21:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000 El conjunto de matrices :@0.108233:0.097328:0.301279:0.097328:0.301279:0.079645:0.108233:0.079645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.301279:0.097569:0.317381:0.097569:0.317381:0.079660:0.301279:0.079660:0.000000 m n:@0.317380:0.100687:0.339449:0.100687:0.339449:0.090246:0.317380:0.090246:0.000000:0.000000:0.000000 ×:@0.326615:0.100546:0.333460:0.100546:0.333460:0.090237:0.326615:0.090237:0.000000 [ ]:@0.339448:0.097328:0.367228:0.097328:0.367228:0.079645:0.339448:0.079645:0.000000:0.000000:0.000000 R:@0.346383:0.095716:0.360293:0.095716:0.360293:0.082269:0.346383:0.082269:0.000000 Una matriz de × con coeficientes en es un arreglo rectangular :@0.108233:0.121164:0.599928:0.121164:0.599928:0.104667:0.108233:0.104667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.213404:0.121280:0.228200:0.121280:0.228200:0.104811:0.213404:0.104811:0.000000 n:@0.247523:0.121280:0.256886:0.121280:0.256886:0.104811:0.247523:0.104811:0.000000 R:@0.402546:0.120077:0.415851:0.120077:0.415851:0.107215:0.402546:0.107215:0.000000 de la forma::@0.108241:0.138515:0.191505:0.138515:0.191505:0.122017:0.108241:0.122017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A las matrices de × las notaremos en forma abreviada como:@0.108241:0.259970:0.566018:0.259970:0.566018:0.243473:0.108241:0.243473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m n:@0.232596:0.260086:0.275846:0.260086:0.275846:0.243617:0.232596:0.243617:0.000000:0.000000:0.000000 A:@0.108241:0.277437:0.119511:0.277437:0.119511:0.260968:0.108241:0.260968:0.000000 = ( ):@0.119511:0.277321:0.163450:0.277321:0.163450:0.260823:0.119511:0.260823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.144209:0.277437:0.153186:0.277437:0.153186:0.260968:0.144209:0.260968:0.000000 ij m n:@0.153061:0.280665:0.183836:0.280665:0.183836:0.271064:0.153061:0.271064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ×:@0.172077:0.280598:0.178378:0.280598:0.178378:0.270980:0.172077:0.270980:0.000000 . Esta expresión indica que se trata de una matriz de orden:@0.183835:0.277321:0.595782:0.277321:0.595782:0.260823:0.183835:0.260823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m n:@0.108238:0.301916:0.151489:0.301916:0.151489:0.285447:0.108238:0.285447:0.000000:0.000000:0.000000 × , llamada ; sus elementos se llaman .:@0.123034:0.301800:0.426863:0.301799:0.426863:0.285302:0.123034:0.285302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.218164:0.301916:0.229434:0.301916:0.229434:0.285447:0.218164:0.285447:0.000000 a:@0.410814:0.301916:0.419792:0.301916:0.419792:0.285447:0.410814:0.285447:0.000000 ij:@0.419672:0.305145:0.424108:0.305145:0.424108:0.295544:0.419672:0.295544:0.000000:0.000000 Ejemplo:@0.108235:0.336877:0.165664:0.336877:0.165664:0.320090:0.108235:0.320090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.108235:0.368296:0.119505:0.368296:0.119505:0.351827:0.108235:0.351827:0.000000 = , = .:@0.119505:0.368180:0.433336:0.368180:0.433336:0.351683:0.119505:0.351683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.290465:0.368296:0.299654:0.368296:0.299654:0.351827:0.290465:0.351827:0.000000 A:@0.108235:0.415071:0.119505:0.415071:0.119505:0.398602:0.108235:0.398602:0.000000 es una matriz de 2 filas 4 columnas y es una matriz de 2 filas y 3 :@0.119505:0.414955:0.599977:0.414955:0.599977:0.398458:0.119505:0.398458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.392569:0.415071:0.401758:0.415071:0.401758:0.398602:0.392569:0.398602:0.000000 columnas.:@0.108235:0.432306:0.180670:0.432306:0.180670:0.415808:0.108235:0.415808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Operaciones con matrices :@0.108233:0.468406:0.321018:0.468406:0.321018:0.450724:0.108233:0.450724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.321018:0.468648:0.337120:0.468648:0.337120:0.450739:0.321018:0.450739:0.000000 m n:@0.337121:0.471765:0.359190:0.471765:0.359190:0.461324:0.337121:0.461324:0.000000:0.000000:0.000000 ×:@0.346356:0.471625:0.353201:0.471625:0.353201:0.461316:0.346356:0.461316:0.000000 [ ]:@0.359189:0.468406:0.386968:0.468406:0.386968:0.450724:0.359189:0.450724:0.000000:0.000000:0.000000 R:@0.366124:0.466794:0.380034:0.466794:0.380034:0.453348:0.366124:0.453348:0.000000 Suma de matrices:@0.108233:0.484642:0.238607:0.484642:0.238607:0.468433:0.108233:0.468433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dadas dos matrices = ( ) y = ( ) del mismo orden × ,:@0.108233:0.501710:0.551492:0.501710:0.551492:0.485213:0.108233:0.485213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.250505:0.501826:0.261775:0.501826:0.261775:0.485357:0.250505:0.485357:0.000000 a:@0.286820:0.501826:0.295798:0.501826:0.295798:0.485357:0.286820:0.485357:0.000000 ij:@0.295681:0.505056:0.300117:0.505056:0.300117:0.495454:0.295681:0.495454:0.000000:0.000000 B:@0.322175:0.501826:0.331365:0.501826:0.331365:0.485357:0.322175:0.485357:0.000000 b:@0.356410:0.501826:0.365676:0.501826:0.365676:0.485357:0.356410:0.485357:0.000000 ij:@0.365598:0.505056:0.370035:0.505056:0.370035:0.495454:0.365598:0.495454:0.000000:0.000000 m n:@0.505486:0.501826:0.548737:0.501826:0.548737:0.485357:0.505486:0.485357:0.000000:0.000000:0.000000 la suma se define como: + = ( + ):@0.108239:0.526189:0.399317:0.526189:0.399317:0.509691:0.108239:0.509692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B:@0.282761:0.526305:0.322312:0.526305:0.322312:0.509836:0.282761:0.509836:0.000000:0.000000:0.000000 a:@0.347357:0.526305:0.356335:0.526305:0.356335:0.509836:0.347357:0.509836:0.000000 ij:@0.356210:0.529534:0.360647:0.529534:0.360647:0.519933:0.356210:0.519933:0.000000:0.000000 b:@0.379740:0.526304:0.389007:0.526304:0.389007:0.509836:0.379740:0.509836:0.000000 ij m n:@0.388928:0.529534:0.419703:0.529534:0.419703:0.519933:0.388928:0.519933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ×:@0.407944:0.529467:0.414245:0.529467:0.414245:0.519848:0.407944:0.519848:0.000000 .:@0.419702:0.526189:0.422457:0.526189:0.422457:0.509691:0.419702:0.509691:0.000000 Ejercicios resueltos:@0.108241:0.561266:0.238896:0.561266:0.238896:0.544479:0.108241:0.544479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1.:@0.108241:0.592787:0.120513:0.592787:0.120513:0.576072:0.108241:0.576072:0.000000:0.000000 Sean = , = :@0.120513:0.592570:0.451883:0.592574:0.451883:0.576076:0.120513:0.576073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.169775:0.592686:0.181045:0.592686:0.181045:0.576217:0.169775:0.576217:0.000000 :@0.298157:0.595852:0.305401:0.595852:0.305401:0.586234:0.298157:0.586234:0.000000:0.000000:0.000000 B:@0.309542:0.592690:0.318732:0.592690:0.318732:0.576221:0.309542:0.576221:0.000000 :@0.433089:0.592055:0.447741:0.592055:0.447741:0.578682:0.433089:0.578682:0.000000 M:@0.451883:0.592690:0.467160:0.592690:0.467160:0.576221:0.451883:0.576221:0.000000 2×3 :@0.467160:0.595852:0.485782:0.595852:0.485782:0.586234:0.467160:0.586234:0.000000:0.000000:0.000000:0.000000 . Entonces,:@0.485782:0.592574:0.564825:0.592574:0.564825:0.576076:0.485782:0.576076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108240:0.644626:0.112382:0.644626:0.112382:0.628129:0.108240:0.628129:0.000000 A B:@0.131975:0.644742:0.171526:0.644742:0.171526:0.628273:0.131975:0.628273:0.000000:0.000000:0.000000 + = :@0.143245:0.644626:0.304679:0.644626:0.304679:0.628129:0.143245:0.628129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.285884:0.644108:0.300536:0.644108:0.300536:0.630734:0.285884:0.630734:0.000000 M:@0.304679:0.644742:0.319957:0.644742:0.319957:0.628273:0.304679:0.628273:0.000000 2×3:@0.319957:0.647904:0.336164:0.647904:0.336164:0.638286:0.319957:0.638286:0.000000:0.000000:0.000000 .:@0.336163:0.644626:0.338918:0.644626:0.338918:0.628129:0.336163:0.628129:0.000000 2.:@0.108236:0.696896:0.120508:0.696896:0.120508:0.680181:0.108236:0.680181:0.000000:0.000000 Sean = :@0.120508:0.696679:0.314196:0.696679:0.314196:0.680181:0.120508:0.680181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.169768:0.696794:0.181038:0.696794:0.181038:0.680326:0.169768:0.680326:0.000000 :@0.295401:0.696160:0.310053:0.696160:0.310053:0.682787:0.295401:0.682787:0.000000 M:@0.314196:0.696794:0.329474:0.696794:0.329474:0.680326:0.314196:0.680326:0.000000 2×3:@0.329474:0.699957:0.345681:0.699957:0.345681:0.690338:0.329474:0.690338:0.000000:0.000000:0.000000 y = :@0.345680:0.696679:0.479274:0.696679:0.479274:0.680181:0.345680:0.680181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.365928:0.696794:0.375117:0.696794:0.375117:0.680326:0.365928:0.680326:0.000000 :@0.460479:0.696160:0.475131:0.696160:0.475131:0.682787:0.460479:0.682787:0.000000 M:@0.479274:0.696794:0.494552:0.696794:0.494552:0.680326:0.479274:0.680326:0.000000 3×2:@0.494552:0.699957:0.510759:0.699957:0.510759:0.690338:0.494552:0.690338:0.000000:0.000000:0.000000 :@0.108233:0.741941:0.112375:0.741941:0.112375:0.725444:0.108233:0.725444:0.000000 A B:@0.131968:0.742057:0.171519:0.742057:0.171519:0.725588:0.131968:0.725588:0.000000:0.000000:0.000000 + no está definido, las matrices son de diferente orden.:@0.143238:0.741941:0.548149:0.741941:0.548149:0.725444:0.143238:0.725444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Producto de matrices:@0.108233:0.776171:0.266488:0.776171:0.266488:0.759962:0.108233:0.759962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dadas dos matrices :@0.108233:0.793239:0.285184:0.793239:0.285184:0.776742:0.108233:0.776742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.250850:0.793355:0.262120:0.793355:0.262120:0.776886:0.250850:0.776886:0.000000 :@0.266389:0.792721:0.281042:0.792721:0.281042:0.779347:0.266389:0.779347:0.000000 M:@0.285300:0.793355:0.300577:0.793355:0.300577:0.776886:0.285300:0.776886:0.000000 m p:@0.300502:0.796585:0.320831:0.796585:0.320831:0.786984:0.300502:0.786984:0.000000:0.000000:0.000000 ×:@0.309128:0.796517:0.315429:0.796517:0.315429:0.786899:0.309128:0.786899:0.000000 [ ] y :@0.320831:0.793239:0.394434:0.793239:0.394434:0.776742:0.320831:0.776742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.326688:0.792152:0.339992:0.792152:0.339992:0.779290:0.326688:0.779290:0.000000 B:@0.362186:0.793355:0.371376:0.793355:0.371376:0.776886:0.362186:0.776886:0.000000 :@0.375640:0.792721:0.390292:0.792721:0.390292:0.779347:0.375640:0.779347:0.000000 M:@0.394549:0.793355:0.409826:0.793355:0.409826:0.776886:0.394549:0.776886:0.000000 p n :@0.409753:0.796585:0.429329:0.796585:0.429329:0.786984:0.409753:0.786984:0.000000:0.000000:0.000000:0.000000 ×:@0.415155:0.796517:0.421456:0.796517:0.421456:0.786899:0.415155:0.786899:0.000000 [ ](es decir, el número :@0.429397:0.793239:0.599903:0.793239:0.599903:0.776742:0.429397:0.776742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.435253:0.792152:0.448558:0.792152:0.448558:0.779290:0.435253:0.779290:0.000000 :@0.454415:0.796585:0.456829:0.796585:0.456829:0.786984:0.454415:0.786984:0.000000 de filas de coincide con el número de columnas de ). Se llama :@0.108236:0.810590:0.599809:0.810590:0.599809:0.794092:0.108236:0.794092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.189478:0.810706:0.198668:0.810706:0.198668:0.794237:0.189478:0.794237:0.000000 A:@0.509050:0.810706:0.520320:0.810706:0.520320:0.794237:0.509050:0.794237:0.000000 matriz producto :@0.108236:0.827941:0.228856:0.827941:0.228856:0.811443:0.108236:0.811443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A·B:@0.228644:0.828057:0.251955:0.828057:0.251955:0.811588:0.228644:0.811588:0.000000:0.000000:0.000000 a otra matriz , cuyos elementos se obtienen así::@0.251955:0.827941:0.595817:0.827941:0.595817:0.811443:0.251955:0.811443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.349399:0.828057:0.359436:0.828057:0.359436:0.811588:0.349399:0.811588:0.000000 ( ) = :@0.108236:0.857365:0.178363:0.857362:0.178363:0.840864:0.108236:0.840867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ab:@0.114189:0.857481:0.132318:0.857481:0.132318:0.841012:0.114189:0.841012:0.000000:0.000000 ij:@0.138267:0.860707:0.142703:0.860707:0.142703:0.851106:0.138267:0.851106:0.000000:0.000000 a b:@0.178363:0.857477:0.204006:0.857477:0.204006:0.841009:0.178363:0.841009:0.000000:0.000000:0.000000 ik kj :@0.187224:0.860707:0.213317:0.860707:0.213317:0.851106:0.187224:0.851106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ; = 1, 2, … , = 1, 2, …, .:@0.213317:0.857362:0.410844:0.857362:0.410844:0.840864:0.213317:0.840864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.224356:0.857477:0.228152:0.857477:0.228152:0.841009:0.224356:0.841009:0.000000 m j:@0.297218:0.857477:0.326905:0.857477:0.326905:0.841009:0.297218:0.841009:0.000000:0.000000:0.000000 n:@0.398726:0.857477:0.408089:0.857477:0.408089:0.841009:0.398726:0.841009:0.000000 :@0.108226:0.874712:0.112368:0.874712:0.112368:0.858215:0.108226:0.858215:0.000000 Ejercicio resuelto:@0.108226:0.892439:0.226204:0.892439:0.226204:0.875652:0.108226:0.875652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 · = ; no está definido.:@0.108226:0.930119:0.594841:0.930119:0.594841:0.913622:0.108226:0.913622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Recuerda que…:@0.684804:0.134179:0.794564:0.134179:0.794564:0.118706:0.684804:0.118706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 •:@0.638503:0.175862:0.645592:0.175862:0.645592:0.160166:0.638503:0.160166:0.000000 Se dice que una matriz es :@0.645593:0.175216:0.822812:0.175216:0.822812:0.160152:0.645593:0.160152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuadrada, si y solo si, tiene el :@0.655127:0.191058:0.843108:0.191058:0.843108:0.175994:0.655127:0.175994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mismo número de filas que :@0.655127:0.206900:0.836636:0.206900:0.836636:0.191836:0.655127:0.191836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de columnas. Así, una matriz :@0.655127:0.222742:0.844765:0.222742:0.844765:0.207678:0.655127:0.207678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuadrada de orden tiene :@0.655127:0.238584:0.842754:0.238584:0.842754:0.223520:0.655127:0.223520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.781843:0.238689:0.790392:0.238689:0.790392:0.223652:0.781843:0.223652:0.000000 n:@0.830424:0.238689:0.838972:0.238689:0.838972:0.223652:0.830424:0.223652:0.000000 filas y columnas.:@0.655127:0.254426:0.773033:0.254426:0.773033:0.239362:0.655127:0.239362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.694564:0.254531:0.703112:0.254531:0.703112:0.239494:0.694564:0.239494:0.000000 •:@0.638504:0.278043:0.645593:0.278043:0.645593:0.262347:0.638504:0.262347:0.000000 Se llama diagonal principal :@0.645593:0.277396:0.831359:0.277396:0.831359:0.262333:0.645593:0.262333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de una matriz cuadrada a la :@0.655127:0.293238:0.837832:0.293238:0.837832:0.278175:0.655127:0.278175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 formada por los elementos :@0.655127:0.309080:0.833628:0.309080:0.833628:0.294017:0.655127:0.294017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.833628:0.309186:0.849477:0.309186:0.849477:0.294149:0.833628:0.294149:0.000000:0.000000:0.000000 ii:@0.841717:0.312134:0.845696:0.312134:0.845696:0.303367:0.841717:0.303367:0.000000:0.000000 (es decir: , , …, :@0.655125:0.324922:0.783624:0.324922:0.783624:0.309859:0.655125:0.309859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a a:@0.716513:0.325028:0.748247:0.325028:0.748247:0.309991:0.716513:0.309991:0.000000:0.000000:0.000000 11:@0.724708:0.327914:0.733753:0.327914:0.733753:0.319132:0.724708:0.319132:0.000000:0.000000 22:@0.748247:0.327914:0.757292:0.327914:0.757292:0.319132:0.748247:0.319132:0.000000:0.000000 a:@0.783624:0.325028:0.791820:0.325028:0.791820:0.309991:0.783624:0.309991:0.000000 nn:@0.791820:0.327914:0.802075:0.327914:0.802075:0.319132:0.791820:0.319132:0.000000:0.000000 ).:@0.802075:0.324922:0.810026:0.324922:0.810026:0.309859:0.802075:0.309859:0.000000:0.000000 •:@0.638506:0.348540:0.645595:0.348540:0.645595:0.332843:0.638506:0.332843:0.000000 Se llama traza de una matriz :@0.645595:0.347893:0.841335:0.347893:0.841335:0.332830:0.645595:0.332830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuadrada a la suma de los :@0.655128:0.363735:0.825361:0.363735:0.825361:0.348672:0.655128:0.348672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 elementos de su diagonal :@0.655128:0.379577:0.823199:0.379577:0.823199:0.364514:0.655128:0.364514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 principal, es decir, :@0.655128:0.395419:0.772522:0.395419:0.772522:0.380356:0.655128:0.380356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.638505:0.418390:0.642287:0.418390:0.642287:0.403327:0.638505:0.403327:0.000000 Traza A:@0.655128:0.418496:0.705788:0.418496:0.705788:0.403459:0.655128:0.403459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) = =:@0.690062:0.418390:0.769495:0.418388:0.769495:0.403325:0.690062:0.403327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.743782:0.418496:0.751979:0.418496:0.751979:0.403459:0.743782:0.403459:0.000000 ii:@0.751867:0.421442:0.755846:0.421442:0.755846:0.412676:0.751867:0.412676:0.000000:0.000000 :@0.638503:0.441359:0.642285:0.441359:0.642285:0.426295:0.638503:0.426295:0.000000 a:@0.655125:0.441464:0.663322:0.441464:0.663322:0.426427:0.655125:0.426427:0.000000 11:@0.663320:0.444350:0.672365:0.444350:0.672365:0.435569:0.663320:0.435569:0.000000:0.000000 + + … + :@0.672365:0.441357:0.755640:0.441357:0.755640:0.426294:0.672365:0.426294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.689797:0.441463:0.697994:0.441463:0.697994:0.426426:0.689797:0.426426:0.000000 12:@0.697994:0.444350:0.707039:0.444350:0.707039:0.435569:0.697994:0.435569:0.000000:0.000000 a:@0.755640:0.441463:0.763837:0.441463:0.763837:0.426426:0.755640:0.426426:0.000000 mn:@0.763696:0.444412:0.776473:0.444412:0.776473:0.435645:0.763696:0.435645:0.000000:0.000000 .:@0.776473:0.441357:0.778988:0.441357:0.778988:0.426294:0.776473:0.426294:0.000000 •:@0.638497:0.464975:0.645585:0.464975:0.645585:0.449278:0.638497:0.449278:0.000000 La adición de matrices y el :@0.645585:0.464328:0.829310:0.464328:0.829310:0.449265:0.645585:0.449265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 producto matricial de :@0.655118:0.480170:0.800428:0.480170:0.800428:0.465107:0.655118:0.465107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.800428:0.480276:0.814377:0.480276:0.814377:0.465239:0.800428:0.465239:0.000000 n n:@0.814313:0.483224:0.830034:0.483224:0.830034:0.474457:0.814313:0.474457:0.000000:0.000000:0.000000 ×:@0.819297:0.483162:0.825050:0.483162:0.825050:0.474380:0.819297:0.474380:0.000000 :@0.830034:0.480170:0.833815:0.480170:0.833815:0.465107:0.830034:0.465107:0.000000 cumplen las mismas propie-:@0.655118:0.496012:0.837367:0.496012:0.837367:0.480949:0.655118:0.480949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dades de :@0.655118:0.511854:0.717139:0.511854:0.717139:0.496791:0.655118:0.496791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.717139:0.511960:0.731088:0.511960:0.731088:0.496923:0.717139:0.496923:0.000000 2×2:@0.731094:0.514846:0.745892:0.514846:0.745892:0.506064:0.731094:0.506064:0.000000:0.000000:0.000000 .:@0.745891:0.511854:0.748407:0.511854:0.748407:0.496791:0.745891:0.496791:0.000000 Producto de un escalar por :@0.638504:0.551089:0.832306:0.551089:0.832306:0.535617:0.638504:0.535617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una matriz :@0.638504:0.566931:0.718310:0.566931:0.718310:0.551459:0.638504:0.551459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.718310:0.567143:0.732400:0.567143:0.732400:0.551472:0.718310:0.551472:0.000000 m×n:@0.732399:0.569869:0.751719:0.569869:0.751719:0.560733:0.732399:0.560733:0.000000:0.000000:0.000000 Sean = ( ) una matriz de :@0.638503:0.582350:0.820670:0.582350:0.820670:0.567287:0.638503:0.567287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.673015:0.582455:0.683305:0.582455:0.683305:0.567419:0.673015:0.567419:0.000000 a:@0.706172:0.582455:0.714369:0.582455:0.714369:0.567419:0.706172:0.567419:0.000000 ij:@0.714263:0.585403:0.718313:0.585403:0.718313:0.576637:0.714263:0.576637:0.000000:0.000000 orden × y un número. Se :@0.638508:0.598192:0.846232:0.598192:0.846232:0.583129:0.638508:0.583129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m n:@0.680935:0.598297:0.720424:0.598297:0.720424:0.583261:0.680935:0.583261:0.000000:0.000000:0.000000:0.000000 α:@0.735124:0.604561:0.744260:0.604561:0.744260:0.588153:0.735124:0.588153:0.000000 define el producto del escalar :@0.638512:0.614034:0.846968:0.614034:0.846968:0.598971:0.638512:0.598971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 α:@0.834047:0.620403:0.843182:0.620403:0.843182:0.603995:0.834047:0.603995:0.000000 por la matriz y se denota por :@0.638508:0.629876:0.843833:0.629876:0.843833:0.614813:0.638508:0.614813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.724471:0.629981:0.734761:0.629981:0.734761:0.614945:0.724471:0.614945:0.000000 α:@0.638503:0.652087:0.647638:0.652087:0.647638:0.635679:0.638503:0.635679:0.000000 A:@0.647642:0.645823:0.657932:0.645823:0.657932:0.630787:0.647642:0.630787:0.000000 a una matriz cuyos elemen-:@0.657932:0.645718:0.839408:0.645718:0.839408:0.630655:0.657932:0.630655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tos se obtienen multiplicando :@0.638495:0.661560:0.836926:0.661560:0.836926:0.646497:0.638495:0.646497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cada elemento de por .:@0.638495:0.677402:0.811051:0.677402:0.811051:0.662339:0.638495:0.662339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.758440:0.677507:0.768730:0.677507:0.768730:0.662471:0.758440:0.662471:0.000000 α:@0.799397:0.683771:0.808532:0.683771:0.808532:0.667363:0.799397:0.667363:0.000000 α:@0.697016:0.699613:0.706151:0.699613:0.706151:0.683205:0.697016:0.683205:0.000000 A:@0.706155:0.693349:0.716445:0.693349:0.716445:0.678313:0.706155:0.678313:0.000000 = (:@0.716445:0.693244:0.739312:0.693244:0.739312:0.678181:0.716445:0.678181:0.000000:0.000000:0.000000:0.000000 α :@0.739311:0.699613:0.751947:0.699613:0.751947:0.683205:0.739311:0.683205:0.000000:0.000000 a:@0.751954:0.693349:0.760151:0.693349:0.760151:0.678313:0.751954:0.678313:0.000000 ij m n:@0.760045:0.696297:0.788143:0.696297:0.788143:0.687531:0.760045:0.687531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.764096:0.693244:0.769531:0.693244:0.769531:0.678181:0.764096:0.678181:0.000000 ×:@0.777406:0.696235:0.783159:0.696235:0.783159:0.687454:0.777406:0.687454:0.000000 La matriz :@0.638503:0.716213:0.701757:0.716213:0.701757:0.701150:0.638503:0.701150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 α:@0.701757:0.722583:0.710892:0.722583:0.710892:0.706175:0.701757:0.706175:0.000000 A:@0.710896:0.716319:0.721186:0.716319:0.721186:0.701282:0.710896:0.701282:0.000000 es, por lo tanto, :@0.721186:0.716213:0.829382:0.716213:0.829382:0.701150:0.721186:0.701150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una matriz de la misma dimen-:@0.638495:0.732055:0.840075:0.732055:0.840075:0.716992:0.638495:0.716992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sión que .:@0.638495:0.747897:0.710280:0.747897:0.710280:0.732834:0.638495:0.732834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.697474:0.748003:0.707764:0.748003:0.707764:0.732966:0.697474:0.732966:0.000000 a:@0.185993:0.162753:0.194970:0.162753:0.194970:0.146284:0.185993:0.146284:0.000000 11:@0.194970:0.165915:0.204877:0.165915:0.204877:0.156297:0.194970:0.156297:0.000000:0.000000 a:@0.219511:0.162753:0.228488:0.162753:0.228488:0.146284:0.219511:0.146284:0.000000 12:@0.228488:0.165915:0.238395:0.165915:0.238395:0.156297:0.228488:0.156297:0.000000:0.000000 …:@0.254947:0.162638:0.269993:0.162638:0.269993:0.146140:0.254947:0.146140:0.000000 a:@0.286292:0.162753:0.295269:0.162753:0.295269:0.146284:0.286292:0.146284:0.000000 1:@0.295270:0.165915:0.300223:0.165915:0.300223:0.156297:0.295270:0.156297:0.000000 n:@0.300223:0.165983:0.305682:0.165983:0.305682:0.156382:0.300223:0.156382:0.000000 a:@0.185993:0.184137:0.194970:0.184137:0.194970:0.167669:0.185993:0.167669:0.000000 21:@0.194970:0.187300:0.204877:0.187300:0.204877:0.177682:0.194970:0.177682:0.000000:0.000000 a:@0.219511:0.184137:0.228488:0.184137:0.228488:0.167669:0.219511:0.167669:0.000000 22:@0.228488:0.187300:0.238395:0.187300:0.238395:0.177682:0.228488:0.177682:0.000000:0.000000 …:@0.254947:0.184022:0.269993:0.184022:0.269993:0.167524:0.254947:0.167524:0.000000 a:@0.286292:0.184137:0.295269:0.184137:0.295269:0.167669:0.286292:0.167669:0.000000 2:@0.295270:0.187300:0.300223:0.187300:0.300223:0.177682:0.295270:0.177682:0.000000 n:@0.300223:0.187367:0.305682:0.187367:0.305682:0.177766:0.300223:0.177766:0.000000 … … … …:@0.187911:0.205406:0.303522:0.205406:0.303522:0.188908:0.187911:0.188908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.184250:0.226906:0.193228:0.226906:0.193228:0.210438:0.184250:0.210438:0.000000 m:@0.193055:0.230134:0.201681:0.230134:0.201681:0.220533:0.193055:0.220533:0.000000 1:@0.201681:0.230067:0.206634:0.230067:0.206634:0.220449:0.201681:0.220449:0.000000 a:@0.217750:0.226906:0.226728:0.226906:0.226728:0.210437:0.217750:0.210437:0.000000 m:@0.226574:0.230134:0.235200:0.230134:0.235200:0.220533:0.226574:0.220533:0.000000 2:@0.235200:0.230067:0.240153:0.230067:0.240153:0.220449:0.235200:0.220449:0.000000 …:@0.254947:0.226790:0.269993:0.226790:0.269993:0.210292:0.254947:0.210292:0.000000 a:@0.284577:0.226906:0.293555:0.226906:0.293555:0.210437:0.284577:0.210437:0.000000 mn:@0.293402:0.230134:0.307397:0.230134:0.307397:0.220533:0.293402:0.220533:0.000000:0.000000 3 –2 1:@0.150694:0.359262:0.216735:0.359262:0.216735:0.342764:0.150694:0.342764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.237002:0.359262:0.245498:0.359262:0.245498:0.342764:0.237002:0.342764:0.000000 0 –4 5:@0.150694:0.380647:0.216735:0.380647:0.216735:0.364149:0.150694:0.364149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.237002:0.380647:0.245498:0.380647:0.245498:0.364149:0.237002:0.364149:0.000000 8:@0.329944:0.359262:0.338440:0.359262:0.338440:0.342764:0.329944:0.342764:0.000000 7:@0.358707:0.359262:0.367203:0.359262:0.367203:0.342764:0.358707:0.342764:0.000000 4:@0.387470:0.359262:0.395966:0.359262:0.395966:0.342764:0.387470:0.342764:0.000000 –1 6:@0.324685:0.380647:0.367203:0.380647:0.367203:0.364149:0.324685:0.364149:0.000000:0.000000:0.000000:0.000000 5:@0.387470:0.380647:0.395966:0.380647:0.395966:0.364149:0.387470:0.364149:0.000000 1 –2 4:@0.213127:0.582724:0.279168:0.582724:0.279168:0.566227:0.213127:0.566227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.213127:0.604109:0.221622:0.604109:0.221622:0.587612:0.213127:0.587612:0.000000 5:@0.241890:0.604109:0.250386:0.604109:0.250386:0.587612:0.241890:0.587612:0.000000 2:@0.270653:0.604109:0.279149:0.604109:0.279149:0.587612:0.270653:0.587612:0.000000 1:@0.203951:0.633568:0.212447:0.633568:0.212447:0.617071:0.203951:0.617071:0.000000 1:@0.232714:0.633568:0.241210:0.633568:0.241210:0.617071:0.232714:0.617071:0.000000 6:@0.261477:0.633568:0.269973:0.633568:0.269973:0.617071:0.261477:0.617071:0.000000 1:@0.203932:0.654953:0.212428:0.654953:0.212428:0.638456:0.203932:0.638456:0.000000 9:@0.232695:0.654953:0.241191:0.654953:0.241191:0.638456:0.232695:0.638456:0.000000 4:@0.261458:0.654953:0.269954:0.654953:0.269954:0.638456:0.261458:0.638456:0.000000 4 –2 3:@0.214802:0.685979:0.280843:0.685979:0.280843:0.669481:0.214802:0.669481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –1 –7 –2:@0.209562:0.707364:0.286083:0.707364:0.286083:0.690866:0.209562:0.690866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –7 3:@0.400688:0.673406:0.443206:0.673406:0.443206:0.656908:0.400688:0.656908:0.000000:0.000000:0.000000:0.000000 1:@0.405947:0.694791:0.414443:0.694791:0.414443:0.678293:0.405947:0.678293:0.000000 8:@0.434710:0.694791:0.443206:0.694791:0.443206:0.678293:0.434710:0.678293:0.000000 0:@0.405947:0.716176:0.414443:0.716176:0.414443:0.699678:0.405947:0.699678:0.000000 6:@0.434710:0.716176:0.443206:0.716176:0.443206:0.699678:0.434710:0.699678:0.000000 0:@0.351175:0.582724:0.359671:0.582724:0.359671:0.566227:0.351175:0.566227:0.000000 3:@0.379938:0.582724:0.388434:0.582724:0.388434:0.566227:0.379938:0.566227:0.000000 2:@0.408701:0.582724:0.417197:0.582724:0.417197:0.566227:0.408701:0.566227:0.000000 –1 4:@0.345915:0.604109:0.388434:0.604109:0.388434:0.587612:0.345915:0.587612:0.000000:0.000000:0.000000:0.000000 2:@0.408701:0.604109:0.417197:0.604109:0.417197:0.587612:0.408701:0.587612:0.000000 2×4:@0.260603:0.383313:0.276810:0.383313:0.276810:0.373695:0.260603:0.373695:0.000000:0.000000:0.000000 2×3:@0.411365:0.383313:0.427572:0.383313:0.427572:0.373695:0.411365:0.373695:0.000000:0.000000:0.000000 ∑:@0.162047:0.859467:0.177425:0.859467:0.177425:0.833645:0.162047:0.833645:0.000000 p:@0.167481:0.838843:0.172884:0.838843:0.172884:0.829241:0.167481:0.829241:0.000000 k:@0.162180:0.865160:0.166987:0.865160:0.166987:0.855558:0.162180:0.855558:0.000000 =1:@0.166987:0.865092:0.178241:0.865092:0.178241:0.855474:0.166987:0.855474:0.000000:0.000000 2:@0.117828:0.917943:0.126324:0.917943:0.126324:0.901446:0.117828:0.901446:0.000000 1 –1:@0.146591:0.917943:0.189109:0.917943:0.189109:0.901446:0.146591:0.901446:0.000000:0.000000:0.000000:0.000000 2:@0.117828:0.939328:0.126324:0.939328:0.126324:0.922830:0.117828:0.922830:0.000000 3:@0.146591:0.939328:0.155087:0.939328:0.155087:0.922830:0.146591:0.922830:0.000000 0:@0.175354:0.939328:0.183850:0.939328:0.183850:0.922830:0.175354:0.922830:0.000000 5:@0.369113:0.917943:0.377609:0.917943:0.377609:0.901446:0.369113:0.901446:0.000000 1:@0.397876:0.917943:0.406372:0.917943:0.406372:0.901446:0.397876:0.901446:0.000000 –2 3:@0.363854:0.939328:0.406372:0.939328:0.406372:0.922830:0.363854:0.922830:0.000000:0.000000:0.000000:0.000000 1, 8:@0.427346:0.929259:0.461234:0.929259:0.461234:0.912761:0.427346:0.912761:0.000000:0.000000:0.000000:0.000000 2×3:@0.199244:0.941995:0.215451:0.941995:0.215451:0.932377:0.199244:0.932377:0.000000:0.000000:0.000000 3×1:@0.256199:0.953299:0.272407:0.953299:0.272407:0.943681:0.256199:0.943681:0.000000:0.000000:0.000000 2×1:@0.324600:0.940629:0.340807:0.940629:0.340807:0.931011:0.324600:0.931011:0.000000:0.000000:0.000000 –2:@0.226518:0.909188:0.245514:0.909188:0.245514:0.892690:0.226518:0.892690:0.000000:0.000000 1:@0.231778:0.930572:0.240274:0.930572:0.240274:0.914075:0.231778:0.914075:0.000000 2:@0.231778:0.951957:0.240274:0.951957:0.240274:0.935460:0.231778:0.935460:0.000000 –5:@0.294915:0.917943:0.313911:0.917943:0.313911:0.901446:0.294915:0.901446:0.000000:0.000000 –1:@0.294915:0.939328:0.313911:0.939328:0.313911:0.922830:0.294915:0.922830:0.000000:0.000000 , , = 1, …, ; = 1, …, .:@0.319588:0.196646:0.545520:0.196646:0.545520:0.180149:0.319588:0.180149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.326485:0.196762:0.339605:0.196762:0.339605:0.180293:0.326485:0.180293:0.000000:0.000000 ij:@0.339488:0.199992:0.343925:0.199992:0.343925:0.190390:0.339488:0.190390:0.000000:0.000000 :@0.348067:0.196128:0.362720:0.196128:0.362720:0.182754:0.348067:0.182754:0.000000 R:@0.366862:0.195559:0.380166:0.195559:0.380166:0.182697:0.366862:0.182697:0.000000 i:@0.387063:0.196762:0.390859:0.196762:0.390859:0.180293:0.387063:0.180293:0.000000 m j:@0.447286:0.196762:0.476974:0.196762:0.476974:0.180293:0.447286:0.180293:0.000000:0.000000:0.000000 n:@0.533402:0.196762:0.542765:0.196762:0.542765:0.180293:0.533402:0.180293:0.000000 ∑:@0.726321:0.422262:0.740362:0.422262:0.740362:0.398686:0.726321:0.398686:0.000000 p:@0.731087:0.402153:0.736020:0.402153:0.736020:0.393386:0.731087:0.393386:0.000000 k:@0.726483:0.427636:0.730872:0.427636:0.730872:0.418870:0.726483:0.418870:0.000000 =1:@0.730872:0.427574:0.741147:0.427574:0.741147:0.418793:0.730872:0.418793:0.000000:0.000000 Competencia :@0.684804:0.839351:0.782426:0.839351:0.782426:0.823879:0.684804:0.823879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 socioemocional:@0.684804:0.851919:0.795179:0.851919:0.795179:0.836447:0.684804:0.836447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Escribe:@0.685042:0.876592:0.733168:0.876592:0.733168:0.861330:0.685042:0.861330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una reflexión :@0.733168:0.876393:0.825514:0.876393:0.825514:0.861330:0.733168:0.861330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sobre este refrán: \No hagas a :@0.638498:0.892235:0.831742:0.892235:0.831742:0.877172:0.638498:0.877172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 otros lo que no quieres que te :@0.638498:0.908077:0.836490:0.908077:0.836490:0.893014:0.638498:0.893014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 hagan a ti\:@0.638498:0.923919:0.706132:0.923919:0.706132:0.908856:0.638498:0.908856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000 maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000