75:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.1 Sistemas de ecuaciones lineales:@0.073089:0.219628:0.349895:0.219628:0.349895:0.202681:0.073089:0.202681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera la matriz real de 3 × 3; y los vectores de  .:@0.073089:0.246990:0.457485:0.246991:0.457485:0.230557:0.073089:0.230556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.435896:0.247572:0.449186:0.247572:0.449186:0.229918:0.435896:0.229918:0.000000
3:@0.449091:0.240927:0.454328:0.240927:0.454328:0.231346:0.449091:0.231346:0.000000
B :@0.073086:0.289969:0.085161:0.289969:0.085161:0.273563:0.073086:0.273563:0.000000:0.000000
= :@0.085106:0.289969:0.100034:0.289969:0.100034:0.273535:0.085106:0.273535:0.000000:0.000000
b:@0.104169:0.269367:0.112587:0.269367:0.112587:0.254452:0.104169:0.254452:0.000000
11:@0.112526:0.272251:0.122009:0.272251:0.122009:0.263541:0.112526:0.263541:0.000000:0.000000
b:@0.142117:0.269367:0.150534:0.269367:0.150534:0.254452:0.142117:0.254452:0.000000
12:@0.150473:0.272251:0.159956:0.272251:0.159956:0.263541:0.150473:0.263541:0.000000:0.000000
b:@0.180066:0.269367:0.188483:0.269367:0.188483:0.254452:0.180066:0.254452:0.000000
13:@0.188423:0.272251:0.197905:0.272251:0.197905:0.263541:0.188423:0.263541:0.000000:0.000000
b:@0.104169:0.290808:0.112587:0.290808:0.112587:0.275894:0.104169:0.275894:0.000000
21:@0.112526:0.293692:0.122009:0.293692:0.122009:0.284983:0.112526:0.284983:0.000000:0.000000
b:@0.142117:0.290808:0.150534:0.290808:0.150534:0.275894:0.142117:0.275894:0.000000
22:@0.150473:0.293692:0.159956:0.293692:0.159956:0.284983:0.150473:0.284983:0.000000:0.000000
b:@0.180066:0.290808:0.188483:0.290808:0.188483:0.275894:0.180066:0.275894:0.000000
23:@0.188423:0.293692:0.197905:0.293692:0.197905:0.284983:0.188423:0.284983:0.000000:0.000000
b:@0.104169:0.312251:0.112587:0.312251:0.112587:0.297337:0.104169:0.297337:0.000000
31:@0.112526:0.315135:0.122009:0.315135:0.122009:0.306425:0.112526:0.306425:0.000000:0.000000
b:@0.142117:0.312251:0.150534:0.312251:0.150534:0.297337:0.142117:0.297337:0.000000
32:@0.150473:0.315135:0.159956:0.315135:0.159956:0.306425:0.150473:0.306425:0.000000:0.000000
b:@0.180066:0.312251:0.188483:0.312251:0.188483:0.297337:0.180066:0.297337:0.000000
33:@0.188423:0.315135:0.197905:0.315135:0.197905:0.306425:0.188423:0.306425:0.000000:0.000000
1:@0.323734:0.293143:0.328971:0.293143:0.328971:0.283561:0.323734:0.283561:0.000000
 = :@0.328925:0.289970:0.347811:0.289970:0.347811:0.273536:0.328925:0.273536:0.000000:0.000000:0.000000
1:@0.354971:0.268473:0.363137:0.268473:0.363137:0.253533:0.354971:0.253533:0.000000
0:@0.354971:0.289918:0.363137:0.289918:0.363137:0.274979:0.354971:0.274979:0.000000
0:@0.354971:0.311364:0.363137:0.311364:0.363137:0.296424:0.354971:0.296424:0.000000
,     = :@0.370197:0.289970:0.418925:0.289970:0.418925:0.273536:0.370197:0.273536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.394850:0.293143:0.400087:0.293143:0.400087:0.283561:0.394850:0.283561:0.000000
0:@0.426087:0.268473:0.434253:0.268473:0.434253:0.253533:0.426087:0.253533:0.000000
1:@0.426087:0.289918:0.434253:0.289918:0.434253:0.274979:0.426087:0.274979:0.000000
0:@0.426087:0.311364:0.434253:0.311364:0.434253:0.296424:0.426087:0.296424:0.000000
 ,    = :@0.441313:0.289970:0.490040:0.289970:0.490040:0.273536:0.441313:0.273536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.465965:0.293143:0.471202:0.293143:0.471202:0.283561:0.465965:0.283561:0.000000
0:@0.497203:0.269367:0.505369:0.269367:0.505369:0.254427:0.497203:0.254427:0.000000
0:@0.497203:0.290812:0.505369:0.290812:0.505369:0.275872:0.497203:0.275872:0.000000
1:@0.497203:0.312258:0.505369:0.312258:0.505369:0.297318:0.497203:0.297318:0.000000
.:@0.512429:0.289970:0.515632:0.289970:0.515632:0.273536:0.512429:0.273536:0.000000
Observa los siguientes productos::@0.073089:0.344697:0.317649:0.344697:0.317649:0.328263:0.073089:0.328263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.073089:0.387674:0.081924:0.387674:0.081924:0.371268:0.073089:0.371268:0.000000
1:@0.091536:0.390848:0.096773:0.390848:0.096773:0.381267:0.091536:0.381267:0.000000
 = :@0.096726:0.387675:0.115612:0.387675:0.115612:0.371241:0.096726:0.371241:0.000000:0.000000:0.000000
b:@0.119741:0.367071:0.128158:0.367071:0.128158:0.352156:0.119741:0.352156:0.000000
11:@0.128098:0.369955:0.137581:0.369955:0.137581:0.361245:0.128098:0.361245:0.000000:0.000000
b:@0.157689:0.367071:0.166106:0.367071:0.166106:0.352156:0.157689:0.352156:0.000000
12:@0.166046:0.369955:0.175529:0.369955:0.175529:0.361245:0.166046:0.361245:0.000000:0.000000
b:@0.195636:0.367071:0.204054:0.367071:0.204054:0.352156:0.195636:0.352156:0.000000
13:@0.203993:0.369955:0.213476:0.369955:0.213476:0.361245:0.203993:0.361245:0.000000:0.000000
b:@0.119741:0.388514:0.128158:0.388514:0.128158:0.373599:0.119741:0.373599:0.000000
21:@0.128098:0.391398:0.137581:0.391398:0.137581:0.382688:0.128098:0.382688:0.000000:0.000000
b:@0.157689:0.388514:0.166106:0.388514:0.166106:0.373599:0.157689:0.373599:0.000000
22:@0.166046:0.391398:0.175529:0.391398:0.175529:0.382688:0.166046:0.382688:0.000000:0.000000
b:@0.195636:0.388514:0.204054:0.388514:0.204054:0.373599:0.195636:0.373599:0.000000
23:@0.203993:0.391398:0.213476:0.391398:0.213476:0.382688:0.203993:0.382688:0.000000:0.000000
b:@0.119741:0.409956:0.128158:0.409956:0.128158:0.395042:0.119741:0.395042:0.000000
31:@0.128098:0.412840:0.137581:0.412840:0.137581:0.404130:0.128098:0.404130:0.000000:0.000000
b:@0.157689:0.409956:0.166106:0.409956:0.166106:0.395042:0.157689:0.395042:0.000000
32:@0.166046:0.412840:0.175529:0.412840:0.175529:0.404130:0.166046:0.404130:0.000000:0.000000
b:@0.195636:0.409956:0.204054:0.409956:0.204054:0.395042:0.195636:0.395042:0.000000
33:@0.203993:0.412840:0.213476:0.412840:0.213476:0.404130:0.203993:0.404130:0.000000:0.000000
1:@0.234590:0.368857:0.242756:0.368857:0.242756:0.353918:0.234590:0.353918:0.000000
0:@0.234590:0.390303:0.242756:0.390303:0.242756:0.375363:0.234590:0.375363:0.000000
0:@0.234590:0.411748:0.242756:0.411748:0.242756:0.396808:0.234590:0.396808:0.000000
 =  :@0.249816:0.387675:0.272659:0.387675:0.272659:0.371241:0.249816:0.371241:0.000000:0.000000:0.000000:0.000000
b:@0.277967:0.366177:0.286384:0.366177:0.286384:0.351262:0.277967:0.351262:0.000000
11:@0.286324:0.369061:0.295807:0.369061:0.295807:0.360351:0.286324:0.360351:0.000000:0.000000
b:@0.277967:0.387620:0.286384:0.387620:0.286384:0.372705:0.277967:0.372705:0.000000
21:@0.286324:0.390504:0.295807:0.390504:0.295807:0.381794:0.286324:0.381794:0.000000:0.000000
b:@0.277967:0.409063:0.286384:0.409063:0.286384:0.394148:0.277967:0.394148:0.000000
31:@0.286324:0.411947:0.295807:0.411947:0.295807:0.403237:0.286324:0.403237:0.000000:0.000000
,  :@0.303975:0.387675:0.315093:0.387675:0.315093:0.371241:0.303975:0.371241:0.000000:0.000000:0.000000
B:@0.314997:0.387675:0.323833:0.387675:0.323833:0.371269:0.314997:0.371269:0.000000
2:@0.333445:0.390848:0.338682:0.390848:0.338682:0.381267:0.333445:0.381267:0.000000
 = :@0.338636:0.387675:0.357522:0.387675:0.357522:0.371241:0.338636:0.371241:0.000000:0.000000:0.000000
b:@0.362836:0.367071:0.371253:0.367071:0.371253:0.352156:0.362836:0.352156:0.000000
12:@0.371193:0.369955:0.380676:0.369955:0.380676:0.361245:0.371193:0.361245:0.000000:0.000000
b:@0.362836:0.388514:0.371253:0.388514:0.371253:0.373599:0.362836:0.373599:0.000000
22:@0.371193:0.391398:0.380676:0.391398:0.380676:0.382688:0.371193:0.382688:0.000000:0.000000
b:@0.362836:0.409956:0.371253:0.409956:0.371253:0.395042:0.362836:0.395042:0.000000
32:@0.371193:0.412840:0.380676:0.412840:0.380676:0.404130:0.371193:0.404130:0.000000:0.000000
 ,    :@0.388844:0.387675:0.411835:0.387675:0.411835:0.371241:0.388844:0.371241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.411719:0.387675:0.420555:0.387675:0.420555:0.371269:0.411719:0.371269:0.000000
3:@0.430167:0.390848:0.435404:0.390848:0.435404:0.381267:0.430167:0.381267:0.000000
 = :@0.435356:0.387675:0.454242:0.387675:0.454242:0.371241:0.435356:0.371241:0.000000:0.000000:0.000000
b:@0.459556:0.367071:0.467973:0.367071:0.467973:0.352156:0.459556:0.352156:0.000000
13:@0.467913:0.369955:0.477396:0.369955:0.477396:0.361245:0.467913:0.361245:0.000000:0.000000
b:@0.459556:0.388514:0.467973:0.388514:0.467973:0.373599:0.459556:0.373599:0.000000
23:@0.467913:0.391398:0.477396:0.391398:0.477396:0.382688:0.467913:0.382688:0.000000:0.000000
b:@0.459556:0.409956:0.467973:0.409956:0.467973:0.395042:0.459556:0.395042:0.000000
33:@0.467913:0.412840:0.477396:0.412840:0.477396:0.404130:0.467913:0.404130:0.000000:0.000000
.:@0.485566:0.387675:0.488769:0.387675:0.488769:0.371241:0.485566:0.371241:0.000000
Los resultados muestran que :@0.073089:0.442402:0.291909:0.442402:0.291909:0.425968:0.073089:0.425968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.292632:0.442402:0.301468:0.442402:0.301468:0.425996:0.292632:0.425996:0.000000
1:@0.311326:0.445574:0.316563:0.445574:0.316563:0.435993:0.311326:0.435993:0.000000
, :@0.316601:0.442402:0.323908:0.442402:0.323908:0.425968:0.316601:0.425968:0.000000:0.000000
B:@0.324700:0.442402:0.333535:0.442402:0.333535:0.425996:0.324700:0.425996:0.000000
2:@0.343385:0.445574:0.348622:0.445574:0.348622:0.435993:0.343385:0.435993:0.000000
, :@0.348659:0.442402:0.355967:0.442402:0.355967:0.425968:0.348659:0.425968:0.000000:0.000000
B:@0.356759:0.442402:0.365594:0.442402:0.365594:0.425996:0.356759:0.425996:0.000000
3:@0.375444:0.445574:0.380680:0.445574:0.380680:0.435993:0.375444:0.435993:0.000000
 son respectivamente la primera, segunda y :@0.380718:0.442402:0.710451:0.442402:0.710451:0.425968:0.380718:0.425968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tercera columnas de  . Aplicaremos estos resultados para el cálculo de la matriz inversa :@0.073096:0.459044:0.710790:0.459044:0.710790:0.442610:0.073096:0.442610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.225950:0.459044:0.234785:0.459044:0.234785:0.442637:0.225950:0.442637:0.000000
A:@0.073078:0.475685:0.082962:0.475685:0.082962:0.459279:0.073078:0.459279:0.000000
–1:@0.082907:0.469621:0.093467:0.469621:0.093467:0.460041:0.082907:0.460041:0.000000:0.000000
 de la matriz :@0.093416:0.475685:0.185721:0.475685:0.185721:0.459252:0.093416:0.459252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
invertible:@0.185563:0.475685:0.261596:0.475685:0.261596:0.458738:0.185563:0.458738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  .:@0.261511:0.475685:0.278483:0.475685:0.278483:0.459252:0.261511:0.459252:0.000000:0.000000:0.000000
A:@0.265469:0.475685:0.275353:0.475685:0.275353:0.459279:0.265469:0.459279:0.000000
Considera el sistema de ecuaciones lineales :@0.073094:0.504087:0.384291:0.504087:0.384291:0.487654:0.073094:0.487654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.383514:0.504087:0.393399:0.504087:0.393399:0.487681:0.383514:0.487681:0.000000
 =   siendo   una matriz de 3 × 3 invertible, :@0.402824:0.504086:0.710398:0.504086:0.710398:0.487652:0.402824:0.487652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.484438:0.504086:0.494322:0.504086:0.494322:0.487680:0.484438:0.487680:0.000000
     dado,   el vector de incógnitas.:@0.082767:0.521766:0.351941:0.521766:0.351941:0.505332:0.082767:0.505332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.086725:0.521350:0.099849:0.521350:0.099849:0.504361:0.086725:0.504361:0.000000
ℝ:@0.103715:0.522348:0.117005:0.522348:0.117005:0.504694:0.103715:0.504694:0.000000
3:@0.116897:0.515703:0.122133:0.515703:0.122133:0.506122:0.116897:0.506122:0.000000
Por hipótesis   invertible, existe :@0.073089:0.549128:0.330524:0.549128:0.330524:0.532694:0.073089:0.532694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.181457:0.549128:0.191341:0.549128:0.191341:0.532722:0.181457:0.532722:0.000000
A:@0.333377:0.549128:0.343262:0.549128:0.343262:0.532722:0.333377:0.532722:0.000000
–1:@0.343592:0.543065:0.354431:0.543065:0.354431:0.533484:0.343592:0.533484:0.000000:0.000000
 matriz inversa de   tal que :@0.354670:0.549129:0.581540:0.549129:0.581540:0.532695:0.354670:0.532695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.504474:0.549129:0.514359:0.549129:0.514359:0.532723:0.504474:0.532723:0.000000
AA:@0.584374:0.549129:0.604365:0.549129:0.604365:0.532723:0.584374:0.532723:0.000000:0.000000
–1:@0.604713:0.543065:0.615551:0.543065:0.615551:0.533484:0.604713:0.533484:0.000000:0.000000
 = :@0.615790:0.549129:0.638082:0.549129:0.638082:0.532695:0.615790:0.532695:0.000000:0.000000:0.000000
A A:@0.640916:0.549129:0.672103:0.549129:0.672103:0.532723:0.640916:0.532723:0.000000:0.000000:0.000000
–1:@0.651141:0.543065:0.661979:0.543065:0.661979:0.533484:0.651141:0.533484:0.000000:0.000000
 =  . :@0.672435:0.549129:0.710372:0.549129:0.710372:0.532695:0.672435:0.532695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicando al sistema de ecuaciones lineales :@0.073089:0.566810:0.425047:0.566810:0.425047:0.550376:0.073089:0.550376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.425183:0.566810:0.435067:0.566810:0.435067:0.550403:0.425183:0.550403:0.000000
 =   por :@0.444794:0.566810:0.508191:0.566810:0.508191:0.550376:0.444794:0.550376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.508568:0.566810:0.518453:0.566810:0.518453:0.550403:0.508568:0.550403:0.000000
–1:@0.518443:0.560746:0.529045:0.560746:0.529045:0.551165:0.518443:0.551165:0.000000:0.000000
, se tienen las siguientes :@0.529037:0.566810:0.710505:0.566810:0.710505:0.550376:0.529037:0.550376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivalencias::@0.073089:0.583451:0.174513:0.583451:0.174513:0.567018:0.073089:0.567018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A A:@0.214844:0.601133:0.249866:0.601131:0.249866:0.584725:0.214844:0.584727:0.000000:0.000000:0.000000
–1:@0.224670:0.595067:0.235229:0.595067:0.235229:0.585486:0.224670:0.585486:0.000000:0.000000
(:@0.235177:0.601131:0.240055:0.601131:0.240055:0.584697:0.235177:0.584697:0.000000
) = :@0.259471:0.601131:0.283161:0.601131:0.283161:0.584697:0.259471:0.584697:0.000000:0.000000:0.000000:0.000000
A:@0.283051:0.601131:0.292936:0.601131:0.292936:0.584725:0.283051:0.584725:0.000000
–1:@0.292879:0.595067:0.303438:0.595067:0.303438:0.585486:0.292879:0.585486:0.000000:0.000000
    :@0.303388:0.601131:0.325004:0.601131:0.325004:0.584697:0.303388:0.584697:0.000000:0.000000:0.000000:0.000000
⇔:@0.324912:0.600715:0.344093:0.600715:0.344093:0.583726:0.324912:0.583726:0.000000
  (:@0.344001:0.601131:0.356794:0.601131:0.356794:0.584697:0.344001:0.584697:0.000000:0.000000:0.000000
A A:@0.356702:0.601131:0.386916:0.601131:0.386916:0.584725:0.356702:0.584725:0.000000:0.000000:0.000000
–1:@0.366523:0.595067:0.377082:0.595067:0.377082:0.585486:0.366523:0.585486:0.000000:0.000000
)  = :@0.386843:0.601131:0.420210:0.601131:0.420210:0.584697:0.386843:0.584697:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.420118:0.601131:0.430003:0.601131:0.430003:0.584725:0.420118:0.584725:0.000000
–1:@0.429934:0.595067:0.440494:0.595067:0.440494:0.585486:0.429934:0.585486:0.000000:0.000000
    :@0.440443:0.601131:0.462061:0.601131:0.462061:0.584697:0.440443:0.584697:0.000000:0.000000:0.000000:0.000000
⇔ Ι:@0.461969:0.600715:0.495084:0.600715:0.495084:0.583726:0.461969:0.583726:0.000000:0.000000:0.000000
      = :@0.481058:0.601131:0.527514:0.601131:0.527514:0.584697:0.481058:0.584697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.527422:0.601131:0.537307:0.601131:0.537307:0.584725:0.527422:0.584725:0.000000
–1:@0.537238:0.595067:0.547798:0.595067:0.547798:0.585486:0.537238:0.585486:0.000000:0.000000
  .:@0.547747:0.601131:0.564580:0.601131:0.564580:0.584697:0.547747:0.584697:0.000000:0.000000:0.000000
Así,   = :@0.073088:0.625955:0.129817:0.625959:0.129817:0.609525:0.073088:0.609521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.129725:0.625959:0.139610:0.625959:0.139610:0.609553:0.129725:0.609553:0.000000
–1:@0.139541:0.619895:0.150101:0.619895:0.150101:0.610314:0.139541:0.610314:0.000000:0.000000
  .:@0.150048:0.625959:0.166881:0.625959:0.166881:0.609525:0.150048:0.609525:0.000000:0.000000:0.000000
Ponemos   = :@0.073096:0.649743:0.173213:0.649743:0.173213:0.633309:0.073096:0.633309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.145565:0.649743:0.154401:0.649743:0.154401:0.633337:0.145565:0.633337:0.000000
A:@0.173121:0.649743:0.183006:0.649743:0.183006:0.633337:0.173121:0.633337:0.000000
–1:@0.182935:0.643685:0.193495:0.643685:0.193495:0.634104:0.182935:0.634104:0.000000:0.000000
. Entonces,:@0.193443:0.649749:0.270611:0.649749:0.270611:0.633315:0.193443:0.633315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.073096:0.690050:0.082981:0.690050:0.082981:0.673644:0.073096:0.673644:0.000000
–1:@0.082907:0.683982:0.093467:0.683982:0.093467:0.674401:0.082907:0.674401:0.000000:0.000000
1  = :@0.093415:0.690046:0.136071:0.690046:0.136071:0.673612:0.093415:0.673612:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.111996:0.693218:0.117233:0.693218:0.117233:0.683637:0.111996:0.683637:0.000000
B:@0.135979:0.690046:0.144815:0.690046:0.144815:0.673640:0.135979:0.673640:0.000000
1:@0.154424:0.693218:0.159661:0.693218:0.159661:0.683637:0.154424:0.683637:0.000000
 = :@0.159613:0.690046:0.178499:0.690046:0.178499:0.673612:0.159613:0.673612:0.000000:0.000000:0.000000
b:@0.183814:0.669443:0.192231:0.669443:0.192231:0.654528:0.183814:0.654528:0.000000
11:@0.192171:0.672327:0.201654:0.672327:0.201654:0.663617:0.192171:0.663617:0.000000:0.000000
b:@0.183814:0.690886:0.192231:0.690886:0.192231:0.675971:0.183814:0.675971:0.000000
21:@0.192171:0.693770:0.201654:0.693770:0.201654:0.685060:0.192171:0.685060:0.000000:0.000000
b:@0.183814:0.712328:0.192231:0.712328:0.192231:0.697414:0.183814:0.697414:0.000000
31:@0.192171:0.715212:0.201654:0.715212:0.201654:0.706502:0.192171:0.706502:0.000000:0.000000
 ,  :@0.209823:0.690046:0.224899:0.690046:0.224899:0.673612:0.209823:0.673612:0.000000:0.000000:0.000000:0.000000
A:@0.224797:0.690046:0.234682:0.690046:0.234682:0.673640:0.224797:0.673640:0.000000
–1:@0.234615:0.683982:0.245174:0.683982:0.245174:0.674401:0.234615:0.674401:0.000000:0.000000
2:@0.254802:0.693218:0.260039:0.693218:0.260039:0.683637:0.254802:0.683637:0.000000
 = :@0.259992:0.690046:0.278877:0.690046:0.278877:0.673612:0.259992:0.673612:0.000000:0.000000:0.000000
B:@0.278785:0.690046:0.287621:0.690046:0.287621:0.673640:0.278785:0.673640:0.000000
2:@0.297229:0.693218:0.302466:0.693218:0.302466:0.683637:0.297229:0.683637:0.000000
 = :@0.302420:0.690046:0.321306:0.690046:0.321306:0.673612:0.302420:0.673612:0.000000:0.000000:0.000000
b:@0.326621:0.669443:0.335038:0.669443:0.335038:0.654528:0.326621:0.654528:0.000000
12:@0.334978:0.672327:0.344460:0.672327:0.344460:0.663617:0.334978:0.663617:0.000000:0.000000
b:@0.326621:0.690886:0.335038:0.690886:0.335038:0.675971:0.326621:0.675971:0.000000
22:@0.334978:0.693770:0.344460:0.693770:0.344460:0.685060:0.334978:0.685060:0.000000:0.000000
b:@0.326621:0.712328:0.335038:0.712328:0.335038:0.697414:0.326621:0.697414:0.000000
32:@0.334978:0.715212:0.344460:0.715212:0.344460:0.706502:0.334978:0.706502:0.000000:0.000000
 ,  :@0.352629:0.690046:0.367704:0.690046:0.367704:0.673612:0.352629:0.673612:0.000000:0.000000:0.000000:0.000000
A:@0.367602:0.690046:0.377487:0.690046:0.377487:0.673640:0.367602:0.673640:0.000000
–1:@0.377421:0.683982:0.387981:0.683982:0.387981:0.674401:0.377421:0.674401:0.000000:0.000000
3:@0.397608:0.693218:0.402844:0.693218:0.402844:0.683637:0.397608:0.683637:0.000000
 = :@0.402797:0.690046:0.421683:0.690046:0.421683:0.673612:0.402797:0.673612:0.000000:0.000000:0.000000
B:@0.421591:0.690046:0.430426:0.690046:0.430426:0.673640:0.421591:0.673640:0.000000
3:@0.440036:0.693218:0.445273:0.693218:0.445273:0.683637:0.440036:0.683637:0.000000
 = :@0.445225:0.690046:0.464111:0.690046:0.464111:0.673612:0.445225:0.673612:0.000000:0.000000:0.000000
b:@0.469426:0.667655:0.477843:0.667655:0.477843:0.652741:0.469426:0.652741:0.000000
13:@0.477783:0.670539:0.487266:0.670539:0.487266:0.661829:0.477783:0.661829:0.000000:0.000000
b:@0.469426:0.689098:0.477843:0.689098:0.477843:0.674183:0.469426:0.674183:0.000000
23:@0.477783:0.691982:0.487266:0.691982:0.487266:0.683272:0.477783:0.683272:0.000000:0.000000
b:@0.469426:0.710541:0.477843:0.710541:0.477843:0.695626:0.469426:0.695626:0.000000
33:@0.477783:0.713425:0.487266:0.713425:0.487266:0.704715:0.477783:0.704715:0.000000:0.000000
.:@0.495435:0.690046:0.498638:0.690046:0.498638:0.673612:0.495435:0.673612:0.000000
Esto muestra que las columnas primera, segunda y tercera de :@0.073089:0.735279:0.527540:0.735279:0.527540:0.718845:0.073089:0.718845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.528061:0.735279:0.537946:0.735279:0.537946:0.718873:0.528061:0.718873:0.000000
–1:@0.537918:0.729215:0.548499:0.729215:0.548499:0.719634:0.537918:0.719634:0.000000:0.000000
 son respectivamente :@0.548480:0.735279:0.710324:0.735279:0.710324:0.718845:0.548480:0.718845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones de los sistemas de ecuaciones lineales::@0.073094:0.751921:0.432912:0.751921:0.432912:0.735487:0.073094:0.735487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285625:0.768563:0.295509:0.768563:0.295509:0.752157:0.285625:0.752157:0.000000
1:@0.305118:0.762499:0.310355:0.762499:0.310355:0.752918:0.305118:0.752918:0.000000
 =  ,   :@0.310309:0.768562:0.359043:0.768562:0.359043:0.752128:0.310309:0.752128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.338778:0.771734:0.344015:0.771734:0.344015:0.762153:0.338778:0.762153:0.000000
A:@0.358932:0.768562:0.368817:0.768562:0.368817:0.752155:0.358932:0.752155:0.000000
2:@0.378437:0.771734:0.383674:0.771734:0.383674:0.762153:0.378437:0.762153:0.000000
 =  ,  :@0.383626:0.768562:0.428405:0.768562:0.428405:0.752128:0.383626:0.752128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.412096:0.771734:0.417333:0.771734:0.417333:0.762153:0.412096:0.762153:0.000000
A:@0.428313:0.768562:0.438197:0.768562:0.438197:0.752155:0.428313:0.752155:0.000000
3:@0.447806:0.771734:0.453043:0.771734:0.453043:0.762153:0.447806:0.762153:0.000000
 =   . :@0.452995:0.768562:0.497845:0.768562:0.497845:0.752128:0.452995:0.752128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.481464:0.771734:0.486701:0.771734:0.486701:0.762153:0.481464:0.762153:0.000000
Para calcular :@0.073079:0.795923:0.168790:0.795923:0.168790:0.779490:0.073079:0.779490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.169184:0.795923:0.179068:0.795923:0.179068:0.779517:0.169184:0.779517:0.000000
–1 :@0.179093:0.789861:0.192068:0.789861:0.192068:0.780280:0.179093:0.780280:0.000000:0.000000:0.000000
resolvemos los tres sistemas de ecuaciones lineales con el método de :@0.192333:0.795925:0.710739:0.795925:0.710739:0.779491:0.192333:0.779491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eliminación gaussiana que se tratará en la sección 7.5.:@0.073091:0.812567:0.462128:0.812567:0.462128:0.796133:0.073091:0.796133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio 1:@0.073091:0.843506:0.150236:0.843506:0.150236:0.826837:0.073091:0.826837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea    = :@0.073091:0.883807:0.135363:0.883807:0.135363:0.867374:0.073091:0.867374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.102708:0.883807:0.112593:0.883807:0.112593:0.867401:0.102708:0.867401:0.000000
2:@0.144903:0.864986:0.153069:0.864986:0.153069:0.850046:0.144903:0.850046:0.000000
3:@0.173635:0.864986:0.181801:0.864986:0.181801:0.850046:0.173635:0.850046:0.000000
1:@0.202367:0.864986:0.210533:0.864986:0.210533:0.850046:0.202367:0.850046:0.000000
1:@0.144886:0.886431:0.153052:0.886431:0.153052:0.871491:0.144886:0.871491:0.000000
2 –1:@0.173618:0.886431:0.214683:0.886431:0.214683:0.871491:0.173618:0.871491:0.000000:0.000000:0.000000:0.000000
2:@0.144886:0.907876:0.153052:0.907876:0.153052:0.892937:0.144886:0.892937:0.000000
1:@0.173618:0.907876:0.181784:0.907876:0.181784:0.892937:0.173618:0.892937:0.000000
1:@0.202350:0.907876:0.210516:0.907876:0.210516:0.892937:0.202350:0.892937:0.000000
. :@0.221939:0.883802:0.229173:0.883802:0.229173:0.867369:0.221939:0.867369:0.000000:0.000000
Tema 7. Sistemas de ecuaciones lineales de dos o más incógnitas:@0.073089:0.096553:0.906343:0.096553:0.906343:0.069217:0.073089:0.069217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Una matriz puede escribirse como un determinante?:@0.293660:0.162066:0.683397:0.162066:0.683397:0.145632:0.293660:0.145632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué condiciones debe cumplir una matriz para que tenga inversa?:@0.293660:0.178708:0.782982:0.178708:0.782982:0.162274:0.293660:0.162274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.304294:0.139665:0.426770:0.139665:0.426770:0.124259:0.304294:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.126559:0.141809:0.133703:0.141809:0.133703:0.129149:0.126559:0.129149:0.000000
11:@0.133652:0.144257:0.141700:0.144257:0.141700:0.136864:0.133652:0.136864:0.000000:0.000000
b:@0.153211:0.141809:0.160355:0.141809:0.160355:0.129149:0.153211:0.129149:0.000000
12:@0.160305:0.144257:0.168353:0.144257:0.168353:0.136864:0.160305:0.136864:0.000000:0.000000
b:@0.177368:0.141809:0.184512:0.141809:0.184512:0.129149:0.177368:0.129149:0.000000
13:@0.184462:0.144257:0.192510:0.144257:0.192510:0.136864:0.184462:0.136864:0.000000:0.000000
b:@0.126559:0.160009:0.133703:0.160009:0.133703:0.147349:0.126559:0.147349:0.000000
21:@0.133652:0.162457:0.141700:0.162457:0.141700:0.155064:0.133652:0.155064:0.000000:0.000000
b:@0.153211:0.160009:0.160355:0.160009:0.160355:0.147349:0.153211:0.147349:0.000000
22:@0.160305:0.162457:0.168353:0.162457:0.168353:0.155064:0.160305:0.155064:0.000000:0.000000
b:@0.177368:0.160009:0.184512:0.160009:0.184512:0.147349:0.177368:0.147349:0.000000
23:@0.184462:0.162457:0.192510:0.162457:0.192510:0.155064:0.184462:0.155064:0.000000:0.000000
b:@0.126559:0.178209:0.133703:0.178209:0.133703:0.165550:0.126559:0.165550:0.000000
31:@0.133652:0.180657:0.141700:0.180657:0.141700:0.173264:0.133652:0.173264:0.000000:0.000000
b:@0.153211:0.178209:0.160355:0.178209:0.160355:0.165550:0.153211:0.165550:0.000000
32:@0.160305:0.180657:0.168353:0.180657:0.168353:0.173264:0.160305:0.173264:0.000000:0.000000
b:@0.177368:0.178209:0.184512:0.178209:0.184512:0.165550:0.177368:0.165550:0.000000
33:@0.184462:0.180657:0.192510:0.180657:0.192510:0.173264:0.184462:0.173264:0.000000:0.000000
Invertible: :@0.750877:0.731548:0.823797:0.730109:0.823270:0.714960:0.750350:0.716398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Que :@0.823696:0.730110:0.855446:0.729484:0.854927:0.714549:0.823177:0.715176:0.000000:0.000000:0.000000:0.000000
sepuede invertir.:@0.751404:0.746671:0.860748:0.744513:0.860229:0.729579:0.750885:0.731736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.803933:0.708454:0.863552:0.708454:0.863552:0.693048:0.803933:0.693048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.223524:0.848854:0.223524:0.848854:0.206577:0.740294:0.206577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.240166:0.837769:0.240166:0.837769:0.223219:0.740294:0.223219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de :@0.745080:0.262514:0.871631:0.262514:0.871631:0.245567:0.745080:0.245567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la matriz inversa :@0.745081:0.279155:0.877404:0.279155:0.877404:0.262208:0.745081:0.262208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Si   y   son inversas de:@0.745080:0.301116:0.914326:0.301116:0.914326:0.286177:0.745080:0.286177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B C:@0.778762:0.301116:0.810204:0.301116:0.810204:0.286202:0.778762:0.286202:0.000000:0.000000:0.000000
la matriz  , entonces,:@0.764052:0.316245:0.902947:0.316245:0.902947:0.301305:0.764052:0.301305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.823558:0.316245:0.832544:0.316245:0.832544:0.301331:0.823558:0.301331:0.000000
B:@0.764036:0.331374:0.772068:0.331374:0.772068:0.316460:0.764036:0.316460:0.000000
 =  ; por lo tanto,:@0.772001:0.331374:0.884826:0.331374:0.884826:0.316434:0.772001:0.316434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.789086:0.331374:0.798089:0.331374:0.798089:0.316460:0.789086:0.316460:0.000000
toda matriz tiene una y:@0.764019:0.346503:0.916317:0.346503:0.916317:0.331563:0.764019:0.331563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solamente una matriz:@0.764019:0.361632:0.907549:0.361632:0.907549:0.346692:0.764019:0.346692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversa.:@0.764019:0.376761:0.813088:0.376761:0.813088:0.361821:0.764019:0.361821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Si   y   son matrices:@0.745080:0.399038:0.897599:0.399038:0.897599:0.384099:0.745080:0.384099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.778762:0.399038:0.810188:0.399038:0.810188:0.384124:0.778762:0.384124:0.000000:0.000000:0.000000
invertibles del mismo:@0.764052:0.414167:0.905887:0.414167:0.905887:0.399228:0.764052:0.399228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tamaño, entonces   · :@0.764052:0.429296:0.905554:0.429296:0.905554:0.414356:0.764052:0.414356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.886528:0.429296:0.913503:0.429296:0.913503:0.414382:0.886528:0.414382:0.000000:0.000000:0.000000
es invertible.:@0.764052:0.444425:0.846726:0.444425:0.846726:0.429485:0.764052:0.429485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ·  )  =  :@0.764052:0.459554:0.829373:0.459554:0.829373:0.444614:0.764052:0.444614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  B:@0.768420:0.459554:0.794759:0.459554:0.794759:0.444640:0.768420:0.444640:0.000000:0.000000:0.000000:0.000000
–1:@0.799055:0.454042:0.808654:0.454042:0.808654:0.445332:0.799055:0.445332:0.000000:0.000000
B:@0.829273:0.459554:0.837305:0.459554:0.837305:0.444640:0.829273:0.444640:0.000000
–1:@0.837253:0.454042:0.846853:0.454042:0.846853:0.445332:0.837253:0.445332:0.000000:0.000000
 · :@0.846806:0.459554:0.856914:0.459554:0.856914:0.444614:0.846806:0.444614:0.000000:0.000000:0.000000
A:@0.856830:0.459554:0.865816:0.459554:0.865816:0.444640:0.856830:0.444640:0.000000
–1:@0.865753:0.454042:0.875352:0.454042:0.875352:0.445332:0.865753:0.445332:0.000000:0.000000
.:@0.875306:0.459554:0.878218:0.459554:0.878218:0.444614:0.875306:0.444614:0.000000
• Si   es una matriz:@0.745080:0.481830:0.879376:0.481830:0.879376:0.466890:0.745080:0.466890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.778762:0.481830:0.787748:0.481830:0.787748:0.466916:0.778762:0.466916:0.000000
invertible, se cumple::@0.764052:0.496959:0.903722:0.496959:0.903722:0.482019:0.764052:0.482019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.764052:0.512088:0.773039:0.512088:0.773039:0.497174:0.764052:0.497174:0.000000
–1 es invertible y:@0.772972:0.512088:0.883864:0.512088:0.883864:0.497148:0.772972:0.497148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.764052:0.527217:0.768487:0.527217:0.768487:0.512277:0.764052:0.512277:0.000000
A:@0.768420:0.527217:0.777406:0.527217:0.777406:0.512302:0.768420:0.512302:0.000000
–1 –1:@0.777339:0.521704:0.800853:0.521704:0.800853:0.512995:0.777339:0.512995:0.000000:0.000000:0.000000:0.000000:0.000000
)  =  .:@0.786893:0.527217:0.829723:0.527217:0.829723:0.512277:0.786893:0.512277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.817892:0.527217:0.826878:0.527217:0.826878:0.512302:0.817892:0.512302:0.000000
•:@0.745080:0.549493:0.749213:0.549493:0.749213:0.534553:0.745080:0.534553:0.000000
A:@0.764052:0.549493:0.773039:0.549493:0.773039:0.534579:0.764052:0.534579:0.000000
n:@0.772978:0.543981:0.778207:0.543981:0.778207:0.535271:0.772978:0.535271:0.000000
 es invertible y:@0.778164:0.549493:0.872657:0.549493:0.872657:0.534553:0.778164:0.534553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  = (:@0.764052:0.564622:0.817977:0.564622:0.817977:0.549682:0.764052:0.549682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.768420:0.564622:0.777406:0.564622:0.777406:0.549708:0.768420:0.549708:0.000000
n –1:@0.777339:0.559110:0.796487:0.559110:0.796487:0.550400:0.777339:0.550400:0.000000:0.000000:0.000000:0.000000
A:@0.817877:0.564622:0.826863:0.564622:0.826863:0.549708:0.817877:0.549708:0.000000
–1 n:@0.826809:0.559110:0.845953:0.559110:0.845953:0.550400:0.826809:0.550400:0.000000:0.000000:0.000000:0.000000
)  para :@0.836363:0.564622:0.882274:0.564622:0.882274:0.549682:0.836363:0.549682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.882173:0.564622:0.890808:0.564622:0.890808:0.549708:0.882173:0.549708:0.000000
∈:@0.764052:0.579373:0.775984:0.579373:0.775984:0.563929:0.764052:0.563929:0.000000
  .:@0.775900:0.579751:0.795345:0.579751:0.795345:0.564811:0.775900:0.564811:0.000000:0.000000:0.000000
ℕ:@0.779498:0.580281:0.792517:0.580281:0.792517:0.564231:0.779498:0.564231:0.000000
• Para cualquier escalar:@0.745080:0.602027:0.905497:0.602027:0.905497:0.587087:0.745080:0.587087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ ≠ 0, la matriz λ ·   es:@0.764052:0.617156:0.906709:0.617156:0.906709:0.602216:0.764052:0.602216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.879901:0.617156:0.888887:0.617156:0.888887:0.602242:0.879901:0.602242:0.000000
invertible y:@0.764052:0.632285:0.837128:0.632285:0.837128:0.617345:0.764052:0.617345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(λ ·  )  = :@0.764052:0.653327:0.825800:0.653322:0.825800:0.638382:0.764052:0.638387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.785790:0.653327:0.794776:0.653327:0.794776:0.638412:0.785790:0.638412:0.000000
–1:@0.799078:0.647809:0.808678:0.647809:0.808678:0.639099:0.799078:0.639099:0.000000:0.000000
1:@0.832506:0.644893:0.841080:0.644893:0.841080:0.629206:0.832506:0.629206:0.000000
· :@0.847799:0.653322:0.854308:0.653322:0.854308:0.638382:0.847799:0.638382:0.000000:0.000000
A:@0.854230:0.653322:0.863216:0.653322:0.863216:0.638407:0.854230:0.638407:0.000000
–1:@0.863155:0.647809:0.872755:0.647809:0.872755:0.639099:0.863155:0.639099:0.000000:0.000000
.:@0.872709:0.653322:0.875621:0.653322:0.875621:0.638382:0.872709:0.638382:0.000000
Calcular :@0.239109:0.873926:0.298405:0.873926:0.298405:0.857492:0.239109:0.857492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.297479:0.873926:0.307363:0.873926:0.307363:0.857520:0.297479:0.857520:0.000000
–1:@0.307015:0.867862:0.317393:0.867862:0.317393:0.858281:0.307015:0.858281:0.000000:0.000000
. Para ello, aplicamos eliminación gaussiana y calculamos :@0.317173:0.873926:0.710333:0.873926:0.710333:0.857492:0.317173:0.857492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada una de las columnas de :@0.239126:0.891580:0.448140:0.891580:0.448140:0.875146:0.239126:0.875146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.447680:0.891580:0.457565:0.891580:0.457565:0.875174:0.447680:0.875174:0.000000
–1:@0.457306:0.885512:0.467758:0.885512:0.467758:0.875931:0.457306:0.875931:0.000000:0.000000
.:@0.467599:0.891576:0.470801:0.891576:0.470801:0.875142:0.467599:0.875142:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000