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v]_B.",[569,1257,1259,1364,1445],{"className":1258,"ariaHidden":630},[629],[569,1260,1262,1266,1269,1272,1275,1310,1313,1355,1358,1361],{"className":1261},[634],[569,1263],{"className":1264,"style":1265},[638],"height:1em;vertical-align:-0.25em;",[569,1267,1196],{"className":1268},[857],[569,1270,590],{"className":1271,"style":645},[643,644],[569,1273,764],{"className":1274},[857],[569,1276,1278],{"className":1277},[643,961],[569,1279,1281],{"className":1280},[797],[569,1282,1284],{"className":1283},[802],[569,1285,1287,1295],{"className":1286,"style":1133},[806],[569,1288,1289,1292],{"style":974},[569,1290],{"className":1291,"style":978},[814],[569,1293,1100],{"className":1294,"style":1142},[643,644],[569,1296,1297,1300],{"style":974},[569,1298],{"className":1299,"style":978},[814],[569,1301,1303],{"className":1302,"style":1151},[991],[569,1304,1306],{"className":1305,"style":997},[996],[999,1307,1308],{"xmlns":1001,"width":1002,"height":1003,"style":1004,"viewBox":1005,"preserveAspectRatio":1006},[1008,1309],{"d":1010},[569,1311,769],{"className":1312},[864],[569,1314,1316,1319],{"className":1315},[864],[569,1317,1213],{"className":1318},[864],[569,1320,1322],{"className":1321},[793],[569,1323,1325,1346],{"className":1324},[797,798],[569,1326,1328,1343],{"className":1327},[802],[569,1329,1332],{"className":1330,"style":1331},[806],"height:0.3283em;",[569,1333,1334,1337],{"style":1026},[569,1335],{"className":1336,"style":815},[814],[569,1338,1340],{"className":1339},[819,820,821,822],[569,1341,757],{"className":1342,"style":826},[643,644,822],[569,1344,844],{"className":1345},[843],[569,1347,1349],{"className":1348},[802],[569,1350,1353],{"className":1351,"style":1352},[806],"height:0.15em;",[569,1354],{},[569,1356],{"className":1357,"style":684},[592],[569,1359,1218],{"className":1360},[672],[569,1362],{"className":1363,"style":684},[592],[569,1365,1367,1371,1426,1429,1432,1435,1438,1442],{"className":1366},[634],[569,1368],{"className":1369,"style":1370},[638],"height:1.1413em;vertical-align:-0.25em;",[569,1372,1374,1377],{"className":1373},[643],[569,1375,754],{"className":1376,"style":789},[643,644],[569,1378,1380],{"className":1379},[793],[569,1381,1383,1417],{"className":1382},[797,798],[569,1384,1386,1414],{"className":1385},[802],[569,1387,1390,1402],{"className":1388,"style":1389},[806],"height:0.8913em;",[569,1391,1393,1396],{"style":1392},"top:-2.453em;margin-left:-0.109em;margin-right:0.05em;",[569,1394],{"className":1395,"style":815},[814],[569,1397,1399],{"className":1398},[819,820,821,822],[569,1400,757],{"className":1401,"style":826},[643,644,822],[569,1403,1405,1408],{"style":1404},"top:-3.113em;margin-right:0.05em;",[569,1406],{"className":1407,"style":815},[814],[569,1409,1411],{"className":1410},[819,820,821,822],[569,1412,760],{"className":1413,"style":839},[643,644,822],[569,1415,844],{"className":1416},[843],[569,1418,1420],{"className":1419},[802],[569,1421,1424],{"className":1422,"style":1423},[806],"height:0.247em;",[569,1425],{},[569,1427,764],{"className":1428},[857],[569,1430,590],{"className":1431,"style":645},[643,644],[569,1433,769],{"className":1434},[864],[569,1436],{"className":1437,"style":680},[592],[569,1439,1235],{"className":1440},[1441],"mbin",[569,1443],{"className":1444,"style":680},[592],[569,1446,1448,1451,1454,1489,1529],{"className":1447},[634],[569,1449],{"className":1450,"style":1265},[638],[569,1452,1196],{"className":1453},[857],[569,1455,1457],{"className":1456},[643,961],[569,1458,1460],{"className":1459},[797],[569,1461,1463],{"className":1462},[802],[569,1464,1466,1474],{"className":1465,"style":1133},[806],[569,1467,1468,1471],{"style":974},[569,1469],{"className":1470,"style":978},[814],[569,1472,1100],{"className":1473,"style":1142},[643,644],[569,1475,1476,1479],{"style":974},[569,1477],{"className":1478,"style":978},[814],[569,1480,1482],{"className":1481,"style":1151},[991],[569,1483,1485],{"className":1484,"style":997},[996],[999,1486,1487],{"xmlns":1001,"width":1002,"height":1003,"style":1004,"viewBox":1005,"preserveAspectRatio":1006},[1008,1488],{"d":1010},[569,1490,1492,1495],{"className":1491},[864],[569,1493,1213],{"className":1494},[864],[569,1496,1498],{"className":1497},[793],[569,1499,1501,1521],{"className":1500},[797,798],[569,1502,1504,1518],{"className":1503},[802],[569,1505,1507],{"className":1506,"style":1331},[806],[569,1508,1509,1512],{"style":1026},[569,1510],{"className":1511,"style":815},[814],[569,1513,1515],{"className":1514},[819,820,821,822],[569,1516,760],{"className":1517,"style":839},[643,644,822],[569,1519,844],{"className":1520},[843],[569,1522,1524],{"className":1523},[802],[569,1525,1527],{"className":1526,"style":1352},[806],[569,1528],{},[569,1530,1080],{"className":1531},[643],[565,1533,1534,1535,1563,1564,1594,1595,1623,1624,1653,1654,1741,1742,1823,1824,1852,1853,1080],{},"Die Matrix hat so viele Spalten, wie ",[569,1536,1538,1551],{"className":1537},[572],[569,1539,1541],{"className":1540},[576],[578,1542,1543],{"xmlns":580},[582,1544,1545,1549],{},[585,1546,1547],{},[588,1548,614],{},[622,1550,614],{"encoding":624},[569,1552,1554],{"className":1553,"ariaHidden":630},[629],[569,1555,1557,1560],{"className":1556},[634],[569,1558],{"className":1559,"style":697},[638],[569,1561,614],{"className":1562,"style":680},[643,644]," Dimensionen hat (",[569,1565,1567,1581],{"className":1566},[572],[569,1568,1570],{"className":1569},[576],[578,1571,1572],{"xmlns":580},[582,1573,1574,1579],{},[585,1575,1576],{},[588,1577,1578],{},"n",[622,1580,1578],{"encoding":624},[569,1582,1584],{"className":1583,"ariaHidden":630},[629],[569,1585,1587,1591],{"className":1586},[634],[569,1588],{"className":1589,"style":1590},[638],"height:0.4306em;",[569,1592,1578],{"className":1593},[643,644],"), und so viele Zeilen wie ",[569,1596,1598,1611],{"className":1597},[572],[569,1599,1601],{"className":1600},[576],[578,1602,1603],{"xmlns":580},[582,1604,1605,1609],{},[585,1606,1607],{},[588,1608,620],{},[622,1610,620],{"encoding":624},[569,1612,1614],{"className":1613,"ariaHidden":630},[629],[569,1615,1617,1620],{"className":1616},[634],[569,1618],{"className":1619,"style":697},[638],[569,1621,620],{"className":1622,"style":701},[643,644]," (",[569,1625,1627,1641],{"className":1626},[572],[569,1628,1630],{"className":1629},[576],[578,1631,1632],{"xmlns":580},[582,1633,1634,1639],{},[585,1635,1636],{},[588,1637,1638],{},"m",[622,1640,1638],{"encoding":624},[569,1642,1644],{"className":1643,"ariaHidden":630},[629],[569,1645,1647,1650],{"className":1646},[634],[569,1648],{"className":1649,"style":1590},[638],[569,1651,1638],{"className":1652},[643,644],"). Im häufigsten Fall ",[569,1655,1657,1682],{"className":1656},[572],[569,1658,1660],{"className":1659},[576],[578,1661,1662],{"xmlns":580},[582,1663,1664,1679],{},[585,1665,1666,1668,1670],{},[588,1667,614],{},[598,1669,1218],{},[1671,1672,1673,1677],"msup",{},[588,1674,1676],{"mathvariant":1675},"double-struck","R",[588,1678,1578],{},[622,1680,1681],{"encoding":624},"V = 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",[569,1825,1827,1840],{"className":1826},[572],[569,1828,1830],{"className":1829},[576],[578,1831,1832],{"xmlns":580},[582,1833,1834,1838],{},[585,1835,1836],{},[588,1837,886],{},[622,1839,886],{"encoding":624},[569,1841,1843],{"className":1842,"ariaHidden":630},[629],[569,1844,1846,1849],{"className":1845},[634],[569,1847],{"className":1848,"style":898},[638],[569,1850,886],{"className":1851,"style":902},[643,644],"-te Spalte einfach ",[569,1854,1856,1885],{"className":1855},[572],[569,1857,1859],{"className":1858},[576],[578,1860,1861],{"xmlns":580},[582,1862,1863,1882],{},[585,1864,1865,1867,1869,1880],{},[588,1866,590],{},[598,1868,764],{"stretchy":763},[921,1870,1871,1878],{},[924,1872,1873,1876],{"accent":630},[588,1874,1875],{},"e",[598,1877,931],{},[588,1879,886],{},[598,1881,769],{"stretchy":763},[622,1883,1884],{"encoding":624},"f(\\vec 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Zusammenhänge:",[1981,1982,1983,2127,2133],"ul",{},[1984,1985,1986,1989,1990,2044,2045,2126],"li",{},[733,1987,1988],{},"Verkettung:"," Der Hintereinanderausführung ",[569,1991,1993,2013],{"className":1992},[572],[569,1994,1996],{"className":1995},[576],[578,1997,1998],{"xmlns":580},[582,1999,2000,2010],{},[585,2001,2002,2005,2008],{},[588,2003,2004],{},"g",[598,2006,2007],{},"∘",[588,2009,590],{},[622,2011,2012],{"encoding":624},"g \\circ 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\\cdot (4,\\ -1) = (7,\\ 7,\\ -1) = f(4, -1)",[569,3342,3344,3371,3410,3461],{"className":3343,"ariaHidden":630},[629],[569,3345,3347,3350,3353,3356,3359,3362,3365,3368],{"className":3346},[634],[569,3348],{"className":3349,"style":1265},[638],[569,3351,754],{"className":3352,"style":789},[643,644],[569,3354,764],{"className":3355},[857],[569,3357,590],{"className":3358,"style":645},[643,644],[569,3360,769],{"className":3361},[864],[569,3363],{"className":3364,"style":680},[592],[569,3366,1235],{"className":3367},[1441],[569,3369],{"className":3370,"style":680},[592],[569,3372,3374,3377,3380,3383,3386,3389,3392,3395,3398,3401,3404,3407],{"className":3373},[634],[569,3375],{"className":3376,"style":1265},[638],[569,3378,764],{"className":3379},[857],[569,3381,3288],{"className":3382},[643],[569,3384,2348],{"className":3385},[657],[569,3387,2371],{"className":3388},[592],[569,3390],{"className":3391,"style":665},[592],[569,3393,2376],{"className":3394},[643],[569,3396,2540],{"className":3397},[643],[569,3399,769],{"className":3400},[864],[569,3402],{"className":3403,"style":684},[592],[569,3405,1218],{"className":3406},[672],[569,3408],{"className":3409,"style":684},[592],[569,3411,3413,3416,3419,3422,3425,3428,3431,3434,3437,3440,3443,3446,3449,3452,3455,3458],{"className":3412},[634],[569,3414],{"className":3415,"style":1265},[638],[569,3417,764],{"className":3418},[857],[569,3420,3305],{"className":3421},[643],[569,3423,2348],{"className":3424},[657],[569,3426,2371],{"className":3427},[592],[569,3429],{"className":3430,"style":665},[592],[569,3432,3305],{"className":3433},[643],[569,3435,2348],{"className":3436},[657],[569,3438,2371],{"className":3439},[592],[569,3441],{"className":3442,"style":665},[592],[569,3444,2376],{"className":3445},[643],[569,3447,2540],{"className":3448},[643],[569,3450,769],{"className":3451},[864],[569,3453],{"className":3454,"style":684},[592],[569,3456,1218],{"className":3457},[672],[569,3459],{"className":3460,"style":684},[592],[569,3462,3464,3467,3470,3473,3476,3479,3482,3485,3488],{"className":3463},[634],[569,3465],{"className":3466,"style":1265},[638],[569,3468,590],{"className":3469,"style":645},[643,644],[569,3471,764],{"className":3472},[857],[569,3474,3288],{"className":3475},[643],[569,3477,2348],{"className":3478},[657],[569,3480],{"className":3481,"style":665},[592],[569,3483,2376],{"className":3484},[643],[569,3486,2540],{"className":3487},[643],[569,3489,769],{"className":3490},[864],[565,3492,3493,3494,3598,3599,3628,3629,3735,3736,1741,3802,1741,3868,3969,3970,1741,4045,1741,4120,4195],{},"Die Ableitung ",[569,3495,3497,3527],{"className":3496},[572],[569,3498,3500],{"className":3499},[576],[578,3501,3502],{"xmlns":580},[582,3503,3504,3524],{},[585,3505,3506,3509,3511,3513,3515,3517],{},[588,3507,3508],{},"D",[598,3510,764],{"stretchy":763},[588,3512,565],{},[598,3514,769],{"stretchy":763},[598,3516,1218],{},[1671,3518,3519,3521],{},[588,3520,565],{},[598,3522,3523],{"mathvariant":1252,"lspace":600,"rspace":600},"′",[622,3525,3526],{"encoding":624},"D(p) = 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auf den Polynomen vom Grad höchstens ",[569,3600,3602,3615],{"className":3601},[572],[569,3603,3605],{"className":3604},[576],[578,3606,3607],{"xmlns":580},[582,3608,3609,3613],{},[585,3610,3611],{},[2201,3612,2203],{},[622,3614,2203],{"encoding":624},[569,3616,3618],{"className":3617,"ariaHidden":630},[629],[569,3619,3621,3625],{"className":3620},[634],[569,3622],{"className":3623,"style":3624},[638],"height:0.6444em;",[569,3626,2203],{"className":3627},[643]," mit der Basis ",[569,3630,3632,3666],{"className":3631},[572],[569,3633,3635],{"className":3634},[576],[578,3636,3637],{"xmlns":580},[582,3638,3639,3663],{},[585,3640,3641,3643,3645,3647,3649,3651,3653,3655,3661],{},[598,3642,764],{"stretchy":763},[2201,3644,2540],{},[598,3646,2348],{"separator":630},[603,3648,2371],{},[588,3650,2345],{},[598,3652,2348],{"separator":630},[603,3654,2371],{},[1671,3656,3657,3659],{},[588,3658,2345],{},[2201,3660,2203],{},[598,3662,769],{"stretchy":763},[622,3664,3665],{"encoding":624},"(1,\\ x,\\ 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= 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ihre Matrix ist ",[569,5276,5278,5324],{"className":5277},[572],[569,5279,5281],{"className":5280},[576],[578,5282,5283],{"xmlns":580},[582,5284,5285,5321],{},[585,5286,5287,5289,5319],{},[598,5288,764],{"fence":630},[2932,5290,5291,5305],{"rowspacing":2934,"columnalign":2935,"columnspacing":2936},[2938,5292,5293,5299],{},[2941,5294,5295],{},[2944,5296,5297],{"scriptlevel":2561,"displaystyle":763},[2201,5298,2561],{},[2941,5300,5301],{},[2944,5302,5303],{"scriptlevel":2561,"displaystyle":763},[2201,5304,2540],{},[2938,5306,5307,5313],{},[2941,5308,5309],{},[2944,5310,5311],{"scriptlevel":2561,"displaystyle":763},[2201,5312,2540],{},[2941,5314,5315],{},[2944,5316,5317],{"scriptlevel":2561,"displaystyle":763},[2201,5318,2561],{},[598,5320,769],{"fence":630},[622,5322,5323],{"encoding":624},"\\begin{pmatrix} 0 & 1 \\\\ 1 & 0 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Fehler",[1981,5462,5463,5470,5701],{},[1984,5464,5465,5466,5469],{},"Die Bilder der Basisvektoren als ",[733,5467,5468],{},"Zeilen"," statt als Spalten eintragen. Dann entsteht die Transponierte.",[1984,5471,5472,5473,5550,5551,5671,5672,5700],{},"Bei einer Basis ",[569,5474,5476,5493],{"className":5475},[572],[569,5477,5479],{"className":5478},[576],[578,5480,5481],{"xmlns":580},[582,5482,5483,5490],{},[585,5484,5485,5487],{},[588,5486,757],{},[598,5488,5489],{"mathvariant":1252},"≠",[622,5491,5492],{"encoding":624},"C 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",[569,5552,5554,5581],{"className":5553},[572],[569,5555,5557],{"className":5556},[576],[578,5558,5559],{"xmlns":580},[582,5560,5561,5579],{},[585,5562,5563,5565,5567,5577],{},[588,5564,590],{},[598,5566,764],{"stretchy":763},[921,5568,5569,5575],{},[924,5570,5571,5573],{"accent":630},[588,5572,928],{},[598,5574,931],{},[588,5576,886],{},[598,5578,769],{"stretchy":763},[622,5580,938],{"encoding":624},[569,5582,5584],{"className":5583,"ariaHidden":630},[629],[569,5585,5587,5590,5593,5596,5668],{"className":5586},[634],[569,5588],{"className":5589,"style":948},[638],[569,5591,590],{"className":5592,"style":645},[643,644],[569,5594,764],{"className":5595},[857],[569,5597,5599,5634],{"className":5598},[643],[569,5600,5602],{"className":5601},[643,961],[569,5603,5605],{"className":5604},[797],[569,5606,5608],{"className":5607},[802],[569,5609,5611,5619],{"className":5610,"style":971},[806],[569,5612,5613,5616],{"style":974},[569,5614],{"className":5615,"style":978},[814],[569,5617,928],{"className":5618},[643,644],[569,5620,5621,5624],{"style":984},[569,5622],{"className":5623,"style":978},[814],[569,5625,5627],{"className":5626,"style":992},[991],[569,5628,5630],{"className":5629,"style":997},[996],[999,5631,5632],{"xmlns":1001,"width":1002,"height":1003,"style":1004,"viewBox":1005,"preserveAspectRatio":1006},[1008,5633],{"d":1010},[569,5635,5637],{"className":5636},[793],[569,5638,5640,5660],{"className":5639},[797,798],[569,5641,5643,5657],{"className":5642},[802],[569,5644,5646],{"className":5645,"style":1023},[806],[569,5647,5648,5651],{"style":1026},[569,5649],{"className":5650,"style":815},[814],[569,5652,5654],{"className":5653},[819,820,821,822],[569,5655,886],{"className":5656,"style":902},[643,644,822],[569,5658,844],{"className":5659},[843],[569,5661,5663],{"className":5662},[802],[569,5664,5666],{"className":5665,"style":1045},[806],[569,5667],{},[569,5669,769],{"className":5670},[864]," direkt eintragen, statt vorher ihre Koordinaten bezüglich ",[569,5673,5675,5688],{"className":5674},[572],[569,5676,5678],{"className":5677},[576],[578,5679,5680],{"xmlns":580},[582,5681,5682,5686],{},[585,5683,5684],{},[588,5685,757],{},[622,5687,757],{"encoding":624},[569,5689,5691],{"className":5690,"ariaHidden":630},[629],[569,5692,5694,5697],{"className":5693},[634],[569,5695],{"className":5696,"style":697},[638],[569,5698,757],{"className":5699,"style":826},[643,644]," zu bestimmen.",[1984,5702,5703,5704,5754,5755,5836],{},"Bei der Verkettung 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M(g)",[569,5789,5791,5818],{"className":5790,"ariaHidden":630},[629],[569,5792,5794,5797,5800,5803,5806,5809,5812,5815],{"className":5793},[634],[569,5795],{"className":5796,"style":1265},[638],[569,5798,754],{"className":5799,"style":789},[643,644],[569,5801,764],{"className":5802},[857],[569,5804,590],{"className":5805,"style":645},[643,644],[569,5807,769],{"className":5808},[864],[569,5810],{"className":5811,"style":680},[592],[569,5813,1235],{"className":5814},[1441],[569,5816],{"className":5817,"style":680},[592],[569,5819,5821,5824,5827,5830,5833],{"className":5820},[634],[569,5822],{"className":5823,"style":1265},[638],[569,5825,754],{"className":5826,"style":789},[643,644],[569,5828,764],{"className":5829},[857],[569,5831,2004],{"className":5832,"style":1142},[643,644],[569,5834,769],{"className":5835},[864]," bilden. Die zuerst ausgeführte Abbildung steht rechts.",{"title":5838,"searchDepth":5839,"depth":5839,"links":5840},"",2,[5841,5842,5843],{"id":562,"depth":5839,"text":563},{"id":2166,"depth":5839,"text":2167},{"id":5459,"depth":5839,"text":5460},[5845,5848,5851,5853,5855,5857,5860,5862,5864,5866,5868],{"lhs":5846,"rhs":5847},"multiply([[2, 1], [1, -3], [0, 1]], [x, y])[1]","2*x + y",{"lhs":5849,"rhs":5850},"multiply([[2, 1], [1, -3], [0, 1]], [x, y])[2]","x - 3*y",{"lhs":5852,"rhs":2351},"multiply([[2, 1], [1, -3], [0, 1]], [x, y])[3]",{"lhs":5854,"rhs":3305},"multiply([[2, 1], [1, -3], [0, 1]], [4, -1])[1]",{"lhs":5856,"rhs":3305},"multiply([[2, 1], [1, -3], [0, 1]], [4, -1])[2]",{"lhs":5858,"rhs":5859},"multiply([[2, 1], [1, -3], [0, 1]], [4, -1])[3]","-1",{"lhs":5861,"rhs":4625},"multiply([[0, 1, 0], [0, 0, 2], [0, 0, 0]], [3, 5, 4])[1]",{"lhs":5863,"rhs":4840},"multiply([[0, 1, 0], [0, 0, 2], [0, 0, 0]], [3, 5, 4])[2]",{"lhs":5865,"rhs":2561},"multiply([[0, 1, 0], [0, 0, 2], [0, 0, 0]], 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style=\"width:0.471em\" viewBox=\"0 0 471 714\" preserveAspectRatio=\"xMinYMin\">\u003Cpath d=\"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" 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class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.714em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">c\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.1799em;\">\u003Cspan class=\"katex-overlay\" style=\"height:0.714em;width:0.471em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"0.471em\" height=\"0.714em\" style=\"width:0.471em\" viewBox=\"0 0 471 714\" preserveAspectRatio=\"xMinYMin\">\u003Cpath d=\"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">m\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:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">Basis von\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>W\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">W\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">W\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","linear-map-matrix","f(\\vec b_j) = \\sum_{i=1}^{m} a_{ij}\\, \\vec c_i \\quad (j = 1, \\ldots, n), \\qquad M_C^B(f) = (a_{ij})","\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>f\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmover accent=\"true\">\u003Cmi>b\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmi>j\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>m\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmi>j\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmtext> \u003C\u002Fmtext>\u003Cmsub>\u003Cmover accent=\"true\">\u003Cmi>c\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmspace width=\"1em\"\u002F>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>j\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmsubsup>\u003Cmi>M\u003C\u002Fmi>\u003Cmi>C\u003C\u002Fmi>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmsubsup>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>f\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmi>j\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f(\\vec b_j) = \\sum_{i=1}^{m} a_{ij}\\, \\vec c_i \\quad (j = 1, \\ldots, n), \\qquad M_C^B(f) 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style=\"height:0.714em;width:0.471em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"0.471em\" height=\"0.714em\" style=\"width:0.471em\" viewBox=\"0 0 471 714\" preserveAspectRatio=\"xMinYMin\">\u003Cpath d=\"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j\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:0.2861em;\">\u003Cspan>\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:2.9291em;vertical-align:-1.2777em;\">\u003C\u002Fspan>\u003Cspan class=\"mop op-limits\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.6514em;\">\u003Cspan style=\"top:-1.8723em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003Cspan class=\"mrel mtight\">=\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.05em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan>\u003Cspan class=\"mop op-symbol large-op\">∑\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-4.3em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">m\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:1.2777em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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:0.0572em;\">ij\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:0.2861em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.714em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">c\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.1799em;\">\u003Cspan class=\"katex-overlay\" style=\"height:0.714em;width:0.471em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"0.471em\" height=\"0.714em\" style=\"width:0.471em\" viewBox=\"0 0 471 714\" preserveAspectRatio=\"xMinYMin\">\u003Cpath d=\"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\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:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:1em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0572em;\">j\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\">1\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\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=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">M\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8913em;\">\u003Cspan style=\"top:-2.453em;margin-left:-0.109em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0715em;\">C\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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 mathnormal mtight\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" 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