[587,6389,657],{},[584,6391,6392,6394],{},[591,6393,736],{},[738,6395,740],{},[597,6397,6398],{"encoding":599},"\\frac{1}{\\lambda} A^{-1}",[568,6400,6402],{"className":6401,"ariaHidden":605},[604],[568,6403,6405,6408,6476],{"className":6404},[609],[568,6406],{"className":6407,"style":1895},[613],[568,6409,6411,6414,6473],{"className":6410},[618],[568,6412],{"className":6413},[773,1902],[568,6415,6417],{"className":6416},[1808],[568,6418,6420,6465],{"className":6419},[787,1193],[568,6421,6423,6462],{"className":6422},[791],[568,6424,6426,6440,6448],{"className":6425,"style":1915},[795],[568,6427,6428,6431],{"style":1918},[568,6429],{"className":6430,"style":1922},[803],[568,6432,6434],{"className":6433},[808,809,810,811],[568,6435,6437],{"className":6436},[618,811],[568,6438,1792],{"className":6439},[618,619,811],[568,6441,6442,6445],{"style":1934},[568,6443],{"className":6444,"style":1922},[803],[568,6446],{"className":6447,"style":1942},[1941],[568,6449,6450,6453],{"style":1945},[568,6451],{"className":6452,"style":1922},[803],[568,6454,6456],{"className":6455},[808,809,810,811],[568,6457,6459],{"className":6458},[618,811],[568,6460,740],{"className":6461},[618,811],[568,6463,1217],{"className":6464},[1216],[568,6466,6468],{"className":6467},[791],[568,6469,6471],{"className":6470,"style":1967},[795],[568,6472],{},[568,6474],{"className":6475},[824,1902],[568,6477,6479,6482],{"className":6478},[618],[568,6480,657],{"className":6481},[618,619],[568,6483,6485],{"className":6484},[783],[568,6486,6488],{"className":6487},[787],[568,6489,6491],{"className":6490},[791],[568,6492,6494],{"className":6493,"style":796},[795],[568,6495,6496,6499],{"style":799},[568,6497],{"className":6498,"style":804},[803],[568,6500,6502],{"className":6501},[808,809,810,811],[568,6503,6505,6508],{"className":6504},[618,811],[568,6506,736],{"className":6507},[618,811],[568,6509,740],{"className":6510},[618,811],[709,6512,6513,6514,6572,6573,6669,6670,877],{},"Durch eine Matrix „teilen\". Aus ",[568,6515,6517,6538],{"className":6516},[571],[568,6518,6520],{"className":6519},[575],[577,6521,6522],{"xmlns":579},[581,6523,6524,6535],{},[584,6525,6526,6528,6530,6532],{},[587,6527,657],{},[587,6529,3025],{},[591,6531,754],{},[587,6533,6534],{},"C",[597,6536,6537],{"encoding":599},"AX = C",[568,6539,6541,6562],{"className":6540,"ariaHidden":605},[604],[568,6542,6544,6547,6550,6553,6556,6559],{"className":6543},[609],[568,6545],{"className":6546,"style":669},[613],[568,6548,657],{"className":6549},[618,619],[568,6551,3025],{"className":6552,"style":3048},[618,619],[568,6554],{"className":6555,"style":860},[623],[568,6557,754],{"className":6558},[864],[568,6560],{"className":6561,"style":860},[623],[568,6563,6565,6568],{"className":6564},[609],[568,6566],{"className":6567,"style":669},[613],[568,6569,6534],{"className":6570,"style":6571},[618,619],"margin-right:0.0715em;"," folgt ",[568,6574,6576,6604],{"className":6575},[571],[568,6577,6579],{"className":6578},[575],[577,6580,6581],{"xmlns":579},[581,6582,6583,6601],{},[584,6584,6585,6587,6589,6599],{},[587,6586,3025],{},[591,6588,754],{},[728,6590,6591,6593],{},[587,6592,657],{},[584,6594,6595,6597],{},[591,6596,736],{},[738,6598,740],{},[587,6600,6534],{},[597,6602,6603],{"encoding":599},"X = A^{-1} C",[568,6605,6607,6625],{"className":6606,"ariaHidden":605},[604],[568,6608,6610,6613,6616,6619,6622],{"className":6609},[609],[568,6611],{"className":6612,"style":669},[613],[568,6614,3025],{"className":6615,"style":3048},[618,619],[568,6617],{"className":6618,"style":860},[623],[568,6620,754],{"className":6621},[864],[568,6623],{"className":6624,"style":860},[623],[568,6626,6628,6631,6666],{"className":6627},[609],[568,6629],{"className":6630,"style":796},[613],[568,6632,6634,6637],{"className":6633},[618],[568,6635,657],{"className":6636},[618,619],[568,6638,6640],{"className":6639},[783],[568,6641,6643],{"className":6642},[787],[568,6644,6646],{"className":6645},[791],[568,6647,6649],{"className":6648,"style":796},[795],[568,6650,6651,6654],{"style":799},[568,6652],{"className":6653,"style":804},[803],[568,6655,6657],{"className":6656},[808,809,810,811],[568,6658,6660,6663],{"className":6659},[618,811],[568,6661,736],{"className":6662},[618,811],[568,6664,740],{"className":6665},[618,811],[568,6667,6534],{"className":6668,"style":6571},[618,619]," (Multiplikation von links), nicht ",[568,6671,6673,6701],{"className":6672},[571],[568,6674,6676],{"className":6675},[575],[577,6677,6678],{"xmlns":579},[581,6679,6680,6698],{},[584,6681,6682,6684,6686,6688],{},[587,6683,3025],{},[591,6685,754],{},[587,6687,6534],{},[728,6689,6690,6692],{},[587,6691,657],{},[584,6693,6694,6696],{},[591,6695,736],{},[738,6697,740],{},[597,6699,6700],{"encoding":599},"X = C A^{-1}",[568,6702,6704,6722],{"className":6703,"ariaHidden":605},[604],[568,6705,6707,6710,6713,6716,6719],{"className":6706},[609],[568,6708],{"className":6709,"style":669},[613],[568,6711,3025],{"className":6712,"style":3048},[618,619],[568,6714],{"className":6715,"style":860},[623],[568,6717,754],{"className":6718},[864],[568,6720],{"className":6721,"style":860},[623],[568,6723,6725,6728,6731],{"className":6724},[609],[568,6726],{"className":6727,"style":796},[613],[568,6729,6534],{"className":6730,"style":6571},[618,619],[568,6732,6734,6737],{"className":6733},[618],[568,6735,657],{"className":6736},[618,619],[568,6738,6740],{"className":6739},[783],[568,6741,6743],{"className":6742},[787],[568,6744,6746],{"className":6745},[791],[568,6747,6749],{"className":6748,"style":796},[795],[568,6750,6751,6754],{"style":799},[568,6752],{"className":6753,"style":804},[803],[568,6755,6757],{"className":6756},[808,809,810,811],[568,6758,6760,6763],{"className":6759},[618,811],[568,6761,736],{"className":6762},[618,811],[568,6764,740],{"className":6765},[618,811],{"title":6767,"searchDepth":6768,"depth":6768,"links":6769},"",2,[6770,6771,6772],{"id":561,"depth":6768,"text":562},{"id":3321,"depth":6768,"text":3322},{"id":5730,"depth":6768,"text":5731},[6774,6777,6780,6783,6786,6788,6790,6792,6794,6796,6799,6801,6803,6806,6808,6811],{"lhs":6775,"rhs":6776},"inv(multiply([[a + 3, b], [c, d + 3]], [[p + 3, q], [r, s + 3]]))[1, 2]","multiply(inv([[p + 3, q], [r, s + 3]]), inv([[a + 3, b], [c, d + 3]]))[1, 2]",{"lhs":6778,"rhs":6779},"inv(multiply([[a + 3, b], [c, d + 3]], [[p + 3, q], [r, s + 3]]))[2, 1]","multiply(inv([[p + 3, q], [r, s + 3]]), inv([[a + 3, b], [c, d + 3]]))[2, 1]",{"lhs":6781,"rhs":6782},"inv(transpose([[a + 3, b], [c, d + 3]]))[1, 2]","transpose(inv([[a + 3, b], [c, d + 3]]))[1, 2]",{"lhs":6784,"rhs":6785},"inv(t * [[a + 3, b], [c, d + 3]])[2, 1]","inv([[a + 3, b], [c, d + 3]])[2, 1] \u002F t",{"lhs":6787,"rhs":740},"multiply([[2, 1], [1, 1]], [[1, -1], [-1, 2]])[1, 1]",{"lhs":6789,"rhs":2029},"multiply([[2, 1], [1, 1]], [[1, -1], [-1, 2]])[1, 2]",{"lhs":6791,"rhs":2029},"multiply([[1, 2], [0, 1]], [[1, -2], [0, 1]])[1, 2]",{"lhs":6793,"rhs":4268},"multiply([[2, 1], [1, 1]], [[1, 2], [0, 1]])[1, 2]",{"lhs":6795,"rhs":740},"det([[2, 5], [1, 3]])",{"lhs":6797,"rhs":6798},"inv([[2, 5], [1, 3]])[1, 2]","-5",{"lhs":6800,"rhs":4283},"multiply([[1, -2], [0, 1]], [[1, -1], [-1, 2]])[1, 1]",{"lhs":6802,"rhs":6798},"multiply([[1, -2], [0, 1]], [[1, -1], [-1, 2]])[1, 2]",{"lhs":6804,"rhs":6805},"multiply([[1, -2], [0, 1]], [[1, -1], [-1, 2]])[2, 1]","-1",{"lhs":6807,"rhs":1104},"multiply([[1, -2], [0, 1]], [[1, -1], [-1, 2]])[2, 2]",{"lhs":6809,"rhs":6810},"multiply([[1, -1], [-1, 2]], [[1, -2], [0, 1]])[1, 2]","-3",{"lhs":6812,"rhs":5470},"multiply([[1, -1], [-1, 2]], [[1, -2], [0, 1]])[2, 2]","A, B \\in \\mathbb{R}^{n \\times n} \\text{ invertierbar},\\ \\lambda \\neq 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmsup>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>×\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A, B \\in \\mathbb{R}^{n \\times n}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7713em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7713em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">×\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">invertierbar\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.3em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>λ\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\lambda \\neq 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","inverse-rules","(AB)^{-1} = B^{-1} A^{-1}, \\qquad (A^{T})^{-1} = (A^{-1})^{T}, \\qquad (\\lambda A)^{-1} = \\tfrac{1}{\\lambda} A^{-1}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>B\u003C\u002Fmi>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmo>=\u003C\u002Fmo>\u003Cmsup>\u003Cmi>B\u003C\u002Fmi>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmsup>\u003Cmi>A\u003C\u002Fmi>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>T\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmo>=\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>A\u003C\u002Fmi>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmi>T\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>λ\u003C\u002Fmi>\u003Cmi>A\u003C\u002Fmi>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003Cmo>=\u003C\u002Fmo>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmi>λ\u003C\u002Fmi>\u003C\u002Fmfrac>\u003C\u002Fmstyle>\u003Cmsup>\u003Cmi>A\u003C\u002Fmi>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">(AB)^{-1} = B^{-1} A^{-1}, \\qquad (A^{T})^{-1} = (A^{-1})^{T}, \\qquad (\\lambda A)^{-1} = \\tfrac{1}{\\lambda} A^{-1}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.1141em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.1413em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:2em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8913em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.1413em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8913em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:2em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.2091em;vertical-align:-0.345em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8451em;\">\u003Cspan style=\"top:-2.655em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">λ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.394em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.345em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Frechenregeln-inverse",[],[6826,6827,6828,6829],"inverse-2x2","adjugate-inverse","transpose-rules","determinant-rules",{"title":548,"description":6767},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Frechenregeln-inverse","Die Inverse eines Produkts ist das Produkt der Inversen in umgekehrter Reihenfolge; Inverse und Transponierte vertauschen.",[6834,6835,6836,6837],"inverse","matrix","invertierbar","matrizenprodukt",[6839,6843,6847,6851],{"symbol":6840,"meaning":6841,"symbolHtml":6842},"A, B","invertierbare n × n-Matrizen","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A, B\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":6844,"meaning":6845,"symbolHtml":6846},"A^{-1}","Inverse von A, es gilt A A⁻¹ = A⁻¹ A = E","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmi>A\u003C\u002Fmi>\u003Cmrow>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A^{-1}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8141em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":6848,"meaning":6849,"symbolHtml":6850},"A^{T}","Transponierte von A","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>T\u003C\u002Fmi>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A^{T}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8413em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan 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encoding=\"application\u002Fx-tex\">\\lambda\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","QB45TaZxwdUVETi--WzpaWAvg919EgXGEhE8-VZ4VMc",[6857,6860,6863,6866],{"stem":6858,"title":6859,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Finverse-2x2-matrix","Inverse einer 2×2-Matrix",{"stem":6861,"title":6862,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Finverse-ueber-adjunkte","Inverse über die Adjunkte",{"stem":6864,"title":6865,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Frechenregeln-determinanten","Rechenregeln für 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