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weil jede der ",[569,1049,1051,1064],{"className":1050},[572],[569,1052,1054],{"className":1053},[576],[578,1055,1056],{"xmlns":580},[582,1057,1058,1062],{},[585,1059,1060],{},[588,1061,590],{},[598,1063,590],{"encoding":600},[569,1065,1067],{"className":1066,"ariaHidden":606},[605],[569,1068,1070,1073],{"className":1069},[610],[569,1071],{"className":1072,"style":639},[614],[569,1074,590],{"className":1075},[619,620]," Zeilen den Faktor ",[569,1078,1080,1094],{"className":1079},[572],[569,1081,1083],{"className":1082},[576],[578,1084,1085],{"xmlns":580},[582,1086,1087,1091],{},[585,1088,1089],{},[588,1090,944],{},[598,1092,1093],{"encoding":600},"\\lambda",[569,1095,1097],{"className":1096,"ariaHidden":606},[605],[569,1098,1100,1103],{"className":1099},[610],[569,1101],{"className":1102,"style":753},[614],[569,1104,944],{"className":1105},[619,620]," trägt.",[648,1108,1109,1112,1113,1142,1143,1349,1350,788],{},[651,1110,1111],{},"Inverse:"," Ist 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",[569,1144,1146,1198],{"className":1145},[572],[569,1147,1149],{"className":1148},[576],[578,1150,1151],{"xmlns":580},[582,1152,1153,1195],{},[585,1154,1155,1157,1159,1161,1174,1176,1178],{},[588,1156,669],{},[592,1158,672],{},[592,1160,676],{"stretchy":675},[813,1162,1163,1165],{},[588,1164,679],{},[585,1166,1167,1170],{},[592,1168,1169],{},"−",[1171,1172,1173],"mn",{},"1",[592,1175,685],{"stretchy":675},[592,1177,688],{},[1179,1180,1182],"mstyle",{"scriptlevel":1181,"displaystyle":606},"0",[1183,1184,1185,1187],"mfrac",{},[1171,1186,1173],{},[585,1188,1189,1191,1193],{},[588,1190,669],{},[592,1192,672],{},[588,1194,679],{},[598,1196,1197],{"encoding":600},"\\det(A^{-1}) = \\dfrac{1}{\\det A}",[569,1199,1201,1262],{"className":1200,"ariaHidden":606},[605],[569,1202,1204,1208,1211,1214,1250,1253,1256,1259],{"className":1203},[610],[569,1205],{"className":1206,"style":1207},[614],"height:1.0641em;vertical-align:-0.25em;",[569,1209,669],{"className":1210},[720],[569,1212,676],{"className":1213},[724],[569,1215,1217,1220],{"className":1216},[619],[569,1218,679],{"className":1219},[619,620],[569,1221,1223],{"className":1222},[858],[569,1224,1226],{"className":1225},[862],[569,1227,1229],{"className":1228},[866],[569,1230,1233],{"className":1231,"style":1232},[870],"height:0.8141em;",[569,1234,1235,1238],{"style":874},[569,1236],{"className":1237,"style":879},[878],[569,1239,1241],{"className":1240},[883,884,885,886],[569,1242,1244,1247],{"className":1243},[619,886],[569,1245,1169],{"className":1246},[619,886],[569,1248,1173],{"className":1249},[619,886],[569,1251,685],{"className":1252},[735],[569,1254],{"className":1255,"style":739},[624],[569,1257,688],{"className":1258},[743],[569,1260],{"className":1261,"style":739},[624],[569,1263,1265,1269],{"className":1264},[610],[569,1266],{"className":1267,"style":1268},[614],"height:2.0074em;vertical-align:-0.686em;",[569,1270,1272,1276,1346],{"className":1271},[619],[569,1273],{"className":1274},[724,1275],"nulldelimiter",[569,1277,1279],{"className":1278},[1183],[569,1280,1283,1337],{"className":1281},[862,1282],"vlist-t2",[569,1284,1286,1332],{"className":1285},[866],[569,1287,1290,1309,1320],{"className":1288,"style":1289},[870],"height:1.3214em;",[569,1291,1293,1297],{"style":1292},"top:-2.314em;",[569,1294],{"className":1295,"style":1296},[878],"height:3em;",[569,1298,1300,1303,1306],{"className":1299},[619],[569,1301,669],{"className":1302},[720],[569,1304],{"className":1305,"style":760},[624],[569,1307,679],{"className":1308},[619,620],[569,1310,1312,1315],{"style":1311},"top:-3.23em;",[569,1313],{"className":1314,"style":1296},[878],[569,1316],{"className":1317,"style":1319},[1318],"frac-line","border-bottom-width:0.04em;",[569,1321,1323,1326],{"style":1322},"top:-3.677em;",[569,1324],{"className":1325,"style":1296},[878],[569,1327,1329],{"className":1328},[619],[569,1330,1173],{"className":1331},[619],[569,1333,1336],{"className":1334},[1335],"vlist-s","​",[569,1338,1340],{"className":1339},[866],[569,1341,1344],{"className":1342,"style":1343},[870],"height:0.686em;",[569,1345],{},[569,1347],{"className":1348},[735,1275],". Das folgt aus dem Produktsatz mit ",[569,1351,1353,1382],{"className":1352},[572],[569,1354,1356],{"className":1355},[576],[578,1357,1358],{"xmlns":580},[582,1359,1360,1379],{},[585,1361,1362,1364,1374,1376],{},[588,1363,679],{},[813,1365,1366,1368],{},[588,1367,679],{},[585,1369,1370,1372],{},[592,1371,1169],{},[1171,1373,1173],{},[592,1375,688],{},[588,1377,1378],{},"E",[598,1380,1381],{"encoding":600},"A A^{-1} = E",[569,1383,1385,1438],{"className":1384,"ariaHidden":606},[605],[569,1386,1388,1391,1394,1429,1432,1435],{"className":1387},[610],[569,1389],{"className":1390,"style":1232},[614],[569,1392,679],{"className":1393},[619,620],[569,1395,1397,1400],{"className":1396},[619],[569,1398,679],{"className":1399},[619,620],[569,1401,1403],{"className":1402},[858],[569,1404,1406],{"className":1405},[862],[569,1407,1409],{"className":1408},[866],[569,1410,1412],{"className":1411,"style":1232},[870],[569,1413,1414,1417],{"style":874},[569,1415],{"className":1416,"style":879},[878],[569,1418,1420],{"className":1419},[883,884,885,886],[569,1421,1423,1426],{"className":1422},[619,886],[569,1424,1169],{"className":1425},[619,886],[569,1427,1173],{"className":1428},[619,886],[569,1430],{"className":1431,"style":739},[624],[569,1433,688],{"className":1434},[743],[569,1436],{"className":1437,"style":739},[624],[569,1439,1441,1444],{"className":1440},[610],[569,1442],{"className":1443,"style":1138},[614],[569,1445,1378],{"className":1446,"style":1447},[619,620],"margin-right:0.0576em;",[648,1449,1450,654,1453,1481,1482,788],{},[651,1451,1452],{},"Invertierbarkeit:",[569,1454,1456,1469],{"className":1455},[572],[569,1457,1459],{"className":1458},[576],[578,1460,1461],{"xmlns":580},[582,1462,1463,1467],{},[585,1464,1465],{},[588,1466,679],{},[598,1468,679],{"encoding":600},[569,1470,1472],{"className":1471,"ariaHidden":606},[605],[569,1473,1475,1478],{"className":1474},[610],[569,1476],{"className":1477,"style":1138},[614],[569,1479,679],{"className":1480},[619,620]," ist genau dann invertierbar, wenn ",[569,1483,1485,1509],{"className":1484},[572],[569,1486,1488],{"className":1487},[576],[578,1489,1490],{"xmlns":580},[582,1491,1492,1506],{},[585,1493,1494,1496,1498,1500,1504],{},[588,1495,669],{},[592,1497,672],{},[588,1499,679],{},[592,1501,1503],{"mathvariant":1502},"normal","≠",[1171,1505,1181],{},[598,1507,1508],{"encoding":600},"\\det A \\neq 0",[569,1510,1512,1577],{"className":1511,"ariaHidden":606},[605],[569,1513,1515,1519,1522,1525,1528,1531,1574],{"className":1514},[610],[569,1516],{"className":1517,"style":1518},[614],"height:0.8889em;vertical-align:-0.1944em;",[569,1520,669],{"className":1521},[720],[569,1523],{"className":1524,"style":760},[624],[569,1526,679],{"className":1527},[619,620],[569,1529],{"className":1530,"style":739},[624],[569,1532,1534,1567,1571],{"className":1533},[743],[569,1535,1537],{"className":1536},[743],[569,1538,1541],{"className":1539},[619,1540],"vbox",[569,1542,1545],{"className":1543},[1544],"thinbox",[569,1546,1549,1552,1563],{"className":1547},[1548],"rlap",[569,1550],{"className":1551,"style":1518},[614],[569,1553,1556],{"className":1554},[1555],"inner",[569,1557,1559],{"className":1558},[619],[569,1560,1562],{"className":1561},[743],"",[569,1564],{"className":1565},[1566],"fix",[569,1568],{"className":1569},[624,1570],"nobreak",[569,1572,688],{"className":1573},[743],[569,1575],{"className":1576,"style":739},[624],[569,1578,1580,1584],{"className":1579},[610],[569,1581],{"className":1582,"style":1583},[614],"height:0.6444em;",[569,1585,1181],{"className":1586},[619],[565,1588,1589],{},"Wirkung von Zeilenumformungen:",[645,1591,1592,1595,1656],{},[648,1593,1594],{},"Zwei Zeilen vertauschen: Die Determinante wechselt das Vorzeichen.",[648,1596,1597,1598,1626,1627,1655],{},"Eine Zeile mit ",[569,1599,1601,1614],{"className":1600},[572],[569,1602,1604],{"className":1603},[576],[578,1605,1606],{"xmlns":580},[582,1607,1608,1612],{},[585,1609,1610],{},[588,1611,944],{},[598,1613,1093],{"encoding":600},[569,1615,1617],{"className":1616,"ariaHidden":606},[605],[569,1618,1620,1623],{"className":1619},[610],[569,1621],{"className":1622,"style":753},[614],[569,1624,944],{"className":1625},[619,620]," multiplizieren: Die Determinante wird mit ",[569,1628,1630,1643],{"className":1629},[572],[569,1631,1633],{"className":1632},[576],[578,1634,1635],{"xmlns":580},[582,1636,1637,1641],{},[585,1638,1639],{},[588,1640,944],{},[598,1642,1093],{"encoding":600},[569,1644,1646],{"className":1645,"ariaHidden":606},[605],[569,1647,1649,1652],{"className":1648},[610],[569,1650],{"className":1651,"style":753},[614],[569,1653,944],{"className":1654},[619,620]," multipliziert.",[648,1657,1658],{},"Ein Vielfaches einer Zeile zu einer anderen addieren: Die Determinante bleibt gleich.",[565,1660,1661,1662,1665],{},"Außerdem ist die Determinante einer ",[651,1663,1664],{},"Dreiecksmatrix"," das Produkt der Diagonaleinträge. Zusammen mit den Zeilenumformungen ergibt das ein schnelles Verfahren für große Matrizen: auf Dreiecksform bringen, Vorzeichenwechsel und Faktoren mitzählen.",[560,1667,1669],{"id":1668},"beispiele","Beispiele",[565,1671,1672,1673,1892,1893,2093,2094,1892,2156,2217,2218,2423,2424,788],{},"Für ",[569,1674,1676,1736],{"className":1675},[572],[569,1677,1679],{"className":1678},[576],[578,1680,1681],{"xmlns":580},[582,1682,1683,1733],{},[585,1684,1685,1687,1689],{},[588,1686,679],{},[592,1688,688],{},[585,1690,1691,1693,1731],{},[592,1692,676],{"fence":606},[1694,1695,1699,1716],"mtable",{"rowspacing":1696,"columnalign":1697,"columnspacing":1698},"0.16em","center center","1em",[1700,1701,1702,1710],"mtr",{},[1703,1704,1705],"mtd",{},[1179,1706,1707],{"scriptlevel":1181,"displaystyle":675},[1171,1708,1709],{},"2",[1703,1711,1712],{},[1179,1713,1714],{"scriptlevel":1181,"displaystyle":675},[1171,1715,1173],{},[1700,1717,1718,1724],{},[1703,1719,1720],{},[1179,1721,1722],{"scriptlevel":1181,"displaystyle":675},[1171,1723,1173],{},[1703,1725,1726],{},[1179,1727,1728],{"scriptlevel":1181,"displaystyle":675},[1171,1729,1730],{},"3",[592,1732,685],{"fence":606},[598,1734,1735],{"encoding":600},"A = \\begin{pmatrix} 2 & 1 \\\\ 1 & 3 \\end{pmatrix}",[569,1737,1739,1757],{"className":1738,"ariaHidden":606},[605],[569,1740,1742,1745,1748,1751,1754],{"className":1741},[610],[569,1743],{"className":1744,"style":1138},[614],[569,1746,679],{"className":1747},[619,620],[569,1749],{"className":1750,"style":739},[624],[569,1752,688],{"className":1753},[743],[569,1755],{"className":1756,"style":739},[624],[569,1758,1760,1764],{"className":1759},[610],[569,1761],{"className":1762,"style":1763},[614],"height:2.4em;vertical-align:-0.95em;",[569,1765,1768,1777,1886],{"className":1766},[1767],"minner",[569,1769,1773],{"className":1770,"style":1772},[724,1771],"delimcenter","top:0em;",[569,1774,676],{"className":1775},[1776,885],"delimsizing",[569,1778,1780],{"className":1779},[619],[569,1781,1783,1833,1838,1841],{"className":1782},[1694],[569,1784,1787],{"className":1785},[1786],"col-align-c",[569,1788,1790,1824],{"className":1789},[862,1282],[569,1791,1793,1821],{"className":1792},[866],[569,1794,1797,1809],{"className":1795,"style":1796},[870],"height:1.45em;",[569,1798,1800,1803],{"style":1799},"top:-3.61em;",[569,1801],{"className":1802,"style":1296},[878],[569,1804,1806],{"className":1805},[619],[569,1807,1709],{"className":1808},[619],[569,1810,1812,1815],{"style":1811},"top:-2.41em;",[569,1813],{"className":1814,"style":1296},[878],[569,1816,1818],{"className":1817},[619],[569,1819,1173],{"className":1820},[619],[569,1822,1336],{"className":1823},[1335],[569,1825,1827],{"className":1826},[866],[569,1828,1831],{"className":1829,"style":1830},[870],"height:0.95em;",[569,1832],{},[569,1834],{"className":1835,"style":1837},[1836],"arraycolsep","width:0.5em;",[569,1839],{"className":1840,"style":1837},[1836],[569,1842,1844],{"className":1843},[1786],[569,1845,1847,1878],{"className":1846},[862,1282],[569,1848,1850,1875],{"className":1849},[866],[569,1851,1853,1864],{"className":1852,"style":1796},[870],[569,1854,1855,1858],{"style":1799},[569,1856],{"className":1857,"style":1296},[878],[569,1859,1861],{"className":1860},[619],[569,1862,1173],{"className":1863},[619],[569,1865,1866,1869],{"style":1811},[569,1867],{"className":1868,"style":1296},[878],[569,1870,1872],{"className":1871},[619],[569,1873,1730],{"className":1874},[619],[569,1876,1336],{"className":1877},[1335],[569,1879,1881],{"className":1880},[866],[569,1882,1884],{"className":1883,"style":1830},[870],[569,1885],{},[569,1887,1889],{"className":1888,"style":1772},[735,1771],[569,1890,685],{"className":1891},[1776,885]," und ",[569,1894,1896,1949],{"className":1895},[572],[569,1897,1899],{"className":1898},[576],[578,1900,1901],{"xmlns":580},[582,1902,1903,1946],{},[585,1904,1905,1907,1909],{},[588,1906,682],{},[592,1908,688],{},[585,1910,1911,1913,1944],{},[592,1912,676],{"fence":606},[1694,1914,1915,1930],{"rowspacing":1696,"columnalign":1697,"columnspacing":1698},[1700,1916,1917,1923],{},[1703,1918,1919],{},[1179,1920,1921],{"scriptlevel":1181,"displaystyle":675},[1171,1922,1173],{},[1703,1924,1925],{},[1179,1926,1927],{"scriptlevel":1181,"displaystyle":675},[1171,1928,1929],{},"4",[1700,1931,1932,1938],{},[1703,1933,1934],{},[1179,1935,1936],{"scriptlevel":1181,"displaystyle":675},[1171,1937,1181],{},[1703,1939,1940],{},[1179,1941,1942],{"scriptlevel":1181,"displaystyle":675},[1171,1943,1709],{},[592,1945,685],{"fence":606},[598,1947,1948],{"encoding":600},"B = \\begin{pmatrix} 1 & 4 \\\\ 0 & 2 \\end{pmatrix}",[569,1950,1952,1970],{"className":1951,"ariaHidden":606},[605],[569,1953,1955,1958,1961,1964,1967],{"className":1954},[610],[569,1956],{"className":1957,"style":1138},[614],[569,1959,682],{"className":1960,"style":731},[619,620],[569,1962],{"className":1963,"style":739},[624],[569,1965,688],{"className":1966},[743],[569,1968],{"className":1969,"style":739},[624],[569,1971,1973,1976],{"className":1972},[610],[569,1974],{"className":1975,"style":1763},[614],[569,1977,1979,1985,2087],{"className":1978},[1767],[569,1980,1982],{"className":1981,"style":1772},[724,1771],[569,1983,676],{"className":1984},[1776,885],[569,1986,1988],{"className":1987},[619],[569,1989,1991,2036,2039,2042],{"className":1990},[1694],[569,1992,1994],{"className":1993},[1786],[569,1995,1997,2028],{"className":1996},[862,1282],[569,1998,2000,2025],{"className":1999},[866],[569,2001,2003,2014],{"className":2002,"style":1796},[870],[569,2004,2005,2008],{"style":1799},[569,2006],{"className":2007,"style":1296},[878],[569,2009,2011],{"className":2010},[619],[569,2012,1173],{"className":2013},[619],[569,2015,2016,2019],{"style":1811},[569,2017],{"className":2018,"style":1296},[878],[569,2020,2022],{"className":2021},[619],[569,2023,1181],{"className":2024},[619],[569,2026,1336],{"className":2027},[1335],[569,2029,2031],{"className":2030},[866],[569,2032,2034],{"className":2033,"style":1830},[870],[569,2035],{},[569,2037],{"className":2038,"style":1837},[1836],[569,2040],{"className":2041,"style":1837},[1836],[569,2043,2045],{"className":2044},[1786],[569,2046,2048,2079],{"className":2047},[862,1282],[569,2049,2051,2076],{"className":2050},[866],[569,2052,2054,2065],{"className":2053,"style":1796},[870],[569,2055,2056,2059],{"style":1799},[569,2057],{"className":2058,"style":1296},[878],[569,2060,2062],{"className":2061},[619],[569,2063,1929],{"className":2064},[619],[569,2066,2067,2070],{"style":1811},[569,2068],{"className":2069,"style":1296},[878],[569,2071,2073],{"className":2072},[619],[569,2074,1709],{"className":2075},[619],[569,2077,1336],{"className":2078},[1335],[569,2080,2082],{"className":2081},[866],[569,2083,2085],{"className":2084,"style":1830},[870],[569,2086],{},[569,2088,2090],{"className":2089,"style":1772},[735,1771],[569,2091,685],{"className":2092},[1776,885]," ist ",[569,2095,2097,2120],{"className":2096},[572],[569,2098,2100],{"className":2099},[576],[578,2101,2102],{"xmlns":580},[582,2103,2104,2117],{},[585,2105,2106,2108,2110,2112,2114],{},[588,2107,669],{},[592,2109,672],{},[588,2111,679],{},[592,2113,688],{},[1171,2115,2116],{},"5",[598,2118,2119],{"encoding":600},"\\det A = 5",[569,2121,2123,2147],{"className":2122,"ariaHidden":606},[605],[569,2124,2126,2129,2132,2135,2138,2141,2144],{"className":2125},[610],[569,2127],{"className":2128,"style":753},[614],[569,2130,669],{"className":2131},[720],[569,2133],{"className":2134,"style":760},[624],[569,2136,679],{"className":2137},[619,620],[569,2139],{"className":2140,"style":739},[624],[569,2142,688],{"className":2143},[743],[569,2145],{"className":2146,"style":739},[624],[569,2148,2150,2153],{"className":2149},[610],[569,2151],{"className":2152,"style":1583},[614],[569,2154,2116],{"className":2155},[619],[569,2157,2159,2181],{"className":2158},[572],[569,2160,2162],{"className":2161},[576],[578,2163,2164],{"xmlns":580},[582,2165,2166,2178],{},[585,2167,2168,2170,2172,2174,2176],{},[588,2169,669],{},[592,2171,672],{},[588,2173,682],{},[592,2175,688],{},[1171,2177,1709],{},[598,2179,2180],{"encoding":600},"\\det B = 2",[569,2182,2184,2208],{"className":2183,"ariaHidden":606},[605],[569,2185,2187,2190,2193,2196,2199,2202,2205],{"className":2186},[610],[569,2188],{"className":2189,"style":753},[614],[569,2191,669],{"className":2192},[720],[569,2194],{"className":2195,"style":760},[624],[569,2197,682],{"className":2198,"style":731},[619,620],[569,2200],{"className":2201,"style":739},[624],[569,2203,688],{"className":2204},[743],[569,2206],{"className":2207,"style":739},[624],[569,2209,2211,2214],{"className":2210},[610],[569,2212],{"className":2213,"style":1583},[614],[569,2215,1709],{"className":2216},[619],". Das Produkt ist ",[569,2219,2221,2276],{"className":2220},[572],[569,2222,2224],{"className":2223},[576],[578,2225,2226],{"xmlns":580},[582,2227,2228,2273],{},[585,2229,2230,2232,2234,2236],{},[588,2231,679],{},[588,2233,682],{},[592,2235,688],{},[585,2237,2238,2240,2271],{},[592,2239,676],{"fence":606},[1694,2241,2242,2257],{"rowspacing":1696,"columnalign":1697,"columnspacing":1698},[1700,2243,2244,2250],{},[1703,2245,2246],{},[1179,2247,2248],{"scriptlevel":1181,"displaystyle":675},[1171,2249,1709],{},[1703,2251,2252],{},[1179,2253,2254],{"scriptlevel":1181,"displaystyle":675},[1171,2255,2256],{},"10",[1700,2258,2259,2265],{},[1703,2260,2261],{},[1179,2262,2263],{"scriptlevel":1181,"displaystyle":675},[1171,2264,1173],{},[1703,2266,2267],{},[1179,2268,2269],{"scriptlevel":1181,"displaystyle":675},[1171,2270,2256],{},[592,2272,685],{"fence":606},[598,2274,2275],{"encoding":600},"AB = \\begin{pmatrix} 2 & 10 \\\\ 1 & 10 \\end{pmatrix}",[569,2277,2279,2300],{"className":2278,"ariaHidden":606},[605],[569,2280,2282,2285,2288,2291,2294,2297],{"className":2281},[610],[569,2283],{"className":2284,"style":1138},[614],[569,2286,679],{"className":2287},[619,620],[569,2289,682],{"className":2290,"style":731},[619,620],[569,2292],{"className":2293,"style":739},[624],[569,2295,688],{"className":2296},[743],[569,2298],{"className":2299,"style":739},[624],[569,2301,2303,2306],{"className":2302},[610],[569,2304],{"className":2305,"style":1763},[614],[569,2307,2309,2315,2417],{"className":2308},[1767],[569,2310,2312],{"className":2311,"style":1772},[724,1771],[569,2313,676],{"className":2314},[1776,885],[569,2316,2318],{"className":2317},[619],[569,2319,2321,2366,2369,2372],{"className":2320},[1694],[569,2322,2324],{"className":2323},[1786],[569,2325,2327,2358],{"className":2326},[862,1282],[569,2328,2330,2355],{"className":2329},[866],[569,2331,2333,2344],{"className":2332,"style":1796},[870],[569,2334,2335,2338],{"style":1799},[569,2336],{"className":2337,"style":1296},[878],[569,2339,2341],{"className":2340},[619],[569,2342,1709],{"className":2343},[619],[569,2345,2346,2349],{"style":1811},[569,2347],{"className":2348,"style":1296},[878],[569,2350,2352],{"className":2351},[619],[569,2353,1173],{"className":2354},[619],[569,2356,1336],{"className":2357},[1335],[569,2359,2361],{"className":2360},[866],[569,2362,2364],{"className":2363,"style":1830},[870],[569,2365],{},[569,2367],{"className":2368,"style":1837},[1836],[569,2370],{"className":2371,"style":1837},[1836],[569,2373,2375],{"className":2374},[1786],[569,2376,2378,2409],{"className":2377},[862,1282],[569,2379,2381,2406],{"className":2380},[866],[569,2382,2384,2395],{"className":2383,"style":1796},[870],[569,2385,2386,2389],{"style":1799},[569,2387],{"className":2388,"style":1296},[878],[569,2390,2392],{"className":2391},[619],[569,2393,2256],{"className":2394},[619],[569,2396,2397,2400],{"style":1811},[569,2398],{"className":2399,"style":1296},[878],[569,2401,2403],{"className":2402},[619],[569,2404,2256],{"className":2405},[619],[569,2407,1336],{"className":2408},[1335],[569,2410,2412],{"className":2411},[866],[569,2413,2415],{"className":2414,"style":1830},[870],[569,2416],{},[569,2418,2420],{"className":2419,"style":1772},[735,1771],[569,2421,685],{"className":2422},[1776,885]," mit ",[569,2425,2427,2472],{"className":2426},[572],[569,2428,2430],{"className":2429},[576],[578,2431,2432],{"xmlns":580},[582,2433,2434,2469],{},[585,2435,2436,2438,2440,2442,2444,2446,2448,2450,2453,2455,2457,2459,2461,2463,2465,2467],{},[588,2437,669],{},[592,2439,672],{},[592,2441,676],{"stretchy":675},[588,2443,679],{},[588,2445,682],{},[592,2447,685],{"stretchy":675},[592,2449,688],{},[1171,2451,2452],{},"20",[592,2454,1169],{},[1171,2456,2256],{},[592,2458,688],{},[1171,2460,2256],{},[592,2462,688],{},[1171,2464,2116],{},[592,2466,697],{},[1171,2468,1709],{},[598,2470,2471],{"encoding":600},"\\det(AB) = 20 - 10 = 10 = 5 \\cdot 2",[569,2473,2475,2505,2524,2542,2560,2578],{"className":2474,"ariaHidden":606},[605],[569,2476,2478,2481,2484,2487,2490,2493,2496,2499,2502],{"className":2477},[610],[569,2479],{"className":2480,"style":716},[614],[569,2482,669],{"className":2483},[720],[569,2485,676],{"className":2486},[724],[569,2488,679],{"className":2489},[619,620],[569,2491,682],{"className":2492,"style":731},[619,620],[569,2494,685],{"className":2495},[735],[569,2497],{"className":2498,"style":739},[624],[569,2500,688],{"className":2501},[743],[569,2503],{"className":2504,"style":739},[624],[569,2506,2508,2512,2515,2518,2521],{"className":2507},[610],[569,2509],{"className":2510,"style":2511},[614],"height:0.7278em;vertical-align:-0.0833em;",[569,2513,2452],{"className":2514},[619],[569,2516],{"className":2517,"style":625},[624],[569,2519,1169],{"className":2520},[629],[569,2522],{"className":2523,"style":625},[624],[569,2525,2527,2530,2533,2536,2539],{"className":2526},[610],[569,2528],{"className":2529,"style":1583},[614],[569,2531,2256],{"className":2532},[619],[569,2534],{"className":2535,"style":739},[624],[569,2537,688],{"className":2538},[743],[569,2540],{"className":2541,"style":739},[624],[569,2543,2545,2548,2551,2554,2557],{"className":2544},[610],[569,2546],{"className":2547,"style":1583},[614],[569,2549,2256],{"className":2550},[619],[569,2552],{"className":2553,"style":739},[624],[569,2555,688],{"className":2556},[743],[569,2558],{"className":2559,"style":739},[624],[569,2561,2563,2566,2569,2572,2575],{"className":2562},[610],[569,2564],{"className":2565,"style":1583},[614],[569,2567,2116],{"className":2568},[619],[569,2570],{"className":2571,"style":625},[624],[569,2573,697],{"className":2574},[629],[569,2576],{"className":2577,"style":625},[624],[569,2579,2581,2584],{"className":2580},[610],[569,2582],{"className":2583,"style":1583},[614],[569,2585,1709],{"className":2586},[619],[565,2588,2589,2590,2641,2642,2790,2791,2842,2843,788],{},"Mit ",[569,2591,2593,2611],{"className":2592},[572],[569,2594,2596],{"className":2595},[576],[578,2597,2598],{"xmlns":580},[582,2599,2600,2608],{},[585,2601,2602,2604,2606],{},[588,2603,590],{},[592,2605,688],{},[1171,2607,1709],{},[598,2609,2610],{"encoding":600},"n = 2",[569,2612,2614,2632],{"className":2613,"ariaHidden":606},[605],[569,2615,2617,2620,2623,2626,2629],{"className":2616},[610],[569,2618],{"className":2619,"style":639},[614],[569,2621,590],{"className":2622},[619,620],[569,2624],{"className":2625,"style":739},[624],[569,2627,688],{"className":2628},[743],[569,2630],{"className":2631,"style":739},[624],[569,2633,2635,2638],{"className":2634},[610],[569,2636],{"className":2637,"style":1583},[614],[569,2639,1709],{"className":2640},[619]," gilt ",[569,2643,2645,2686],{"className":2644},[572],[569,2646,2648],{"className":2647},[576],[578,2649,2650],{"xmlns":580},[582,2651,2652,2683],{},[585,2653,2654,2656,2658,2660,2662,2664,2666,2668,2674,2676,2678,2680],{},[588,2655,669],{},[592,2657,672],{},[592,2659,676],{"stretchy":675},[1171,2661,1730],{},[588,2663,679],{},[592,2665,685],{"stretchy":675},[592,2667,688],{},[813,2669,2670,2672],{},[1171,2671,1730],{},[1171,2673,1709],{},[592,2675,697],{},[1171,2677,2116],{},[592,2679,688],{},[1171,2681,2682],{},"45",[598,2684,2685],{"encoding":600},"\\det(3A) = 3^2 \\cdot 5 = 45",[569,2687,2689,2719,2763,2781],{"className":2688,"ariaHidden":606},[605],[569,2690,2692,2695,2698,2701,2704,2707,2710,2713,2716],{"className":2691},[610],[569,2693],{"className":2694,"style":716},[614],[569,2696,669],{"className":2697},[720],[569,2699,676],{"className":2700},[724],[569,2702,1730],{"className":2703},[619],[569,2705,679],{"className":2706},[619,620],[569,2708,685],{"className":2709},[735],[569,2711],{"className":2712,"style":739},[624],[569,2714,688],{"className":2715},[743],[569,2717],{"className":2718,"style":739},[624],[569,2720,2722,2725,2754,2757,2760],{"className":2721},[610],[569,2723],{"className":2724,"style":1232},[614],[569,2726,2728,2731],{"className":2727},[619],[569,2729,1730],{"className":2730},[619],[569,2732,2734],{"className":2733},[858],[569,2735,2737],{"className":2736},[862],[569,2738,2740],{"className":2739},[866],[569,2741,2743],{"className":2742,"style":1232},[870],[569,2744,2745,2748],{"style":874},[569,2746],{"className":2747,"style":879},[878],[569,2749,2751],{"className":2750},[883,884,885,886],[569,2752,1709],{"className":2753},[619,886],[569,2755],{"className":2756,"style":625},[624],[569,2758,697],{"className":2759},[629],[569,2761],{"className":2762,"style":625},[624],[569,2764,2766,2769,2772,2775,2778],{"className":2765},[610],[569,2767],{"className":2768,"style":1583},[614],[569,2770,2116],{"className":2771},[619],[569,2773],{"className":2774,"style":739},[624],[569,2776,688],{"className":2777},[743],[569,2779],{"className":2780,"style":739},[624],[569,2782,2784,2787],{"className":2783},[610],[569,2785],{"className":2786,"style":1583},[614],[569,2788,2682],{"className":2789},[619],", nicht ",[569,2792,2794,2812],{"className":2793},[572],[569,2795,2797],{"className":2796},[576],[578,2798,2799],{"xmlns":580},[582,2800,2801,2809],{},[585,2802,2803,2805,2807],{},[1171,2804,1730],{},[592,2806,697],{},[1171,2808,2116],{},[598,2810,2811],{"encoding":600},"3 \\cdot 5",[569,2813,2815,2833],{"className":2814,"ariaHidden":606},[605],[569,2816,2818,2821,2824,2827,2830],{"className":2817},[610],[569,2819],{"className":2820,"style":1583},[614],[569,2822,1730],{"className":2823},[619],[569,2825],{"className":2826,"style":625},[624],[569,2828,697],{"className":2829},[629],[569,2831],{"className":2832,"style":625},[624],[569,2834,2836,2839],{"className":2835},[610],[569,2837],{"className":2838,"style":1583},[614],[569,2840,2116],{"className":2841},[619],". Außerdem ist ",[569,2844,2846,2884],{"className":2845},[572],[569,2847,2849],{"className":2848},[576],[578,2850,2851],{"xmlns":580},[582,2852,2853,2881],{},[585,2854,2855,2857,2859,2861,2871,2873,2875],{},[588,2856,669],{},[592,2858,672],{},[592,2860,676],{"stretchy":675},[813,2862,2863,2865],{},[588,2864,679],{},[585,2866,2867,2869],{},[592,2868,1169],{},[1171,2870,1173],{},[592,2872,685],{"stretchy":675},[592,2874,688],{},[1183,2876,2877,2879],{},[1171,2878,1173],{},[1171,2880,2116],{},[598,2882,2883],{"encoding":600},"\\det(A^{-1}) = \\frac{1}{5}",[569,2885,2887,2946],{"className":2886,"ariaHidden":606},[605],[569,2888,2890,2893,2896,2899,2934,2937,2940,2943],{"className":2889},[610],[569,2891],{"className":2892,"style":1207},[614],[569,2894,669],{"className":2895},[720],[569,2897,676],{"className":2898},[724],[569,2900,2902,2905],{"className":2901},[619],[569,2903,679],{"className":2904},[619,620],[569,2906,2908],{"className":2907},[858],[569,2909,2911],{"className":2910},[862],[569,2912,2914],{"className":2913},[866],[569,2915,2917],{"className":2916,"style":1232},[870],[569,2918,2919,2922],{"style":874},[569,2920],{"className":2921,"style":879},[878],[569,2923,2925],{"className":2924},[883,884,885,886],[569,2926,2928,2931],{"className":2927},[619,886],[569,2929,1169],{"className":2930},[619,886],[569,2932,1173],{"className":2933},[619,886],[569,2935,685],{"className":2936},[735],[569,2938],{"className":2939,"style":739},[624],[569,2941,688],{"className":2942},[743],[569,2944],{"className":2945,"style":739},[624],[569,2947,2949,2953],{"className":2948},[610],[569,2950],{"className":2951,"style":2952},[614],"height:1.1901em;vertical-align:-0.345em;",[569,2954,2956,2959,3022],{"className":2955},[619],[569,2957],{"className":2958},[724,1275],[569,2960,2962],{"className":2961},[1183],[569,2963,2965,3013],{"className":2964},[862,1282],[569,2966,2968,3010],{"className":2967},[866],[569,2969,2972,2987,2995],{"className":2970,"style":2971},[870],"height:0.8451em;",[569,2973,2975,2978],{"style":2974},"top:-2.655em;",[569,2976],{"className":2977,"style":1296},[878],[569,2979,2981],{"className":2980},[883,884,885,886],[569,2982,2984],{"className":2983},[619,886],[569,2985,2116],{"className":2986},[619,886],[569,2988,2989,2992],{"style":1311},[569,2990],{"className":2991,"style":1296},[878],[569,2993],{"className":2994,"style":1319},[1318],[569,2996,2998,3001],{"style":2997},"top:-3.394em;",[569,2999],{"className":3000,"style":1296},[878],[569,3002,3004],{"className":3003},[883,884,885,886],[569,3005,3007],{"className":3006},[619,886],[569,3008,1173],{"className":3009},[619,886],[569,3011,1336],{"className":3012},[1335],[569,3014,3016],{"className":3015},[866],[569,3017,3020],{"className":3018,"style":3019},[870],"height:0.345em;",[569,3021],{},[569,3023],{"className":3024},[735,1275],[560,3026,3028],{"id":3027},"typische-fehler","Typische Fehler",[645,3030,3031,3154,3787,3790],{},[648,3032,3033,3124,3125,3153],{},[569,3034,3036,3070],{"className":3035},[572],[569,3037,3039],{"className":3038},[576],[578,3040,3041],{"xmlns":580},[582,3042,3043,3067],{},[585,3044,3045,3047,3049,3051,3053,3055,3057,3059,3061,3063,3065],{},[588,3046,669],{},[592,3048,672],{},[592,3050,676],{"stretchy":675},[588,3052,944],{},[588,3054,679],{},[592,3056,685],{"stretchy":675},[592,3058,688],{},[588,3060,944],{},[588,3062,669],{},[592,3064,672],{},[588,3066,679],{},[598,3068,3069],{"encoding":600},"\\det(\\lambda A) = \\lambda \\det A",[569,3071,3073,3103],{"className":3072,"ariaHidden":606},[605],[569,3074,3076,3079,3082,3085,3088,3091,3094,3097,3100],{"className":3075},[610],[569,3077],{"className":3078,"style":716},[614],[569,3080,669],{"className":3081},[720],[569,3083,676],{"className":3084},[724],[569,3086,944],{"className":3087},[619,620],[569,3089,679],{"className":3090},[619,620],[569,3092,685],{"className":3093},[735],[569,3095],{"className":3096,"style":739},[624],[569,3098,688],{"className":3099},[743],[569,3101],{"className":3102,"style":739},[624],[569,3104,3106,3109,3112,3115,3118,3121],{"className":3105},[610],[569,3107],{"className":3108,"style":753},[614],[569,3110,944],{"className":3111},[619,620],[569,3113],{"className":3114,"style":760},[624],[569,3116,669],{"className":3117},[720],[569,3119],{"className":3120,"style":760},[624],[569,3122,679],{"className":3123},[619,620]," rechnen. Der Faktor geht mit der Potenz ",[569,3126,3128,3141],{"className":3127},[572],[569,3129,3131],{"className":3130},[576],[578,3132,3133],{"xmlns":580},[582,3134,3135,3139],{},[585,3136,3137],{},[588,3138,590],{},[598,3140,590],{"encoding":600},[569,3142,3144],{"className":3143,"ariaHidden":606},[605],[569,3145,3147,3150],{"className":3146},[610],[569,3148],{"className":3149,"style":639},[614],[569,3151,590],{"className":3152},[619,620]," ein.",[648,3155,3156,3290,3291,2423,3513,3691,3692,3786],{},[569,3157,3159,3202],{"className":3158},[572],[569,3160,3162],{"className":3161},[576],[578,3163,3164],{"xmlns":580},[582,3165,3166,3199],{},[585,3167,3168,3170,3172,3174,3176,3179,3181,3183,3185,3187,3189,3191,3193,3195,3197],{},[588,3169,669],{},[592,3171,672],{},[592,3173,676],{"stretchy":675},[588,3175,679],{},[592,3177,3178],{},"+",[588,3180,682],{},[592,3182,685],{"stretchy":675},[592,3184,688],{},[588,3186,669],{},[592,3188,672],{},[588,3190,679],{},[592,3192,3178],{},[588,3194,669],{},[592,3196,672],{},[588,3198,682],{},[598,3200,3201],{"encoding":600},"\\det(A + B) = \\det A + \\det B",[569,3203,3205,3229,3250,3275],{"className":3204,"ariaHidden":606},[605],[569,3206,3208,3211,3214,3217,3220,3223,3226],{"className":3207},[610],[569,3209],{"className":3210,"style":716},[614],[569,3212,669],{"className":3213},[720],[569,3215,676],{"className":3216},[724],[569,3218,679],{"className":3219},[619,620],[569,3221],{"className":3222,"style":625},[624],[569,3224,3178],{"className":3225},[629],[569,3227],{"className":3228,"style":625},[624],[569,3230,3232,3235,3238,3241,3244,3247],{"className":3231},[610],[569,3233],{"className":3234,"style":716},[614],[569,3236,682],{"className":3237,"style":731},[619,620],[569,3239,685],{"className":3240},[735],[569,3242],{"className":3243,"style":739},[624],[569,3245,688],{"className":3246},[743],[569,3248],{"className":3249,"style":739},[624],[569,3251,3253,3257,3260,3263,3266,3269,3272],{"className":3252},[610],[569,3254],{"className":3255,"style":3256},[614],"height:0.7778em;vertical-align:-0.0833em;",[569,3258,669],{"className":3259},[720],[569,3261],{"className":3262,"style":760},[624],[569,3264,679],{"className":3265},[619,620],[569,3267],{"className":3268,"style":625},[624],[569,3270,3178],{"className":3271},[629],[569,3273],{"className":3274,"style":625},[624],[569,3276,3278,3281,3284,3287],{"className":3277},[610],[569,3279],{"className":3280,"style":753},[614],[569,3282,669],{"className":3283},[720],[569,3285],{"className":3286,"style":760},[624],[569,3288,682],{"className":3289,"style":731},[619,620]," annehmen. Im Beispiel ist ",[569,3292,3294,3350],{"className":3293},[572],[569,3295,3297],{"className":3296},[576],[578,3298,3299],{"xmlns":580},[582,3300,3301,3347],{},[585,3302,3303,3305,3307,3309,3311],{},[588,3304,679],{},[592,3306,3178],{},[588,3308,682],{},[592,3310,688],{},[585,3312,3313,3315,3345],{},[592,3314,676],{"fence":606},[1694,3316,3317,3331],{"rowspacing":1696,"columnalign":1697,"columnspacing":1698},[1700,3318,3319,3325],{},[1703,3320,3321],{},[1179,3322,3323],{"scriptlevel":1181,"displaystyle":675},[1171,3324,1730],{},[1703,3326,3327],{},[1179,3328,3329],{"scriptlevel":1181,"displaystyle":675},[1171,3330,2116],{},[1700,3332,3333,3339],{},[1703,3334,3335],{},[1179,3336,3337],{"scriptlevel":1181,"displaystyle":675},[1171,3338,1173],{},[1703,3340,3341],{},[1179,3342,3343],{"scriptlevel":1181,"displaystyle":675},[1171,3344,2116],{},[592,3346,685],{"fence":606},[598,3348,3349],{"encoding":600},"A + B = \\begin{pmatrix} 3 & 5 \\\\ 1 & 5 \\end{pmatrix}",[569,3351,3353,3372,3390],{"className":3352,"ariaHidden":606},[605],[569,3354,3356,3360,3363,3366,3369],{"className":3355},[610],[569,3357],{"className":3358,"style":3359},[614],"height:0.7667em;vertical-align:-0.0833em;",[569,3361,679],{"className":3362},[619,620],[569,3364],{"className":3365,"style":625},[624],[569,3367,3178],{"className":3368},[629],[569,3370],{"className":3371,"style":625},[624],[569,3373,3375,3378,3381,3384,3387],{"className":3374},[610],[569,3376],{"className":3377,"style":1138},[614],[569,3379,682],{"className":3380,"style":731},[619,620],[569,3382],{"className":3383,"style":739},[624],[569,3385,688],{"className":3386},[743],[569,3388],{"className":3389,"style":739},[624],[569,3391,3393,3396],{"className":3392},[610],[569,3394],{"className":3395,"style":1763},[614],[569,3397,3399,3405,3507],{"className":3398},[1767],[569,3400,3402],{"className":3401,"style":1772},[724,1771],[569,3403,676],{"className":3404},[1776,885],[569,3406,3408],{"className":3407},[619],[569,3409,3411,3456,3459,3462],{"className":3410},[1694],[569,3412,3414],{"className":3413},[1786],[569,3415,3417,3448],{"className":3416},[862,1282],[569,3418,3420,3445],{"className":3419},[866],[569,3421,3423,3434],{"className":3422,"style":1796},[870],[569,3424,3425,3428],{"style":1799},[569,3426],{"className":3427,"style":1296},[878],[569,3429,3431],{"className":3430},[619],[569,3432,1730],{"className":3433},[619],[569,3435,3436,3439],{"style":1811},[569,3437],{"className":3438,"style":1296},[878],[569,3440,3442],{"className":3441},[619],[569,3443,1173],{"className":3444},[619],[569,3446,1336],{"className":3447},[1335],[569,3449,3451],{"className":3450},[866],[569,3452,3454],{"className":3453,"style":1830},[870],[569,3455],{},[569,3457],{"className":3458,"style":1837},[1836],[569,3460],{"className":3461,"style":1837},[1836],[569,3463,3465],{"className":3464},[1786],[569,3466,3468,3499],{"className":3467},[862,1282],[569,3469,3471,3496],{"className":3470},[866],[569,3472,3474,3485],{"className":3473,"style":1796},[870],[569,3475,3476,3479],{"style":1799},[569,3477],{"className":3478,"style":1296},[878],[569,3480,3482],{"className":3481},[619],[569,3483,2116],{"className":3484},[619],[569,3486,3487,3490],{"style":1811},[569,3488],{"className":3489,"style":1296},[878],[569,3491,3493],{"className":3492},[619],[569,3494,2116],{"className":3495},[619],[569,3497,1336],{"className":3498},[1335],[569,3500,3502],{"className":3501},[866],[569,3503,3505],{"className":3504,"style":1830},[870],[569,3506],{},[569,3508,3510],{"className":3509,"style":1772},[735,1771],[569,3511,685],{"className":3512},[1776,885],[569,3514,3516,3562],{"className":3515},[572],[569,3517,3519],{"className":3518},[576],[578,3520,3521],{"xmlns":580},[582,3522,3523,3559],{},[585,3524,3525,3527,3529,3531,3533,3535,3537,3539,3541,3543,3545,3547,3549,3551,3553,3555,3557],{},[588,3526,669],{},[592,3528,672],{},[592,3530,676],{"stretchy":675},[588,3532,679],{},[592,3534,3178],{},[588,3536,682],{},[592,3538,685],{"stretchy":675},[592,3540,688],{},[1171,3542,1730],{},[592,3544,697],{},[1171,3546,2116],{},[592,3548,1169],{},[1171,3550,2116],{},[592,3552,697],{},[1171,3554,1173],{},[592,3556,688],{},[1171,3558,2256],{},[598,3560,3561],{"encoding":600},"\\det(A + B) = 3 \\cdot 5 - 5 \\cdot 1 = 10",[569,3563,3565,3589,3610,3628,3646,3664,3682],{"className":3564,"ariaHidden":606},[605],[569,3566,3568,3571,3574,3577,3580,3583,3586],{"className":3567},[610],[569,3569],{"className":3570,"style":716},[614],[569,3572,669],{"className":3573},[720],[569,3575,676],{"className":3576},[724],[569,3578,679],{"className":3579},[619,620],[569,3581],{"className":3582,"style":625},[624],[569,3584,3178],{"className":3585},[629],[569,3587],{"className":3588,"style":625},[624],[569,3590,3592,3595,3598,3601,3604,3607],{"className":3591},[610],[569,3593],{"className":3594,"style":716},[614],[569,3596,682],{"className":3597,"style":731},[619,620],[569,3599,685],{"className":3600},[735],[569,3602],{"className":3603,"style":739},[624],[569,3605,688],{"className":3606},[743],[569,3608],{"className":3609,"style":739},[624],[569,3611,3613,3616,3619,3622,3625],{"className":3612},[610],[569,3614],{"className":3615,"style":1583},[614],[569,3617,1730],{"className":3618},[619],[569,3620],{"className":3621,"style":625},[624],[569,3623,697],{"className":3624},[629],[569,3626],{"className":3627,"style":625},[624],[569,3629,3631,3634,3637,3640,3643],{"className":3630},[610],[569,3632],{"className":3633,"style":2511},[614],[569,3635,2116],{"className":3636},[619],[569,3638],{"className":3639,"style":625},[624],[569,3641,1169],{"className":3642},[629],[569,3644],{"className":3645,"style":625},[624],[569,3647,3649,3652,3655,3658,3661],{"className":3648},[610],[569,3650],{"className":3651,"style":1583},[614],[569,3653,2116],{"className":3654},[619],[569,3656],{"className":3657,"style":625},[624],[569,3659,697],{"className":3660},[629],[569,3662],{"className":3663,"style":625},[624],[569,3665,3667,3670,3673,3676,3679],{"className":3666},[610],[569,3668],{"className":3669,"style":1583},[614],[569,3671,1173],{"className":3672},[619],[569,3674],{"className":3675,"style":739},[624],[569,3677,688],{"className":3678},[743],[569,3680],{"className":3681,"style":739},[624],[569,3683,3685,3688],{"className":3684},[610],[569,3686],{"className":3687,"style":1583},[614],[569,3689,2256],{"className":3690},[619],", aber ",[569,3693,3695,3726],{"className":3694},[572],[569,3696,3698],{"className":3697},[576],[578,3699,3700],{"xmlns":580},[582,3701,3702,3723],{},[585,3703,3704,3706,3708,3710,3712,3714,3716,3718,3720],{},[588,3705,669],{},[592,3707,672],{},[588,3709,679],{},[592,3711,3178],{},[588,3713,669],{},[592,3715,672],{},[588,3717,682],{},[592,3719,688],{},[1171,3721,3722],{},"7",[598,3724,3725],{"encoding":600},"\\det A + \\det B = 7",[569,3727,3729,3753,3777],{"className":3728,"ariaHidden":606},[605],[569,3730,3732,3735,3738,3741,3744,3747,3750],{"className":3731},[610],[569,3733],{"className":3734,"style":3256},[614],[569,3736,669],{"className":3737},[720],[569,3739],{"className":3740,"style":760},[624],[569,3742,679],{"className":3743},[619,620],[569,3745],{"className":3746,"style":625},[624],[569,3748,3178],{"className":3749},[629],[569,3751],{"className":3752,"style":625},[624],[569,3754,3756,3759,3762,3765,3768,3771,3774],{"className":3755},[610],[569,3757],{"className":3758,"style":753},[614],[569,3760,669],{"className":3761},[720],[569,3763],{"className":3764,"style":760},[624],[569,3766,682],{"className":3767,"style":731},[619,620],[569,3769],{"className":3770,"style":739},[624],[569,3772,688],{"className":3773},[743],[569,3775],{"className":3776,"style":739},[624],[569,3778,3780,3783],{"className":3779},[610],[569,3781],{"className":3782,"style":1583},[614],[569,3784,3722],{"className":3785},[619],". Eine Summenregel gibt es nicht.",[648,3788,3789],{},"Beim Zeilentausch das Vorzeichen vergessen.",[648,3791,3792,3793,3821,3822,1655],{},"Beim Multiplizieren einer Zeile mit ",[569,3794,3796,3809],{"className":3795},[572],[569,3797,3799],{"className":3798},[576],[578,3800,3801],{"xmlns":580},[582,3802,3803,3807],{},[585,3804,3805],{},[588,3806,944],{},[598,3808,1093],{"encoding":600},[569,3810,3812],{"className":3811,"ariaHidden":606},[605],[569,3813,3815,3818],{"className":3814},[610],[569,3816],{"className":3817,"style":753},[614],[569,3819,944],{"className":3820},[619,620]," annehmen, die Determinante bleibe gleich. Sie wird mit ",[569,3823,3825,3838],{"className":3824},[572],[569,3826,3828],{"className":3827},[576],[578,3829,3830],{"xmlns":580},[582,3831,3832,3836],{},[585,3833,3834],{},[588,3835,944],{},[598,3837,1093],{"encoding":600},[569,3839,3841],{"className":3840,"ariaHidden":606},[605],[569,3842,3844,3847],{"className":3843},[610],[569,3845],{"className":3846,"style":753},[614],[569,3848,944],{"className":3849},[619,620],{"title":3851,"searchDepth":3852,"depth":3852,"links":3853},"",2,[3854,3855,3856],{"id":562,"depth":3852,"text":563},{"id":1668,"depth":3852,"text":1669},{"id":3027,"depth":3852,"text":3028},[3858,3861,3864,3867,3870,3873,3875,3877,3879,3882,3884,3887,3889,3891],{"lhs":3859,"rhs":3860},"det(multiply([[a, b], [c, d]], [[p, q], [r, s]]))","det([[a, b], [c, d]]) * det([[p, q], [r, s]])",{"lhs":3862,"rhs":3863},"det(transpose([[a, b, c], [d, f, g], [h, k, l]]))","det([[a, b, c], [d, f, g], [h, k, l]])",{"lhs":3865,"rhs":3866},"det(t * [[a, b, c], [d, f, g], [h, k, l]])","t^3 * det([[a, b, c], [d, f, g], [h, k, l]])",{"lhs":3868,"rhs":3869},"det([[c, d], [a, b]])","-det([[a, b], [c, d]])",{"lhs":3871,"rhs":3872},"det([[a, b], [c + t*a, d + t*b]])","det([[a, b], [c, d]])",{"lhs":3874,"rhs":2116},"2*3 - 1*1",{"lhs":3876,"rhs":1709},"1*2 - 4*0",{"lhs":3878,"rhs":2256},"det([[2, 10], [1, 10]])",{"lhs":3880,"rhs":3881},"det(multiply([[2, 1], [1, 3]], [[1, 4], [0, 2]]))","5 * 2",{"lhs":3883,"rhs":2682},"det(3 * [[2, 1], [1, 3]])",{"lhs":3885,"rhs":3886},"det(inv([[2, 1], [1, 3]]))","1\u002F5",{"lhs":3888,"rhs":2256},"det([[2, 1], [1, 3]] + [[1, 4], [0, 2]])",{"lhs":3890,"rhs":2256},"3*5 - 5*1",{"lhs":3892,"rhs":3722},"5 + 2","A, B \\in \\mathbb{R}^{n \\times n},\\ \\lambda \\in \\mathbb{R}","\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>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\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:0.9658em;vertical-align:-0.1944em;\">\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>\u003Cspan class=\"mpunct\">,\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>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\lambda \\in \\mathbb{R}\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:0.7335em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\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:0.6889em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","determinant-rules","\\det(AB) = \\det A \\cdot \\det B, \\qquad \\det(A^{T}) = \\det A, \\qquad \\det(\\lambda A) = \\lambda^{n} \\det A","\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>\u003Cmi>det\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>det\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>det\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmi>det\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>T\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>det\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmi>det\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>λ\u003C\u002Fmi>\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmsup>\u003Cmi>λ\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmi>det\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\det(AB) = \\det A \\cdot \\det B, \\qquad \\det(A^{T}) = \\det A, \\qquad \\det(\\lambda A) = \\lambda^{n} \\det A\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">det\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\">)\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:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">det\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.1413em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">det\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=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:2em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">det\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\">)\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">det\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\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=\"mop\">det\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\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:0.7144em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7144em;\">\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\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">det\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Frechenregeln-determinanten",[],[3906,3907,3908,3909],"determinant-2x2","determinant-3x3","laplace-expansion","inverse-rules",{"title":548,"description":3851},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Frechenregeln-determinanten","Die Determinante ist multiplikativ, ändert sich beim Transponieren nicht und skaliert bei λA mit λ hoch n.",[3914,3915,3916,3917],"determinante","matrix","produktsatz","zeilenumformung",[3919,3923,3927,3930],{"symbol":3920,"meaning":3921,"symbolHtml":3922},"A, B","quadratische Matrizen derselben Größe n × n","\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":3924,"meaning":3925,"symbolHtml":3926},"A^{T}","transponierte Matrix 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 class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8413em;\">\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\" style=\"margin-right:0.1389em;\">T\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":1093,"meaning":3928,"symbolHtml":3929},"reelle Zahl (Skalar)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>λ\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation 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>",{"symbol":590,"meaning":3931,"symbolHtml":3932},"Zeilen- und Spaltenzahl der Matrizen","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","sYOkHO4cZ_PP_v8AMazWEO_jKdRxm0hO7A_kQ3bT-bY",[3935,3938,3941,3944],{"stem":3936,"title":3937,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Fdeterminante-2x2","Determinante einer 2×2-Matrix",{"stem":3939,"title":3940,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Fdeterminante-3x3","Determinante einer 3×3-Matrix (Regel von Sarrus)",{"stem":3942,"title":3943,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Flaplace-entwicklung","Laplace-Entwicklung",{"stem":3945,"title":3946,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Frechenregeln-inverse","Rechenregeln für die Inverse",1793824279637]