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AC",[578,1156,1158,1182,1203,1225],{"className":1157,"ariaHidden":616},[615],[578,1159,1161,1164,1167,1170,1173,1176,1179],{"className":1160},[620],[578,1162],{"className":1163,"style":1065},[624],[578,1165,811],{"className":1166},[629,630],[578,1168,1030],{"className":1169},[1069],[578,1171,874],{"className":1172,"style":889},[629,630],[578,1174],{"className":1175,"style":635},[634],[578,1177,1135],{"className":1178},[639],[578,1180],{"className":1181,"style":635},[634],[578,1183,1185,1188,1191,1194,1197,1200],{"className":1184},[620],[578,1186],{"className":1187,"style":1065},[624],[578,1189,1040],{"className":1190,"style":1083},[629,630],[578,1192,1037],{"className":1193},[1079],[578,1195],{"className":1196,"style":950},[634],[578,1198,995],{"className":1199},[954],[578,1201],{"className":1202,"style":950},[634],[578,1204,1206,1210,1213,1216,1219,1222],{"className":1205},[620],[578,1207],{"className":1208,"style":1209},[624],"height:0.7667em;vertical-align:-0.0833em;",[578,1211,811],{"className":1212},[629,630],[578,1214,874],{"className":1215,"style":889},[629,630],[578,1217],{"className":1218,"style":635},[634],[578,1220,1135],{"className":1221},[639],[578,1223],{"className":1224,"style":635},[634],[578,1226,1228,1231,1234],{"className":1227},[620],[578,1229],{"className":1230,"style":823},[624],[578,1232,811],{"className":1233},[629,630],[578,1235,1040],{"className":1236,"style":1083},[629,630],".",[898,1239,1240,1274,1275,1303,1304,1237],{},[578,1241,1243,1259],{"className":1242},[581],[578,1244,1246],{"className":1245},[585],[587,1247,1248],{"xmlns":589},[591,1249,1250,1256],{},[594,1251,1252,1254],{},[597,1253,811],{},[597,1255,874],{},[608,1257,1258],{"encoding":610},"AB",[578,1260,1262],{"className":1261,"ariaHidden":616},[615],[578,1263,1265,1268,1271],{"className":1264},[620],[578,1266],{"className":1267,"style":823},[624],[578,1269,811],{"className":1270},[629,630],[578,1272,874],{"className":1273,"style":889},[629,630]," entspricht der Hintereinanderausführung der linearen Abbildungen: erst ",[578,1276,1278,1291],{"className":1277},[581],[578,1279,1281],{"className":1280},[585],[587,1282,1283],{"xmlns":589},[591,1284,1285,1289],{},[594,1286,1287],{},[597,1288,874],{},[608,1290,874],{"encoding":610},[578,1292,1294],{"className":1293,"ariaHidden":616},[615],[578,1295,1297,1300],{"className":1296},[620],[578,1298],{"className":1299,"style":823},[624],[578,1301,874],{"className":1302,"style":889},[629,630],", dann ",[578,1305,1307,1320],{"className":1306},[581],[578,1308,1310],{"className":1309},[585],[587,1311,1312],{"xmlns":589},[591,1313,1314,1318],{},[594,1315,1316],{},[597,1317,811],{},[608,1319,811],{"encoding":610},[578,1321,1323],{"className":1322,"ariaHidden":616},[615],[578,1324,1326,1329],{"className":1325},[620],[578,1327],{"className":1328,"style":823},[624],[578,1330,811],{"className":1331},[629,630],[898,1333,1334,1455],{},[578,1335,1337,1380],{"className":1336},[581],[578,1338,1340],{"className":1339},[585],[587,1341,1342],{"xmlns":589},[591,1343,1344,1377],{},[594,1345,1346,1349,1352,1354,1356,1358,1360,1362,1364,1366,1368,1371,1373,1375],{},[597,1347,1348],{},"det",[601,1350,1351],{},"⁡",[601,1353,1030],{"stretchy":1029},[597,1355,811],{},[597,1357,874],{},[601,1359,1037],{"stretchy":1029},[601,1361,995],{},[597,1363,1348],{},[601,1365,1351],{},[597,1367,811],{},[601,1369,1370],{},"⋅",[597,1372,1348],{},[601,1374,1351],{},[597,1376,874],{},[608,1378,1379],{"encoding":610},"\\det(AB) = \\det A \\cdot \\det B",[578,1381,1383,1414,1440],{"className":1382,"ariaHidden":616},[615],[578,1384,1386,1389,1393,1396,1399,1402,1405,1408,1411],{"className":1385},[620],[578,1387],{"className":1388,"style":1065},[624],[578,1390,1348],{"className":1391},[1392],"mop",[578,1394,1030],{"className":1395},[1069],[578,1397,811],{"className":1398},[629,630],[578,1400,874],{"className":1401,"style":889},[629,630],[578,1403,1037],{"className":1404},[1079],[578,1406],{"className":1407,"style":950},[634],[578,1409,995],{"className":1410},[954],[578,1412],{"className":1413,"style":950},[634],[578,1415,1417,1421,1424,1428,1431,1434,1437],{"className":1416},[620],[578,1418],{"className":1419,"style":1420},[624],"height:0.6944em;",[578,1422,1348],{"className":1423},[1392],[578,1425],{"className":1426,"style":1427},[634],"margin-right:0.1667em;",[578,1429,811],{"className":1430},[629,630],[578,1432],{"className":1433,"style":635},[634],[578,1435,1370],{"className":1436},[639],[578,1438],{"className":1439,"style":635},[634],[578,1441,1443,1446,1449,1452],{"className":1442},[620],[578,1444],{"className":1445,"style":1420},[624],[578,1447,1348],{"className":1448},[1392],[578,1450],{"className":1451,"style":1427},[634],[578,1453,874],{"className":1454,"style":889},[629,630]," für quadratische Matrizen.",[565,1457,1458,1459,1462,1463,1517,1518,1237],{},"Ein Spezialfall ist ",[569,1460,1461],{},"Matrix mal Vektor"," (",[578,1464,1466,1486],{"className":1465},[581],[578,1467,1469],{"className":1468},[585],[587,1470,1471],{"xmlns":589},[591,1472,1473,1483],{},[594,1474,1475,1477,1479],{},[597,1476,565],{},[601,1478,995],{},[1480,1481,1482],"mn",{},"1",[608,1484,1485],{"encoding":610},"p = 1",[578,1487,1489,1507],{"className":1488,"ariaHidden":616},[615],[578,1490,1492,1495,1498,1501,1504],{"className":1491},[620],[578,1493],{"className":1494,"style":702},[624],[578,1496,565],{"className":1497},[629,630],[578,1499],{"className":1500,"style":950},[634],[578,1502,995],{"className":1503},[954],[578,1505],{"className":1506,"style":950},[634],[578,1508,1510,1514],{"className":1509},[620],[578,1511],{"className":1512,"style":1513},[624],"height:0.6444em;",[578,1515,1482],{"className":1516},[629],"). So schreibt man lineare Gleichungssysteme kompakt als ",[578,1519,1521,1553],{"className":1520},[581],[578,1522,1524],{"className":1523},[585],[587,1525,1526],{"xmlns":589},[591,1527,1528,1550],{},[594,1529,1530,1532,1541,1543],{},[597,1531,811],{},[1533,1534,1535,1538],"mover",{"accent":616},[597,1536,1537],{},"x",[601,1539,1540],{},"⃗",[601,1542,995],{},[1533,1544,1545,1548],{"accent":616},[597,1546,1547],{},"b",[601,1549,1540],{},[608,1551,1552],{"encoding":610},"A\\vec{x} = \\vec{b}",[578,1554,1556,1630],{"className":1555,"ariaHidden":616},[615],[578,1557,1559,1563,1566,1621,1624,1627],{"className":1558},[620],[578,1560],{"className":1561,"style":1562},[624],"height:0.714em;",[578,1564,811],{"className":1565},[629,630],[578,1567,1570],{"className":1568},[629,1569],"accent",[578,1571,1574],{"className":1572},[1573],"vlist-t",[578,1575,1578],{"className":1576},[1577],"vlist-r",[578,1579,1582,1593],{"className":1580,"style":1562},[1581],"vlist",[578,1583,1585,1590],{"style":1584},"top:-3em;",[578,1586],{"className":1587,"style":1589},[1588],"pstrut","height:3em;",[578,1591,1537],{"className":1592},[629,630],[578,1594,1595,1598],{"style":1584},[578,1596],{"className":1597,"style":1589},[1588],[578,1599,1603],{"className":1600,"style":1602},[1601],"accent-body","left:-0.2077em;",[578,1604,1608],{"className":1605,"style":1607},[1606],"overlay","height:0.714em;width:0.471em;",[1609,1610,1617],"svg",{"xmlns":1611,"width":1612,"height":1613,"style":1614,"viewBox":1615,"preserveAspectRatio":1616},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","0.471em","0.714em","width:0.471em","0 0 471 714","xMinYMin",[1618,1619],"path",{"d":1620},"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",[578,1622],{"className":1623,"style":950},[634],[578,1625,995],{"className":1626},[954],[578,1628],{"className":1629,"style":950},[634],[578,1631,1633,1637],{"className":1632},[620],[578,1634],{"className":1635,"style":1636},[624],"height:0.9774em;",[578,1638,1640],{"className":1639},[629,1569],[578,1641,1643],{"className":1642},[1573],[578,1644,1646],{"className":1645},[1577],[578,1647,1649,1657],{"className":1648,"style":1636},[1581],[578,1650,1651,1654],{"style":1584},[578,1652],{"className":1653,"style":1589},[1588],[578,1655,1547],{"className":1656},[629,630],[578,1658,1660,1663],{"style":1659},"top:-3.2634em;",[578,1661],{"className":1662,"style":1589},[1588],[578,1664,1667],{"className":1665,"style":1666},[1601],"left:-0.2355em;",[578,1668,1670],{"className":1669,"style":1607},[1606],[1609,1671,1672],{"xmlns":1611,"width":1612,"height":1613,"style":1614,"viewBox":1615,"preserveAspectRatio":1616},[1618,1673],{"d":1620},[560,1675,1677],{"id":1676},"beispiele","Beispiele",[578,1679,1682],{"className":1680},[1681],"katex-display",[578,1683,1685,1941],{"className":1684},[581],[578,1686,1688],{"className":1687},[585],[587,1689,1691],{"xmlns":589,"display":1690},"block",[591,1692,1693,1938],{},[594,1694,1695,1742,1784,1786,1890,1892],{},[594,1696,1697,1699,1740],{},[601,1698,1030],{"fence":616},[1700,1701,1705,1724],"mtable",{"rowspacing":1702,"columnalign":1703,"columnspacing":1704},"0.16em","center 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1 & 2 \\\\ 3 & 4 \\end{pmatrix} \\begin{pmatrix} 0 & 1 \\\\ 5 & -2 \\end{pmatrix}\n= \\begin{pmatrix} 1 \\cdot 0 + 2 \\cdot 5 & 1 \\cdot 1 + 2 \\cdot (-2) \\\\ 3 \\cdot 0 + 4 \\cdot 5 & 3 \\cdot 1 + 4 \\cdot (-2) \\end{pmatrix}\n= \\begin{pmatrix} 10 & -3 \\\\ 20 & -5 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Reihenfolge:",[578,2642,2644],{"className":2643},[1681],[578,2645,2647,2777],{"className":2646},[581],[578,2648,2650],{"className":2649},[585],[587,2651,2652],{"xmlns":589,"display":1690},[591,2653,2654,2774],{},[594,2655,2656,2696,2732,2734],{},[594,2657,2658,2660,2694],{},[601,2659,1030],{"fence":616},[1700,2661,2662,2676],{"rowspacing":1702,"columnalign":1703,"columnspacing":1704},[1706,2663,2664,2670],{},[1709,2665,2666],{},[1712,2667,2668],{"scriptlevel":1714,"displaystyle":1029},[1480,2669,1714],{},[1709,2671,2672],{},[1712,2673,2674],{"scriptlevel":1714,"displaystyle":1029},[1480,2675,1482],{},[1706,2677,2678,2684],{},[1709,2679,2680],{},[1712,2681,2682],{"scriptlevel":1714,"displaystyle":1029},[1480,2683,1770],{},[1709,2685,2686],{},[1712,2687,2688],{"scriptlevel":1714,"displaystyle":1029},[594,2689,2690,2692],{},[601,2691,1779],{},[1480,2693,1723],{},[601,2695,1037],{"fence":616},[594,2697,2698,2700,2730],{},[601,2699,1030],{"fence":616},[1700,2701,2702,2716],{"rowspacing":1702,"columnalign":1703,"columnspacing":1704},[1706,2703,2704,2710],{},[1709,2705,2706],{},[1712,2707,2708],{"scriptlevel":1714,"displaystyle":1029},[1480,2709,1482],{},[1709,2711,2712],{},[1712,2713,2714],{"scriptlevel":1714,"displaystyle":1029},[1480,2715,1723],{},[1706,2717,2718,2724],{},[1709,2719,2720],{},[1712,2721,2722],{"scriptlevel":1714,"displaystyle":1029},[1480,2723,1732],{},[1709,2725,2726],{},[1712,2727,2728],{"scriptlevel":1714,"displaystyle":1029},[1480,2729,1739],{},[601,2731,1037],{"fence":616},[601,2733,995],{},[594,2735,2736,2738,2772],{},[601,2737,1030],{"fence":616},[1700,2739,2740,2754],{"rowspacing":1702,"columnalign":1703,"columnspacing":1704},[1706,2741,2742,2748],{},[1709,2743,2744],{},[1712,2745,2746],{"scriptlevel":1714,"displaystyle":1029},[1480,2747,1732],{},[1709,2749,2750],{},[1712,2751,2752],{"scriptlevel":1714,"displaystyle":1029},[1480,2753,1739],{},[1706,2755,2756,2766],{},[1709,2757,2758],{},[1712,2759,2760],{"scriptlevel":1714,"displaystyle":1029},[594,2761,2762,2764],{},[601,2763,1779],{},[1480,2765,1482],{},[1709,2767,2768],{},[1712,2769,2770],{"scriptlevel":1714,"displaystyle":1029},[1480,2771,1723],{},[601,2773,1037],{"fence":616},[608,2775,2776],{"encoding":610},"\\begin{pmatrix} 0 & 1 \\\\ 5 & -2 \\end{pmatrix} \\begin{pmatrix} 1 & 2 \\\\ 3 & 4 \\end{pmatrix}\n= \\begin{pmatrix} 3 & 4 \\\\ -1 & 2 \\end{pmatrix}",[578,2778,2780,3035],{"className":2779,"ariaHidden":616},[615],[578,2781,2783,2786,2906,2909,3026,3029,3032],{"className":2782},[620],[578,2784],{"className":2785,"style":1950},[624],[578,2787,2789,2795,2900],{"className":2788},[1954],[578,2790,2792],{"className":2791,"style":1959},[1069,1958],[578,2793,1030],{"className":2794},[1963,1964],[578,2796,2798],{"className":2797},[629],[578,2799,2801,2846,2849,2852],{"className":2800},[1700],[578,2802,2804],{"className":2803},[1974],[578,2805,2807,2838],{"className":2806},[1573,1978],[578,2808,2810,2835],{"className":2809},[1577],[578,2811,2813,2824],{"className":2812,"style":1985},[1581],[578,2814,2815,2818],{"style":1988},[578,2816],{"className":2817,"style":1589},[1588],[578,2819,2821],{"className":2820},[629],[578,2822,1714],{"className":2823},[629],[578,2825,2826,2829],{"style":2000},[578,2827],{"className":2828,"style":1589},[1588],[578,2830,2832],{"className":2831},[629],[578,2833,1770],{"className":2834},[629],[578,2836,2014],{"className":2837},[2013],[578,2839,2841],{"className":2840},[1577],[578,2842,2844],{"className":2843,"style":2021},[1581],[578,2845],{},[578,2847],{"className":2848,"style":2028},[2027],[578,2850],{"className":2851,"style":2028},[2027],[578,2853,2855],{"className":2854},[1974],[578,2856,2858,2892],{"className":2857},[1573,1978],[578,2859,2861,2889],{"className":2860},[1577],[578,2862,2864,2875],{"className":2863,"style":1985},[1581],[578,2865,2866,2869],{"style":1988},[578,2867],{"className":2868,"style":1589},[1588],[578,2870,2872],{"className":2871},[629],[578,2873,1482],{"className":2874},[629],[578,2876,2877,2880],{"style":2000},[578,2878],{"className":2879,"style":1589},[1588],[578,2881,2883,2886],{"className":2882},[629],[578,2884,1779],{"className":2885},[629],[578,2887,1723],{"className":2888},[629],[578,2890,2014],{"className":2891},[2013],[578,2893,2895],{"className":2894},[1577],[578,2896,2898],{"className":2897,"style":2021},[1581],[578,2899],{},[578,2901,2903],{"className":2902,"style":1959},[1079,1958],[578,2904,1037],{"className":2905},[1963,1964],[578,2907],{"className":2908,"style":1427},[634],[578,2910,2912,2918,3020],{"className":2911},[1954],[578,2913,2915],{"className":2914,"style":1959},[1069,1958],[578,2916,1030],{"className":2917},[1963,1964],[578,2919,2921],{"className":2920},[629],[578,2922,2924,2969,2972,2975],{"className":2923},[1700],[578,2925,2927],{"className":2926},[1974],[578,2928,2930,2961],{"className":2929},[1573,1978],[578,2931,2933,2958],{"className":2932},[1577],[578,2934,2936,2947],{"className":2935,"style":1985},[1581],[578,2937,2938,2941],{"style":1988},[578,2939],{"className":2940,"style":1589},[1588],[578,2942,2944],{"className":2943},[629],[578,2945,1482],{"className":2946},[629],[578,2948,2949,2952],{"style":2000},[578,2950],{"className":2951,"style":1589},[1588],[578,2953,2955],{"className":2954},[629],[578,2956,1732],{"className":2957},[629],[578,2959,2014],{"className":2960},[2013],[578,2962,2964],{"className":2963},[1577],[578,2965,2967],{"className":2966,"style":2021},[1581],[578,2968],{},[578,2970],{"className":2971,"style":2028},[2027],[578,2973],{"className":2974,"style":2028},[2027],[578,2976,2978],{"className":2977},[1974],[578,2979,2981,3012],{"className":2980},[1573,1978],[578,2982,2984,3009],{"className":2983},[1577],[578,2985,2987,2998],{"className":2986,"style":1985},[1581],[578,2988,2989,2992],{"style":1988},[578,2990],{"className":2991,"style":1589},[1588],[578,2993,2995],{"className":2994},[629],[578,2996,1723],{"className":2997},[629],[578,2999,3000,3003],{"style":2000},[578,3001],{"className":3002,"style":1589},[1588],[578,3004,3006],{"className":3005},[629],[578,3007,1739],{"className":3008},[629],[578,3010,2014],{"className":3011},[2013],[578,3013,3015],{"className":3014},[1577],[578,3016,3018],{"className":3017,"style":2021},[1581],[578,3019],{},[578,3021,3023],{"className":3022,"style":1959},[1079,1958],[578,3024,1037],{"className":3025},[1963,1964],[578,3027],{"className":3028,"style":950},[634],[578,3030,995],{"className":3031},[954],[578,3033],{"className":3034,"style":950},[634],[578,3036,3038,3041],{"className":3037},[620],[578,3039],{"className":3040,"style":1950},[624],[578,3042,3044,3050,3155],{"className":3043},[1954],[578,3045,3047],{"className":3046,"style":1959},[1069,1958],[578,3048,1030],{"className":3049},[1963,1964],[578,3051,3053],{"className":3052},[629],[578,3054,3056,3104,3107,3110],{"className":3055},[1700],[578,3057,3059],{"className":3058},[1974],[578,3060,3062,3096],{"className":3061},[1573,1978],[578,3063,3065,3093],{"className":3064},[1577],[578,3066,3068,3079],{"className":3067,"style":1985},[1581],[578,3069,3070,3073],{"style":1988},[578,3071],{"className":3072,"style":1589},[1588],[578,3074,3076],{"className":3075},[629],[578,3077,1732],{"className":3078},[629],[578,3080,3081,3084],{"style":2000},[578,3082],{"className":3083,"style":1589},[1588],[578,3085,3087,3090],{"className":3086},[629],[578,3088,1779],{"className":3089},[629],[578,3091,1482],{"className":3092},[629],[578,3094,2014],{"className":3095},[2013],[578,3097,3099],{"className":3098},[1577],[578,3100,3102],{"className":3101,"style":2021},[1581],[578,3103],{},[578,3105],{"className":3106,"style":2028},[2027],[578,3108],{"className":3109,"style":2028},[2027],[578,3111,3113],{"className":3112},[1974],[578,3114,3116,3147],{"className":3115},[1573,1978],[578,3117,3119,3144],{"className":3118},[1577],[578,3120,3122,3133],{"className":3121,"style":1985},[1581],[578,3123,3124,3127],{"style":1988},[578,3125],{"className":3126,"style":1589},[1588],[578,3128,3130],{"className":3129},[629],[578,3131,1739],{"className":3132},[629],[578,3134,3135,3138],{"style":2000},[578,3136],{"className":3137,"style":1589},[1588],[578,3139,3141],{"className":3140},[629],[578,3142,1723],{"className":3143},[629],[578,3145,2014],{"className":3146},[2013],[578,3148,3150],{"className":3149},[1577],[578,3151,3153],{"className":3152,"style":2021},[1581],[578,3154],{},[578,3156,3158],{"className":3157,"style":1959},[1079,1958],[578,3159,1037],{"className":3160},[1963,1964],[565,3162,3163,3164,3355,3356,1237],{},"Die beiden Produkte sind verschieden. Der Determinantensatz gilt trotzdem: ",[578,3165,3167,3223],{"className":3166},[581],[578,3168,3170],{"className":3169},[585],[587,3171,3172],{"xmlns":589},[591,3173,3174,3220],{},[594,3175,3176,3178,3180,3182,3184,3186,3188,3190,3192,3194,3196,3198,3200,3202,3204,3206,3208,3210,3212,3214,3216,3218],{},[597,3177,1348],{},[601,3179,1351],{},[601,3181,1030],{"stretchy":1029},[597,3183,811],{},[597,3185,874],{},[601,3187,1037],{"stretchy":1029},[601,3189,995],{},[1480,3191,1906],{},[601,3193,1370],{},[601,3195,1030],{"stretchy":1029},[601,3197,1779],{},[1480,3199,1770],{},[601,3201,1037],{"stretchy":1029},[601,3203,1779],{},[601,3205,1030],{"stretchy":1029},[601,3207,1779],{},[1480,3209,1732],{},[601,3211,1037],{"stretchy":1029},[601,3213,1370],{},[1480,3215,1925],{},[601,3217,995],{},[1480,3219,1906],{},[608,3221,3222],{"encoding":610},"\\det(AB) = 10 \\cdot (-5) - (-3) \\cdot 20 = 10",[578,3224,3226,3256,3274,3301,3328,3346],{"className":3225,"ariaHidden":616},[615],[578,3227,3229,3232,3235,3238,3241,3244,3247,3250,3253],{"className":3228},[620],[578,3230],{"className":3231,"style":1065},[624],[578,3233,1348],{"className":3234},[1392],[578,3236,1030],{"className":3237},[1069],[578,3239,811],{"className":3240},[629,630],[578,3242,874],{"className":3243,"style":889},[629,630],[578,3245,1037],{"className":3246},[1079],[578,3248],{"className":3249,"style":950},[634],[578,3251,995],{"className":3252},[954],[578,3254],{"className":3255,"style":950},[634],[578,3257,3259,3262,3265,3268,3271],{"className":3258},[620],[578,3260],{"className":3261,"style":1513},[624],[578,3263,1906],{"className":3264},[629],[578,3266],{"className":3267,"style":635},[634],[578,3269,1370],{"className":3270},[639],[578,3272],{"className":3273,"style":635},[634],[578,3275,3277,3280,3283,3286,3289,3292,3295,3298],{"className":3276},[620],[578,3278],{"className":3279,"style":1065},[624],[578,3281,1030],{"className":3282},[1069],[578,3284,1779],{"className":3285},[629],[578,3287,1770],{"className":3288},[629],[578,3290,1037],{"className":3291},[1079],[578,3293],{"className":3294,"style":635},[634],[578,3296,1779],{"className":3297},[639],[578,3299],{"className":3300,"style":635},[634],[578,3302,3304,3307,3310,3313,3316,3319,3322,3325],{"className":3303},[620],[578,3305],{"className":3306,"style":1065},[624],[578,3308,1030],{"className":3309},[1069],[578,3311,1779],{"className":3312},[629],[578,3314,1732],{"className":3315},[629],[578,3317,1037],{"className":3318},[1079],[578,3320],{"className":3321,"style":635},[634],[578,3323,1370],{"className":3324},[639],[578,3326],{"className":3327,"style":635},[634],[578,3329,3331,3334,3337,3340,3343],{"className":3330},[620],[578,3332],{"className":3333,"style":1513},[624],[578,3335,1925],{"className":3336},[629],[578,3338],{"className":3339,"style":950},[634],[578,3341,995],{"className":3342},[954],[578,3344],{"className":3345,"style":950},[634],[578,3347,3349,3352],{"className":3348},[620],[578,3350],{"className":3351,"style":1513},[624],[578,3353,1906],{"className":3354},[629]," und ",[578,3357,3359,3409],{"className":3358},[581],[578,3360,3362],{"className":3361},[585],[587,3363,3364],{"xmlns":589},[591,3365,3366,3406],{},[594,3367,3368,3370,3372,3374,3376,3378,3380,3382,3384,3386,3388,3390,3392,3394,3396,3398,3400,3402,3404],{},[597,3369,1348],{},[601,3371,1351],{},[597,3373,811],{},[601,3375,1370],{},[597,3377,1348],{},[601,3379,1351],{},[597,3381,874],{},[601,3383,995],{},[601,3385,1030],{"stretchy":1029},[601,3387,1779],{},[1480,3389,1723],{},[601,3391,1037],{"stretchy":1029},[601,3393,1370],{},[601,3395,1030],{"stretchy":1029},[601,3397,1779],{},[1480,3399,1770],{},[601,3401,1037],{"stretchy":1029},[601,3403,995],{},[1480,3405,1906],{},[608,3407,3408],{"encoding":610},"\\det A \\cdot \\det B = (-2) \\cdot (-5) = 10",[578,3410,3412,3436,3460,3487,3514],{"className":3411,"ariaHidden":616},[615],[578,3413,3415,3418,3421,3424,3427,3430,3433],{"className":3414},[620],[578,3416],{"className":3417,"style":1420},[624],[578,3419,1348],{"className":3420},[1392],[578,3422],{"className":3423,"style":1427},[634],[578,3425,811],{"className":3426},[629,630],[578,3428],{"className":3429,"style":635},[634],[578,3431,1370],{"className":3432},[639],[578,3434],{"className":3435,"style":635},[634],[578,3437,3439,3442,3445,3448,3451,3454,3457],{"className":3438},[620],[578,3440],{"className":3441,"style":1420},[624],[578,3443,1348],{"className":3444},[1392],[578,3446],{"className":3447,"style":1427},[634],[578,3449,874],{"className":3450,"style":889},[629,630],[578,3452],{"className":3453,"style":950},[634],[578,3455,995],{"className":3456},[954],[578,3458],{"className":3459,"style":950},[634],[578,3461,3463,3466,3469,3472,3475,3478,3481,3484],{"className":3462},[620],[578,3464],{"className":3465,"style":1065},[624],[578,3467,1030],{"className":3468},[1069],[578,3470,1779],{"className":3471},[629],[578,3473,1723],{"className":3474},[629],[578,3476,1037],{"className":3477},[1079],[578,3479],{"className":3480,"style":635},[634],[578,3482,1370],{"className":3483},[639],[578,3485],{"className":3486,"style":635},[634],[578,3488,3490,3493,3496,3499,3502,3505,3508,3511],{"className":3489},[620],[578,3491],{"className":3492,"style":1065},[624],[578,3494,1030],{"className":3495},[1069],[578,3497,1779],{"className":3498},[629],[578,3500,1770],{"className":3501},[629],[578,3503,1037],{"className":3504},[1079],[578,3506],{"className":3507,"style":950},[634],[578,3509,995],{"className":3510},[954],[578,3512],{"className":3513,"style":950},[634],[578,3515,3517,3520],{"className":3516},[620],[578,3518],{"className":3519,"style":1513},[624],[578,3521,1906],{"className":3522},[629],[565,3524,3525,3526,3578,3579,3649],{},"Eine ",[578,3527,3529,3547],{"className":3528},[581],[578,3530,3532],{"className":3531},[585],[587,3533,3534],{"xmlns":589},[591,3535,3536,3544],{},[594,3537,3538,3540,3542],{},[1480,3539,1723],{},[601,3541,603],{},[1480,3543,1732],{},[608,3545,3546],{"encoding":610},"2 \\times 3",[578,3548,3550,3569],{"className":3549,"ariaHidden":616},[615],[578,3551,3553,3557,3560,3563,3566],{"className":3552},[620],[578,3554],{"className":3555,"style":3556},[624],"height:0.7278em;vertical-align:-0.0833em;",[578,3558,1723],{"className":3559},[629],[578,3561],{"className":3562,"style":635},[634],[578,3564,603],{"className":3565},[639],[578,3567],{"className":3568,"style":635},[634],[578,3570,3572,3575],{"className":3571},[620],[578,3573],{"className":3574,"style":1513},[624],[578,3576,1732],{"className":3577},[629],"-Matrix mal einen Vektor aus ",[578,3580,3582,3603],{"className":3581},[581],[578,3583,3585],{"className":3584},[585],[587,3586,3587],{"xmlns":589},[591,3588,3589,3600],{},[594,3590,3591],{},[3592,3593,3594,3598],"msup",{},[597,3595,3597],{"mathvariant":3596},"double-struck","R",[1480,3599,1732],{},[608,3601,3602],{"encoding":610},"\\mathbb{R}^3",[578,3604,3606],{"className":3605,"ariaHidden":616},[615],[578,3607,3609,3613],{"className":3608},[620],[578,3610],{"className":3611,"style":3612},[624],"height:0.8141em;",[578,3614,3616,3620],{"className":3615},[629],[578,3617,3597],{"className":3618},[629,3619],"mathbb",[578,3621,3624],{"className":3622},[3623],"msupsub",[578,3625,3627],{"className":3626},[1573],[578,3628,3630],{"className":3629},[1577],[578,3631,3633],{"className":3632,"style":3612},[1581],[578,3634,3636,3640],{"style":3635},"top:-3.063em;margin-right:0.05em;",[578,3637],{"className":3638,"style":3639},[1588],"height:2.7em;",[578,3641,3646],{"className":3642},[3643,3644,1964,3645],"sizing","reset-size6","mtight",[578,3647,1732],{"className":3648},[629,3645],":",[578,3651,3653],{"className":3652},[1681],[578,3654,3656,3829],{"className":3655},[581],[578,3657,3659],{"className":3658},[585],[587,3660,3661],{"xmlns":589,"display":1690},[591,3662,3663,3826],{},[594,3664,3665,3718,3751,3753,3799,3801],{},[594,3666,3667,3669,3716],{},[601,3668,1030],{"fence":616},[1700,3670,3672,3692],{"rowspacing":1702,"columnalign":3671,"columnspacing":1704},"center center 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1 & 0 & 2 \\\\ -1 & 3 & 1 \\end{pmatrix} \\begin{pmatrix} 3 \\\\ 1 \\\\ 2 \\end{pmatrix}\n= \\begin{pmatrix} 3 + 0 + 4 \\\\ -3 + 3 + 2 \\end{pmatrix}\n= \\begin{pmatrix} 7 \\\\ 2 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ame":4303},[954],[578,4305],{"className":4306,"style":950},[634],[578,4308,4310,4313],{"className":4309},[620],[578,4311],{"className":4312,"style":1950},[624],[578,4314,4316,4322,4373],{"className":4315},[1954],[578,4317,4319],{"className":4318,"style":1959},[1069,1958],[578,4320,1030],{"className":4321},[1963,1964],[578,4323,4325],{"className":4324},[629],[578,4326,4328],{"className":4327},[1700],[578,4329,4331],{"className":4330},[1974],[578,4332,4334,4365],{"className":4333},[1573,1978],[578,4335,4337,4362],{"className":4336},[1577],[578,4338,4340,4351],{"className":4339,"style":1985},[1581],[578,4341,4342,4345],{"style":1988},[578,4343],{"className":4344,"style":1589},[1588],[578,4346,4348],{"className":4347},[629],[578,4349,3815],{"className":4350},[629],[578,4352,4353,4356],{"style":2000},[578,4354],{"className":4355,"style":1589},[1588],[578,4357,4359],{"className":4358},[629],[578,4360,1723],{"className":4361},[629],[578,4363,2014],{"className":4364},[2013],[578,4366,4368],{"className":4367},[1577],[578,4369,4371],{"className":4370,"style":2021},[1581],[578,4372],{},[578,4374,4376],{"className":4375,"style":1959},[1079,1958],[578,4377,1037],{"className":4378},[1963,1964],[560,4380,4382],{"id":4381},"typische-fehler","Typische Fehler",[895,4384,4385,4544,4889],{},[898,4386,4387,4388,4543],{},"Eintragsweise multiplizieren (",[578,4389,4391,4427],{"className":4390},[581],[578,4392,4394],{"className":4393},[585],[587,4395,4396],{"xmlns":589},[591,4397,4398,4424],{},[594,4399,4400,4412,4414],{},[4401,4402,4403,4406],"msub",{},[597,4404,4405],{},"a",[594,4407,4408,4410],{},[597,4409,780],{},[597,4411,842],{},[601,4413,1370],{},[4401,4415,4416,4418],{},[597,4417,1547],{},[594,4419,4420,4422],{},[597,4421,780],{},[597,4423,842],{},[608,4425,4426],{"encoding":610},"a_{ij} \\cdot b_{ij}",[578,4428,4430,4493],{"className":4429,"ariaHidden":616},[615],[578,4431,4433,4437,4484,4487,4490],{"className":4432},[620],[578,4434],{"className":4435,"style":4436},[624],"height:0.7306em;vertical-align:-0.2861em;",[578,4438,4440,4443],{"className":4439},[629],[578,4441,4405],{"className":4442},[629,630],[578,4444,4446],{"className":4445},[3623],[578,4447,4449,4475],{"className":4448},[1573,1978],[578,4450,4452,4472],{"className":4451},[1577],[578,4453,4456],{"className":4454,"style":4455},[1581],"height:0.3117em;",[578,4457,4459,4462],{"style":4458},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[578,4460],{"className":4461,"style":3639},[1588],[578,4463,4465],{"className":4464},[3643,3644,1964,3645],[578,4466,4468],{"className":4467},[629,3645],[578,4469,4471],{"className":4470,"style":858},[629,630,3645],"ij",[578,4473,2014],{"className":4474},[2013],[578,4476,4478],{"className":4477},[1577],[578,4479,4482],{"className":4480,"style":4481},[1581],"height:0.2861em;",[578,4483],{},[578,4485],{"className":4486,"style":635},[634],[578,4488,1370],{"className":4489},[639],[578,4491],{"className":4492,"style":635},[634],[578,4494,4496,4500],{"className":4495},[620],[578,4497],{"className":4498,"style":4499},[624],"height:0.9805em;vertical-align:-0.2861em;",[578,4501,4503,4506],{"className":4502},[629],[578,4504,1547],{"className":4505},[629,630],[578,4507,4509],{"className":4508},[3623],[578,4510,4512,4535],{"className":4511},[1573,1978],[578,4513,4515,4532],{"className":4514},[1577],[578,4516,4518],{"className":4517,"style":4455},[1581],[578,4519,4520,4523],{"style":4458},[578,4521],{"className":4522,"style":3639},[1588],[578,4524,4526],{"className":4525},[3643,3644,1964,3645],[578,4527,4529],{"className":4528},[629,3645],[578,4530,4471],{"className":4531,"style":858},[629,630,3645],[578,4533,2014],{"className":4534},[2013],[578,4536,4538],{"className":4537},[1577],[578,4539,4541],{"className":4540,"style":4481},[1581],[578,4542],{},"). Das ist das Hadamard-Produkt, nicht das Matrizenprodukt.",[898,4545,4546,4607,4608,4666,4667,4695,4696,4792,4793,1237],{},[578,4547,4549,4571],{"className":4548},[581],[578,4550,4552],{"className":4551},[585],[587,4553,4554],{"xmlns":589},[591,4555,4556,4568],{},[594,4557,4558,4560,4562,4564,4566],{},[597,4559,811],{},[597,4561,874],{},[601,4563,995],{},[597,4565,874],{},[597,4567,811],{},[608,4569,4570],{"encoding":610},"AB = BA",[578,4572,4574,4595],{"className":4573,"ariaHidden":616},[615],[578,4575,4577,4580,4583,4586,4589,4592],{"className":4576},[620],[578,4578],{"className":4579,"style":823},[624],[578,4581,811],{"className":4582},[629,630],[578,4584,874],{"className":4585,"style":889},[629,630],[578,4587],{"className":4588,"style":950},[634],[578,4590,995],{"className":4591},[954],[578,4593],{"className":4594,"style":950},[634],[578,4596,4598,4601,4604],{"className":4597},[620],[578,4599],{"className":4600,"style":823},[624],[578,4602,874],{"className":4603,"style":889},[629,630],[578,4605,811],{"className":4606},[629,630]," annehmen und Faktoren beim Umformen vertauschen. Aus ",[578,4609,4611,4632],{"className":4610},[581],[578,4612,4614],{"className":4613},[585],[587,4615,4616],{"xmlns":589},[591,4617,4618,4629],{},[594,4619,4620,4622,4625,4627],{},[597,4621,811],{},[597,4623,4624],{},"X",[601,4626,995],{},[597,4628,874],{},[608,4630,4631],{"encoding":610},"AX = B",[578,4633,4635,4657],{"className":4634,"ariaHidden":616},[615],[578,4636,4638,4641,4644,4648,4651,4654],{"className":4637},[620],[578,4639],{"className":4640,"style":823},[624],[578,4642,811],{"className":4643},[629,630],[578,4645,4624],{"className":4646,"style":4647},[629,630],"margin-right:0.0785em;",[578,4649],{"className":4650,"style":950},[634],[578,4652,995],{"className":4653},[954],[578,4655],{"className":4656,"style":950},[634],[578,4658,4660,4663],{"className":4659},[620],[578,4661],{"className":4662,"style":823},[624],[578,4664,874],{"className":4665,"style":889},[629,630]," folgt (für invertierbares ",[578,4668,4670,4683],{"className":4669},[581],[578,4671,4673],{"className":4672},[585],[587,4674,4675],{"xmlns":589},[591,4676,4677,4681],{},[594,4678,4679],{},[597,4680,811],{},[608,4682,811],{"encoding":610},[578,4684,4686],{"className":4685,"ariaHidden":616},[615],[578,4687,4689,4692],{"className":4688},[620],[578,4690],{"className":4691,"style":823},[624],[578,4693,811],{"className":4694},[629,630],") ",[578,4697,4699,4727],{"className":4698},[581],[578,4700,4702],{"className":4701},[585],[587,4703,4704],{"xmlns":589},[591,4705,4706,4724],{},[594,4707,4708,4710,4712,4722],{},[597,4709,4624],{},[601,4711,995],{},[3592,4713,4714,4716],{},[597,4715,811],{},[594,4717,4718,4720],{},[601,4719,1779],{},[1480,4721,1482],{},[597,4723,874],{},[608,4725,4726],{"encoding":610},"X = A^{-1}B",[578,4728,4730,4748],{"className":4729,"ariaHidden":616},[615],[578,4731,4733,4736,4739,4742,4745],{"className":4732},[620],[578,4734],{"className":4735,"style":823},[624],[578,4737,4624],{"className":4738,"style":4647},[629,630],[578,4740],{"className":4741,"style":950},[634],[578,4743,995],{"className":4744},[954],[578,4746],{"className":4747,"style":950},[634],[578,4749,4751,4754,4789],{"className":4750},[620],[578,4752],{"className":4753,"style":3612},[624],[578,4755,4757,4760],{"className":4756},[629],[578,4758,811],{"className":4759},[629,630],[578,4761,4763],{"className":4762},[3623],[578,4764,4766],{"className":4765},[1573],[578,4767,4769],{"className":4768},[1577],[578,4770,4772],{"className":4771,"style":3612},[1581],[578,4773,4774,4777],{"style":3635},[578,4775],{"className":4776,"style":3639},[1588],[578,4778,4780],{"className":4779},[3643,3644,1964,3645],[578,4781,4783,4786],{"className":4782},[629,3645],[578,4784,1779],{"className":4785},[629,3645],[578,4787,1482],{"className":4788},[629,3645],[578,4790,874],{"className":4791,"style":889},[629,630],", nicht ",[578,4794,4796,4824],{"className":4795},[581],[578,4797,4799],{"className":4798},[585],[587,4800,4801],{"xmlns":589},[591,4802,4803,4821],{},[594,4804,4805,4807,4809,4811],{},[597,4806,4624],{},[601,4808,995],{},[597,4810,874],{},[3592,4812,4813,4815],{},[597,4814,811],{},[594,4816,4817,4819],{},[601,4818,1779],{},[1480,4820,1482],{},[608,4822,4823],{"encoding":610},"X = BA^{-1}",[578,4825,4827,4845],{"className":4826,"ariaHidden":616},[615],[578,4828,4830,4833,4836,4839,4842],{"className":4829},[620],[578,4831],{"className":4832,"style":823},[624],[578,4834,4624],{"className":4835,"style":4647},[629,630],[578,4837],{"className":4838,"style":950},[634],[578,4840,995],{"className":4841},[954],[578,4843],{"className":4844,"style":950},[634],[578,4846,4848,4851,4854],{"className":4847},[620],[578,4849],{"className":4850,"style":3612},[624],[578,4852,874],{"className":4853,"style":889},[629,630],[578,4855,4857,4860],{"className":4856},[629],[578,4858,811],{"className":4859},[629,630],[578,4861,4863],{"className":4862},[3623],[578,4864,4866],{"className":4865},[1573],[578,4867,4869],{"className":4868},[1577],[578,4870,4872],{"className":4871,"style":3612},[1581],[578,4873,4874,4877],{"style":3635},[578,4875],{"className":4876,"style":3639},[1588],[578,4878,4880],{"className":4879},[3643,3644,1964,3645],[578,4881,4883,4886],{"className":4882},[629,3645],[578,4884,1779],{"className":4885},[629,3645],[578,4887,1482],{"className":4888},[629,3645],[898,4890,4891,4892,4942,4943,758],{},"Matrizen mit unpassenden Formaten multiplizieren, z.B. eine ",[578,4893,4895,4912],{"className":4894},[581],[578,4896,4898],{"className":4897},[585],[587,4899,4900],{"xmlns":589},[591,4901,4902,4910],{},[594,4903,4904,4906,4908],{},[1480,4905,1723],{},[601,4907,603],{},[1480,4909,1732],{},[608,4911,3546],{"encoding":610},[578,4913,4915,4933],{"className":4914,"ariaHidden":616},[615],[578,4916,4918,4921,4924,4927,4930],{"className":4917},[620],[578,4919],{"className":4920,"style":3556},[624],[578,4922,1723],{"className":4923},[629],[578,4925],{"className":4926,"style":635},[634],[578,4928,603],{"className":4929},[639],[578,4931],{"className":4932,"style":635},[634],[578,4934,4936,4939],{"className":4935},[620],[578,4937],{"className":4938,"style":1513},[624],[578,4940,1732],{"className":4941},[629],"- mit einer ",[578,4944,4946,4963],{"className":4945},[581],[578,4947,4949],{"className":4948},[585],[587,4950,4951],{"xmlns":589},[591,4952,4953,4961],{},[594,4954,4955,4957,4959],{},[1480,4956,1723],{},[601,4958,603],{},[1480,4960,1732],{},[608,4962,3546],{"encoding":610},[578,4964,4966,4984],{"className":4965,"ariaHidden":616},[615],[578,4967,4969,4972,4975,4978,4981],{"className":4968},[620],[578,4970],{"className":4971,"style":3556},[624],[578,4973,1723],{"className":4974},[629],[578,4976],{"className":4977,"style":635},[634],[578,4979,603],{"className":4980},[639],[578,4982],{"className":4983,"style":635},[634],[578,4985,4987,4990],{"className":4986},[620],[578,4988],{"className":4989,"style":1513},[624],[578,4991,1732],{"className":4992},[629],{"title":4994,"searchDepth":4995,"depth":4995,"links":4996},"",2,[4997,4998,4999],{"id":562,"depth":4995,"text":563},{"id":1676,"depth":4995,"text":1677},{"id":4381,"depth":4995,"text":4382},[5001,5004,5007,5009,5012,5014,5017,5019,5021,5023,5026,5028,5030,5032],{"lhs":5002,"rhs":5003},"multiply([[a11, a12], [a21, a22]], [[b11, b12], [b21, b22]])[1, 2]","a11*b12 + a12*b22",{"lhs":5005,"rhs":5006},"det(multiply([[a11, a12], [a21, a22]], [[b11, b12], [b21, b22]]))","(a11*a22 - a12*a21) * (b11*b22 - b12*b21)",{"lhs":5008,"rhs":1906},"1*0 + 2*5",{"lhs":5010,"rhs":5011},"1*1 + 2*(-2)","-3",{"lhs":5013,"rhs":1925},"3*0 + 4*5",{"lhs":5015,"rhs":5016},"3*1 + 4*(-2)","-5",{"lhs":5018,"rhs":5016},"multiply([[1, 2], [3, 4]], [[0, 1], [5, -2]])[2, 2]",{"lhs":5020,"rhs":1732},"0*1 + 1*3",{"lhs":5022,"rhs":1739},"0*2 + 1*4",{"lhs":5024,"rhs":5025},"5*1 + (-2)*3","-1",{"lhs":5027,"rhs":1723},"5*2 + (-2)*4",{"lhs":5029,"rhs":3815},"1*3 + 0*1 + 2*2",{"lhs":5031,"rhs":1723},"(-1)*3 + 3*1 + 1*2",{"lhs":5033,"rhs":5034},"10*(-5) - (-3)*20","(1*4 - 2*3) * (0*(-2) - 1*5)","A \\in \\mathbb{R}^{m \\times n},\\ B \\in \\mathbb{R}^{n \\times p}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmsup>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003Cmrow>\u003Cmi>m\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 \\in \\mathbb{R}^{m \\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:0.7224em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\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\">m\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>B\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmsup>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>×\u003C\u002Fmo>\u003Cmi>p\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">B \\in \\mathbb{R}^{n \\times p}\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:0.7224em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7713em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7713em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">×\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\">p\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","matrix-multiplication","(AB)_{ij} = \\sum_{k=1}^{n} a_{ik} \\, b_{kj}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>B\u003C\u002Fmi>\u003Cmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmi>j\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmtext> \u003C\u002Fmtext>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmi>j\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">(AB)_{ij} = \\sum_{k=1}^{n} a_{ik} \\, b_{kj}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t 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:0.2778em;\">\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:2.9535em;vertical-align:-1.3021em;\">\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:-1.8479em;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\" style=\"margin-right:0.0315em;\">k\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\">n\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:1.3021em;\">\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:0.3361em;\">\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:0.0315em;\">ik\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:0.15em;\">\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 mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\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:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j\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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Fmatrizenmultiplikation",[],[5048,5049,5050,5051],"dot-product","determinant-2x2","inverse-2x2","characteristic-polynomial",{"title":548,"description":4994},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Fmatrizenmultiplikation","Der Eintrag in Zeile i und Spalte j des Produkts AB ist das Skalarprodukt der i-ten Zeile von A mit der j-ten Spalte von B.",[5056,5057,5058,5059],"matrix","multiplikation","matrizenprodukt","zeile mal spalte",[5061,5065,5069,5073],{"symbol":5062,"meaning":5063,"symbolHtml":5064},"A = (a_{ik})","Matrix mit m Zeilen und n Spalten","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A = (a_{ik})\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\">A\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=\"mopen\">(\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:0.3361em;\">\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:0.0315em;\">ik\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:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":5066,"meaning":5067,"symbolHtml":5068},"B = (b_{kj})","Matrix mit n Zeilen und p Spalten","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>B\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmi>j\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">B = (b_{kj})\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:0.0502em;\">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:1.0361em;vertical-align:-0.2861em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\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:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j\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=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":5070,"meaning":5071,"symbolHtml":5072},"(AB)_{ij}","Eintrag des Produkts in Zeile i und Spalte j; AB hat m Zeilen und p Spalten","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>B\u003C\u002Fmi>\u003Cmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmi>j\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">(AB)_{ij}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t 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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":606,"meaning":5074,"symbolHtml":5075},"Spaltenzahl von A, gleich der Zeilenzahl von B","\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>","PpiFQii3e-KyOXXcg0xkJjanYnfF49eSYLuJ4e0WVJE",[5078,5081,5084,5087],{"stem":5079,"title":5080,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Fdeterminante-2x2","Determinante einer 2×2-Matrix",{"stem":5082,"title":5083,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Feigenwerte-charakteristisches-polynom","Eigenwerte und charakteristisches Polynom",{"stem":5085,"title":5086,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Finverse-2x2-matrix","Inverse einer 2×2-Matrix",{"stem":5088,"title":5089,"category":312},"de\u002Fformulas\u002Fmath\u002Flinear-algebra\u002Fskalarprodukt","Skalarprodukt",1793824278893]