﻿28:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Sistemas de ecuaciones lineales:@0.404235:0.119706:0.784028:0.119706:0.784028:0.075047:0.404235:0.075047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.19. Calcular la matriz inversa A–1 de una matriz cuadrada A, cuyo determinante sea diferente a 0, por el método de Gauss (matriz ampliada) para resolver sistemas.:@0.148948:0.940354:0.876440:0.940354:0.876440:0.930312:0.148948:0.930312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera la matriz real de 3 × 3; y los vectores de  .:@0.404236:0.145259:0.781323:0.145259:0.781323:0.128761:0.404236:0.128761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.760310:0.144172:0.773615:0.144172:0.773615:0.131310:0.760310:0.131310:0.000000
3:@0.773615:0.138907:0.778568:0.138907:0.778568:0.129289:0.773615:0.129289:0.000000
B:@0.404245:0.187205:0.413434:0.187205:0.413434:0.170736:0.404245:0.170736:0.000000
 =                                                    =        ,     =        ,    =        .:@0.413434:0.187089:0.847722:0.187088:0.847722:0.170591:0.413434:0.170591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.635485:0.187205:0.642903:0.187205:0.642903:0.170736:0.635485:0.170736:0.000000
:@0.637123:0.187581:0.643538:0.187581:0.643538:0.171762:0.637123:0.171762:0.000000
1:@0.643526:0.190366:0.648479:0.190366:0.648479:0.180748:0.643526:0.180748:0.000000
e:@0.711747:0.187204:0.719164:0.187204:0.719164:0.170735:0.711747:0.170735:0.000000
:@0.713384:0.187580:0.719799:0.187580:0.719799:0.171762:0.713384:0.171762:0.000000
2:@0.719798:0.190366:0.724751:0.190366:0.724751:0.180748:0.719798:0.180748:0.000000
e:@0.783875:0.187204:0.791292:0.187204:0.791292:0.170735:0.783875:0.170735:0.000000
:@0.785512:0.187580:0.791928:0.187580:0.791928:0.171762:0.785512:0.171762:0.000000
3:@0.791927:0.190366:0.796880:0.190366:0.796880:0.180748:0.791927:0.180748:0.000000
Observa los siguientes productos::@0.404235:0.239141:0.642598:0.239141:0.642598:0.222643:0.404235:0.222643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Be:@0.404235:0.281086:0.420996:0.281086:0.420996:0.264617:0.404235:0.264617:0.000000:0.000000
:@0.415217:0.281462:0.421632:0.281462:0.421632:0.265644:0.415217:0.265644:0.000000
1:@0.421632:0.284248:0.426585:0.284248:0.426585:0.274629:0.421632:0.274629:0.000000
 =                                     =  :@0.426586:0.280971:0.613882:0.280971:0.613882:0.264473:0.426586:0.264473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        :@0.613882:0.281087:0.647019:0.281087:0.647019:0.264618:0.613882:0.264618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,    :@0.647019:0.280971:0.666342:0.280971:0.666342:0.264473:0.647019:0.264473:0.000000:0.000000:0.000000:0.000000:0.000000
Be:@0.666342:0.281087:0.683102:0.281087:0.683102:0.264618:0.666342:0.264618:0.000000:0.000000
:@0.677323:0.281463:0.683738:0.281463:0.683738:0.265644:0.677323:0.265644:0.000000
2:@0.683733:0.284248:0.688686:0.284248:0.688686:0.274629:0.683733:0.274629:0.000000
 =          ,    :@0.688687:0.280971:0.764380:0.280971:0.764380:0.264473:0.688687:0.264473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Be:@0.764380:0.281087:0.781141:0.281087:0.781141:0.264618:0.764380:0.264618:0.000000:0.000000
:@0.775361:0.281463:0.781777:0.281463:0.781777:0.265644:0.775361:0.265644:0.000000
3:@0.781773:0.284248:0.786726:0.284248:0.786726:0.274629:0.781773:0.274629:0.000000
 =          .:@0.786727:0.280971:0.845852:0.280971:0.845852:0.264473:0.786727:0.264473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los resultados muestran que :@0.404235:0.340151:0.612896:0.340151:0.612896:0.323654:0.404235:0.323654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Be Be Be:@0.613108:0.340267:0.688798:0.340267:0.688798:0.323798:0.613108:0.323798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.624090:0.340643:0.630505:0.340643:0.630505:0.324825:0.624090:0.324825:0.000000
1:@0.630514:0.343427:0.635467:0.343427:0.635467:0.333809:0.630514:0.333809:0.000000
, :@0.635468:0.340151:0.642365:0.340151:0.642365:0.323653:0.635468:0.323653:0.000000:0.000000
:@0.653558:0.340642:0.659973:0.340642:0.659973:0.324824:0.653558:0.324824:0.000000
2:@0.659975:0.343427:0.664928:0.343427:0.664928:0.333809:0.659975:0.333809:0.000000
, :@0.664929:0.340151:0.671826:0.340151:0.671826:0.323653:0.664929:0.323653:0.000000:0.000000
:@0.683019:0.340642:0.689434:0.340642:0.689434:0.324824:0.683019:0.324824:0.000000
3:@0.689436:0.343427:0.694389:0.343427:0.694389:0.333809:0.689436:0.333809:0.000000
 son respectivamente la pri-:@0.694389:0.340151:0.891762:0.340151:0.891762:0.323653:0.694389:0.323653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mera, segunda y tercera columnas de  . Estos resultados aplicaremos :@0.404235:0.357502:0.895935:0.357502:0.895935:0.341004:0.404235:0.341004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.672714:0.357617:0.681904:0.357617:0.681904:0.341149:0.672714:0.341149:0.000000
para el cálculo de la matriz inversa :@0.404235:0.374852:0.650251:0.374852:0.650251:0.358355:0.404235:0.358355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.650251:0.374968:0.661521:0.374968:0.661521:0.358499:0.650251:0.358499:0.000000
–1:@0.661521:0.368499:0.672596:0.368499:0.672596:0.358881:0.661521:0.358881:0.000000:0.000000
 de la matriz :@0.672595:0.374852:0.763449:0.374852:0.763449:0.358355:0.672595:0.358355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
invertible:@0.763449:0.375069:0.833631:0.375069:0.833631:0.358355:0.763449:0.358355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  .:@0.833631:0.374852:0.851798:0.374852:0.851798:0.358355:0.833631:0.358355:0.000000:0.000000:0.000000
A:@0.837773:0.374968:0.849043:0.374968:0.849043:0.358499:0.837773:0.358499:0.000000
Considera el sistema de ecuaciones lineales   =   siendo   un matriz :@0.404229:0.409554:0.895896:0.409554:0.895896:0.393056:0.404229:0.393056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ax b:@0.708599:0.409670:0.754992:0.409670:0.754992:0.393201:0.708599:0.393201:0.000000:0.000000:0.000000:0.000000
:@0.721567:0.410045:0.727982:0.410045:0.727982:0.394227:0.721567:0.394227:0.000000
:@0.749212:0.408166:0.755628:0.408166:0.755628:0.392348:0.749212:0.392348:0.000000
A:@0.809569:0.409670:0.820839:0.409670:0.820839:0.393201:0.809569:0.393201:0.000000
de 3 × 3 invertible,       dado,   el vector de incógnitas.:@0.404229:0.426905:0.814892:0.426905:0.814892:0.410407:0.404229:0.410407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.540011:0.427020:0.549278:0.427020:0.549278:0.410552:0.540011:0.410552:0.000000
:@0.543498:0.425517:0.549913:0.425517:0.549913:0.409698:0.543498:0.409698:0.000000
:@0.554058:0.426386:0.568710:0.426386:0.568710:0.413013:0.554058:0.413013:0.000000
R:@0.572852:0.425818:0.586157:0.425818:0.586157:0.412955:0.572852:0.412955:0.000000
3:@0.586157:0.420552:0.591110:0.420552:0.591110:0.410933:0.586157:0.410933:0.000000
x:@0.638906:0.427020:0.646381:0.427020:0.646381:0.410552:0.638906:0.410552:0.000000
:@0.640603:0.427396:0.647019:0.427396:0.647019:0.411578:0.640603:0.411578:0.000000
Por hipótesis   invertible, existe :@0.404238:0.461606:0.632431:0.461606:0.632431:0.445108:0.404238:0.445108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.499560:0.461722:0.510831:0.461722:0.510831:0.445253:0.499560:0.445253:0.000000
A:@0.632431:0.461722:0.643701:0.461722:0.643701:0.445253:0.632431:0.445253:0.000000
–1:@0.643700:0.455253:0.654774:0.455253:0.654774:0.445635:0.643700:0.445635:0.000000:0.000000
 matriz inversa de   tal que:@0.654773:0.461606:0.847790:0.461606:0.847790:0.445108:0.654773:0.445108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.783234:0.461722:0.794504:0.461722:0.794504:0.445253:0.783234:0.445253:0.000000
AA:@0.404229:0.479073:0.426576:0.479073:0.426576:0.462604:0.404229:0.462604:0.000000:0.000000
–1:@0.426391:0.472604:0.437353:0.472604:0.437353:0.462986:0.426391:0.462986:0.000000:0.000000
 = :@0.437240:0.478957:0.455619:0.478957:0.455619:0.462459:0.437240:0.462459:0.000000:0.000000:0.000000
A A:@0.455099:0.479073:0.488297:0.479073:0.488297:0.462604:0.455099:0.462604:0.000000:0.000000:0.000000
–1:@0.466178:0.472604:0.477140:0.472604:0.477140:0.462986:0.466178:0.462986:0.000000:0.000000
 =  . Multiplicando al sistema de ecuaciones lineales   =   :@0.488105:0.478957:0.895915:0.478957:0.895915:0.462459:0.488105:0.462459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ӏ:@0.505963:0.486543:0.510957:0.486543:0.510957:0.467544:0.505963:0.467544:0.000000
Ax b:@0.844047:0.479073:0.891137:0.479073:0.891137:0.462604:0.844047:0.462604:0.000000:0.000000:0.000000:0.000000
:@0.857018:0.479448:0.863434:0.479448:0.863434:0.463630:0.857018:0.463630:0.000000
:@0.885357:0.477569:0.891773:0.477569:0.891773:0.461751:0.885357:0.461751:0.000000
por :@0.404246:0.496308:0.433684:0.496308:0.433684:0.479810:0.404246:0.479810:0.000000:0.000000:0.000000:0.000000
A:@0.433684:0.496423:0.444954:0.496423:0.444954:0.479955:0.433684:0.479955:0.000000
–1:@0.444943:0.489955:0.456017:0.489955:0.456017:0.480337:0.444943:0.480337:0.000000:0.000000
, se tienen las siguientes equivalencias::@0.456018:0.496308:0.723572:0.496308:0.723572:0.479810:0.456018:0.479810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A Ax:@0.468521:0.531125:0.515569:0.531125:0.515569:0.514656:0.468521:0.514656:0.000000:0.000000:0.000000:0.000000
–1:@0.479796:0.524656:0.490871:0.524656:0.490871:0.515038:0.479796:0.515038:0.000000:0.000000
(:@0.490871:0.531009:0.496824:0.531009:0.496824:0.514511:0.490871:0.514511:0.000000
:@0.509790:0.531501:0.516205:0.531501:0.516205:0.515683:0.509790:0.515683:0.000000
) = :@0.517168:0.531009:0.542213:0.531009:0.542213:0.514511:0.517168:0.514511:0.000000:0.000000:0.000000:0.000000
A b:@0.542213:0.531125:0.576039:0.531125:0.576039:0.514656:0.542213:0.514656:0.000000:0.000000:0.000000
–1:@0.553482:0.524656:0.564556:0.524656:0.564556:0.515038:0.553482:0.515038:0.000000:0.000000
       (:@0.564557:0.531009:0.618396:0.531009:0.618396:0.514511:0.564557:0.514511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.570259:0.529621:0.576674:0.529621:0.576674:0.513803:0.570259:0.513803:0.000000
⇔:@0.584958:0.530365:0.604159:0.530365:0.604159:0.513423:0.584958:0.513423:0.000000
A A x:@0.618396:0.531125:0.665438:0.531125:0.665438:0.514656:0.618396:0.514656:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.629665:0.524656:0.640739:0.524656:0.640739:0.515038:0.629665:0.515038:0.000000:0.000000
)  = :@0.652010:0.531009:0.686129:0.531009:0.686129:0.514511:0.652010:0.514511:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.659658:0.531501:0.666074:0.531501:0.666074:0.515683:0.659658:0.515683:0.000000
A b:@0.686129:0.531125:0.719954:0.531125:0.719954:0.514656:0.686129:0.514656:0.000000:0.000000:0.000000
–1:@0.697398:0.524656:0.708472:0.524656:0.708472:0.515038:0.697398:0.515038:0.000000:0.000000
         = :@0.708471:0.531009:0.790265:0.531009:0.790265:0.514511:0.708471:0.514511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.714174:0.529621:0.720589:0.529621:0.720589:0.513803:0.714174:0.513803:0.000000
⇔:@0.728873:0.530365:0.748074:0.530365:0.748074:0.513423:0.728873:0.513423:0.000000
ӏ:@0.756358:0.538596:0.761352:0.538596:0.761352:0.519596:0.756358:0.519596:0.000000
x:@0.762099:0.531125:0.769574:0.531125:0.769574:0.514656:0.762099:0.514656:0.000000
:@0.763795:0.531501:0.770210:0.531501:0.770210:0.515683:0.763795:0.515683:0.000000
A b:@0.790265:0.531125:0.824090:0.531125:0.824090:0.514656:0.790265:0.514656:0.000000:0.000000:0.000000
–1:@0.801534:0.524656:0.812609:0.524656:0.812609:0.515038:0.801534:0.515038:0.000000:0.000000
  .:@0.812608:0.531009:0.827480:0.531009:0.827480:0.514511:0.812608:0.514511:0.000000:0.000000:0.000000
:@0.818310:0.529621:0.824726:0.529621:0.824726:0.513803:0.818310:0.513803:0.000000
Así,   = :@0.404242:0.565711:0.461518:0.565711:0.461518:0.549213:0.404242:0.549213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.433352:0.565826:0.440827:0.565826:0.440827:0.549358:0.433352:0.549358:0.000000
:@0.435047:0.566202:0.441463:0.566202:0.441463:0.550384:0.435047:0.550384:0.000000
A b:@0.461518:0.565826:0.495337:0.565826:0.495337:0.549358:0.461518:0.549358:0.000000:0.000000:0.000000
–1:@0.472780:0.559358:0.483855:0.559358:0.483855:0.549740:0.472780:0.549740:0.000000:0.000000
  .:@0.483855:0.565711:0.498728:0.565711:0.498728:0.549213:0.483855:0.549213:0.000000:0.000000:0.000000
:@0.489558:0.564323:0.495973:0.564323:0.495973:0.548504:0.489558:0.548504:0.000000
Ponemos   = :@0.404232:0.600412:0.503140:0.600412:0.503140:0.583914:0.404232:0.583914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B A:@0.474858:0.600528:0.514410:0.600528:0.514410:0.584059:0.474858:0.584059:0.000000:0.000000:0.000000
–1:@0.514413:0.594059:0.525488:0.594059:0.525488:0.584441:0.514413:0.584441:0.000000:0.000000
. Entonces,:@0.525487:0.600412:0.600390:0.600412:0.600390:0.583914:0.525487:0.583914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A e:@0.404231:0.644281:0.435683:0.644282:0.435683:0.627813:0.404231:0.627812:0.000000:0.000000:0.000000
–1:@0.415507:0.637813:0.426582:0.637813:0.426582:0.628195:0.415507:0.628195:0.000000:0.000000
:@0.430867:0.644658:0.437282:0.644658:0.437282:0.628840:0.430867:0.628840:0.000000
1:@0.435548:0.647443:0.440501:0.647443:0.440501:0.637825:0.435548:0.637825:0.000000
 = :@0.440500:0.644166:0.459592:0.644166:0.459592:0.627669:0.440500:0.627669:0.000000:0.000000:0.000000
Be:@0.459592:0.644282:0.476353:0.644282:0.476353:0.627813:0.459592:0.627813:0.000000:0.000000
:@0.471536:0.644658:0.477952:0.644658:0.477952:0.628840:0.471536:0.628840:0.000000
1:@0.477952:0.647443:0.482905:0.647443:0.482905:0.637825:0.477952:0.637825:0.000000
 =          ,  :@0.482904:0.644166:0.550313:0.644166:0.550313:0.627669:0.482904:0.627669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A e:@0.550313:0.644282:0.581759:0.644282:0.581759:0.627813:0.550313:0.627813:0.000000:0.000000:0.000000
–1:@0.561581:0.637813:0.572656:0.637813:0.572656:0.628195:0.561581:0.628195:0.000000:0.000000
:@0.576943:0.644658:0.583358:0.644658:0.583358:0.628840:0.576943:0.628840:0.000000
2:@0.583356:0.647443:0.588309:0.647443:0.588309:0.637825:0.583356:0.637825:0.000000
 = :@0.588310:0.644166:0.607402:0.644166:0.607402:0.627669:0.588310:0.627669:0.000000:0.000000:0.000000
Be:@0.607402:0.644282:0.624162:0.644282:0.624162:0.627813:0.607402:0.627813:0.000000:0.000000
:@0.619346:0.644658:0.625762:0.644658:0.625762:0.628840:0.619346:0.628840:0.000000
2:@0.624798:0.647443:0.629751:0.647443:0.629751:0.637825:0.624798:0.637825:0.000000
 =          ,  :@0.629750:0.644166:0.697159:0.644166:0.697159:0.627669:0.629750:0.627669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A e:@0.697159:0.644282:0.728605:0.644282:0.728605:0.627813:0.697159:0.627813:0.000000:0.000000:0.000000
–1:@0.708428:0.637813:0.719502:0.637813:0.719502:0.628195:0.708428:0.628195:0.000000:0.000000
:@0.723789:0.644658:0.730204:0.644658:0.730204:0.628840:0.723789:0.628840:0.000000
3:@0.730203:0.647443:0.735156:0.647443:0.735156:0.637825:0.730203:0.637825:0.000000
 = :@0.735156:0.644166:0.754248:0.644166:0.754248:0.627669:0.735156:0.627669:0.000000:0.000000:0.000000
Be:@0.754248:0.644282:0.771009:0.644282:0.771009:0.627813:0.754248:0.627813:0.000000:0.000000
:@0.766193:0.644658:0.772608:0.644658:0.772608:0.628840:0.766193:0.628840:0.000000
3:@0.771643:0.647443:0.776596:0.647443:0.776596:0.637825:0.771643:0.637825:0.000000
 =          .:@0.776597:0.644166:0.835722:0.644166:0.835722:0.627669:0.776597:0.627669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Que muestra que las columnas primera, segunda, tercera de :@0.404238:0.696218:0.837198:0.696218:0.837198:0.679721:0.404238:0.679721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.837583:0.696334:0.848853:0.696334:0.848853:0.679865:0.837583:0.679865:0.000000
–1:@0.848791:0.689865:0.859866:0.689865:0.859866:0.680247:0.848791:0.680247:0.000000:0.000000
 son :@0.861551:0.696218:0.895919:0.696218:0.895919:0.679721:0.861551:0.679721:0.000000:0.000000:0.000000:0.000000:0.000000
respectivamente soluciones de los sistemas de ecuaciones lineales::@0.404233:0.713569:0.873374:0.713569:0.873374:0.697072:0.404233:0.697072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ax:@0.546507:0.748386:0.565252:0.748386:0.565252:0.731918:0.546507:0.731918:0.000000:0.000000
:@0.559472:0.748762:0.565888:0.748762:0.565888:0.732944:0.559472:0.732944:0.000000
1:@0.566853:0.751547:0.571807:0.751547:0.571807:0.741929:0.566853:0.741929:0.000000
 =  ,   :@0.571807:0.748271:0.618315:0.748271:0.618315:0.731773:0.571807:0.731773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.590899:0.748386:0.598316:0.748386:0.598316:0.731918:0.590899:0.731918:0.000000
:@0.593500:0.748762:0.599915:0.748762:0.599915:0.732944:0.593500:0.732944:0.000000
1:@0.598180:0.751547:0.603134:0.751547:0.603134:0.741929:0.598180:0.741929:0.000000
Ax:@0.618315:0.748386:0.637060:0.748386:0.637060:0.731918:0.618315:0.731918:0.000000:0.000000
:@0.631281:0.748762:0.637696:0.748762:0.637696:0.732944:0.631281:0.732944:0.000000
2:@0.638657:0.751547:0.643611:0.751547:0.643611:0.741929:0.638657:0.741929:0.000000
 =  ,  :@0.643611:0.748271:0.685977:0.748271:0.685977:0.731773:0.643611:0.731773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e Ax:@0.662703:0.748386:0.704722:0.748386:0.704722:0.731918:0.662703:0.731918:0.000000:0.000000:0.000000:0.000000
:@0.665304:0.748762:0.671719:0.748762:0.671719:0.732944:0.665304:0.732944:0.000000
2:@0.669984:0.751547:0.674938:0.751547:0.674938:0.741929:0.669984:0.741929:0.000000
:@0.698943:0.748762:0.705358:0.748762:0.705358:0.732944:0.698943:0.732944:0.000000
3:@0.706320:0.751547:0.711274:0.751547:0.711274:0.741929:0.706320:0.741929:0.000000
 =   .  :@0.711272:0.748271:0.757780:0.748271:0.757780:0.731773:0.711272:0.731773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.730364:0.748386:0.737781:0.748386:0.737781:0.731918:0.730364:0.731918:0.000000
:@0.732965:0.748762:0.739380:0.748762:0.739380:0.732944:0.732965:0.732944:0.000000
3:@0.737646:0.751547:0.742599:0.751547:0.742599:0.741929:0.737646:0.741929:0.000000
Para calcular :@0.404244:0.782972:0.499393:0.782972:0.499393:0.766475:0.404244:0.766475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.500337:0.783088:0.511607:0.783088:0.511607:0.766619:0.500337:0.766619:0.000000
–1:@0.511710:0.776619:0.522840:0.776619:0.522840:0.767001:0.511710:0.767001:0.000000:0.000000
resolvemos los tres sistemas de ecuaciones lineales :@0.524580:0.782972:0.895874:0.782972:0.895874:0.766475:0.524580:0.766475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el método de eliminación gaussiana, tratado en el libro 2.:@0.404230:0.800323:0.844413:0.800323:0.844413:0.783825:0.404230:0.783825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404230:0.835400:0.522209:0.835400:0.522209:0.818614:0.404230:0.818614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   =                       .  Calcular :@0.404230:0.876854:0.626804:0.876854:0.626804:0.860357:0.404230:0.860357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.432492:0.876970:0.443763:0.876970:0.443763:0.860501:0.432492:0.860501:0.000000
A:@0.626804:0.876970:0.638074:0.876970:0.638074:0.860501:0.626804:0.860501:0.000000
–1:@0.638075:0.870502:0.649149:0.870502:0.649149:0.860884:0.638075:0.860884:0.000000:0.000000
. Para ello aplicamos eliminación:@0.649148:0.876854:0.872469:0.876854:0.872469:0.860356:0.649148:0.860356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gaussiana y calculamos cada una de las columnas de :@0.404229:0.918683:0.779666:0.918683:0.779666:0.902186:0.404229:0.902186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.779666:0.918799:0.790936:0.918799:0.790936:0.902330:0.779666:0.902330:0.000000
–1:@0.790942:0.912331:0.802016:0.912331:0.802016:0.902713:0.790942:0.902713:0.000000:0.000000
.:@0.802015:0.918683:0.804770:0.918683:0.804770:0.902186:0.802015:0.902186:0.000000
b:@0.443065:0.168263:0.452331:0.168263:0.452331:0.151795:0.443065:0.151795:0.000000
11:@0.452324:0.171424:0.462230:0.171424:0.462230:0.161806:0.452324:0.161806:0.000000:0.000000
b:@0.481046:0.168261:0.490313:0.168261:0.490313:0.151793:0.481046:0.151793:0.000000
12:@0.490313:0.171424:0.500220:0.171424:0.500220:0.161806:0.490313:0.161806:0.000000:0.000000
b:@0.519037:0.168261:0.528304:0.168261:0.528304:0.151793:0.519037:0.151793:0.000000
13:@0.528303:0.171424:0.538209:0.171424:0.538209:0.161806:0.528303:0.161806:0.000000:0.000000
b:@0.443057:0.189646:0.452323:0.189646:0.452323:0.173177:0.443057:0.173177:0.000000
21:@0.452324:0.192808:0.462230:0.192808:0.462230:0.183190:0.452324:0.183190:0.000000:0.000000
b:@0.481046:0.189646:0.490313:0.189646:0.490313:0.173177:0.481046:0.173177:0.000000
22:@0.490313:0.192808:0.500220:0.192808:0.500220:0.183190:0.490313:0.183190:0.000000:0.000000
b:@0.519037:0.189646:0.528304:0.189646:0.528304:0.173177:0.519037:0.173177:0.000000
23:@0.528303:0.192808:0.538209:0.192808:0.538209:0.183190:0.528303:0.183190:0.000000:0.000000
b:@0.443057:0.211030:0.452323:0.211030:0.452323:0.194561:0.443057:0.194561:0.000000
31:@0.452324:0.214192:0.462230:0.214192:0.462230:0.204574:0.452324:0.204574:0.000000:0.000000
b:@0.481046:0.211030:0.490313:0.211030:0.490313:0.194561:0.481046:0.194561:0.000000
32:@0.490313:0.214192:0.500220:0.214192:0.500220:0.204574:0.490313:0.204574:0.000000:0.000000
b:@0.519037:0.211030:0.528304:0.211030:0.528304:0.194561:0.519037:0.194561:0.000000
33:@0.528303:0.214192:0.538209:0.214192:0.538209:0.204574:0.528303:0.204574:0.000000:0.000000
b:@0.458134:0.261135:0.467400:0.261135:0.467400:0.244666:0.458134:0.244666:0.000000
11:@0.467401:0.264295:0.477307:0.264295:0.477307:0.254677:0.467401:0.254677:0.000000:0.000000
b:@0.496123:0.261135:0.505390:0.261135:0.505390:0.244666:0.496123:0.244666:0.000000
12:@0.505391:0.264295:0.515297:0.264295:0.515297:0.254677:0.505391:0.254677:0.000000:0.000000
b:@0.534114:0.261135:0.543381:0.261135:0.543381:0.244666:0.534114:0.244666:0.000000
13:@0.543380:0.264295:0.553286:0.264295:0.553286:0.254677:0.543380:0.254677:0.000000:0.000000
b:@0.458134:0.282517:0.467400:0.282517:0.467400:0.266049:0.458134:0.266049:0.000000
21:@0.467401:0.285680:0.477307:0.285680:0.477307:0.276062:0.467401:0.276062:0.000000:0.000000
b:@0.496123:0.282517:0.505390:0.282517:0.505390:0.266049:0.496123:0.266049:0.000000
22:@0.505391:0.285680:0.515297:0.285680:0.515297:0.276062:0.505391:0.276062:0.000000:0.000000
b:@0.534114:0.282517:0.543381:0.282517:0.543381:0.266049:0.534114:0.266049:0.000000
23:@0.543380:0.285680:0.553286:0.285680:0.553286:0.276062:0.543380:0.276062:0.000000:0.000000
b:@0.458134:0.303902:0.467400:0.303902:0.467400:0.287433:0.458134:0.287433:0.000000
31:@0.467401:0.307064:0.477307:0.307064:0.477307:0.297446:0.467401:0.297446:0.000000:0.000000
b:@0.496123:0.303902:0.505390:0.303902:0.505390:0.287433:0.496123:0.287433:0.000000
32:@0.505391:0.307064:0.515297:0.307064:0.515297:0.297446:0.505391:0.297446:0.000000:0.000000
b:@0.534114:0.303902:0.543381:0.303902:0.543381:0.287433:0.534114:0.287433:0.000000
33:@0.543380:0.307064:0.553286:0.307064:0.553286:0.297446:0.543380:0.297446:0.000000:0.000000
b:@0.618772:0.261135:0.628039:0.261135:0.628039:0.244666:0.618772:0.244666:0.000000
11:@0.628040:0.264295:0.637946:0.264295:0.637946:0.254677:0.628040:0.254677:0.000000:0.000000
b:@0.618772:0.282517:0.628039:0.282517:0.628039:0.266049:0.618772:0.266049:0.000000
21:@0.628040:0.285680:0.637946:0.285680:0.637946:0.276062:0.628040:0.276062:0.000000:0.000000
b:@0.618772:0.303902:0.628039:0.303902:0.628039:0.287433:0.618772:0.287433:0.000000
31:@0.628040:0.307064:0.637946:0.307064:0.637946:0.297446:0.628040:0.297446:0.000000:0.000000
b:@0.717612:0.261135:0.726878:0.261135:0.726878:0.244666:0.717612:0.244666:0.000000
12:@0.726879:0.264295:0.736785:0.264295:0.736785:0.254677:0.726879:0.254677:0.000000:0.000000
b:@0.717612:0.282517:0.726878:0.282517:0.726878:0.266049:0.717612:0.266049:0.000000
22:@0.726879:0.285680:0.736785:0.285680:0.736785:0.276062:0.726879:0.276062:0.000000:0.000000
b:@0.717612:0.303902:0.726878:0.303902:0.726878:0.287433:0.717612:0.287433:0.000000
32:@0.726879:0.307064:0.736785:0.307064:0.736785:0.297446:0.726879:0.297446:0.000000:0.000000
b:@0.814775:0.261135:0.824042:0.261135:0.824042:0.244666:0.814775:0.244666:0.000000
13:@0.824043:0.264295:0.833949:0.264295:0.833949:0.254677:0.824043:0.254677:0.000000:0.000000
b:@0.814775:0.282517:0.824042:0.282517:0.824042:0.266049:0.814775:0.266049:0.000000
23:@0.824043:0.285680:0.833949:0.285680:0.833949:0.276062:0.824043:0.276062:0.000000:0.000000
b:@0.814775:0.303902:0.824042:0.303902:0.824042:0.287433:0.814775:0.287433:0.000000
33:@0.824043:0.307064:0.833949:0.307064:0.833949:0.297446:0.824043:0.297446:0.000000:0.000000
1:@0.678862:0.168421:0.687358:0.168421:0.687358:0.151923:0.678862:0.151923:0.000000
0:@0.678862:0.189806:0.687358:0.189806:0.687358:0.173308:0.678862:0.173308:0.000000
0:@0.678862:0.211191:0.687358:0.211191:0.687358:0.194693:0.678862:0.194693:0.000000
1:@0.572511:0.262369:0.581007:0.262369:0.581007:0.245871:0.572511:0.245871:0.000000
0:@0.572511:0.283754:0.581007:0.283754:0.581007:0.267256:0.572511:0.267256:0.000000
0:@0.572511:0.305139:0.581007:0.305139:0.581007:0.288641:0.572511:0.288641:0.000000
0:@0.753772:0.168421:0.762268:0.168421:0.762268:0.151923:0.753772:0.151923:0.000000
1:@0.753772:0.189806:0.762268:0.189806:0.762268:0.173308:0.753772:0.173308:0.000000
0:@0.753772:0.211191:0.762268:0.211191:0.762268:0.194693:0.753772:0.194693:0.000000
0:@0.826283:0.168421:0.834779:0.168421:0.834779:0.151923:0.826283:0.151923:0.000000
0:@0.826283:0.189806:0.834779:0.189806:0.834779:0.173308:0.826283:0.173308:0.000000
1:@0.826283:0.211191:0.834779:0.211191:0.834779:0.194693:0.826283:0.194693:0.000000
b:@0.510483:0.622041:0.519750:0.622041:0.519750:0.605573:0.510483:0.605573:0.000000
11:@0.519751:0.625202:0.529657:0.625202:0.529657:0.615584:0.519751:0.615584:0.000000:0.000000
b:@0.510483:0.643426:0.519750:0.643426:0.519750:0.626957:0.510483:0.626957:0.000000
21:@0.519751:0.646587:0.529657:0.646587:0.529657:0.636969:0.519751:0.636969:0.000000:0.000000
b:@0.510483:0.664809:0.519750:0.664809:0.519750:0.648340:0.510483:0.648340:0.000000
31:@0.519751:0.667971:0.529657:0.667971:0.529657:0.658353:0.519751:0.658353:0.000000:0.000000
b:@0.658630:0.622041:0.667896:0.622041:0.667896:0.605573:0.658630:0.605573:0.000000
12:@0.667897:0.625202:0.677803:0.625202:0.677803:0.615584:0.667897:0.615584:0.000000:0.000000
b:@0.658630:0.643426:0.667896:0.643426:0.667896:0.626957:0.658630:0.626957:0.000000
22:@0.667897:0.646587:0.677803:0.646587:0.677803:0.636969:0.667897:0.636969:0.000000:0.000000
b:@0.658630:0.664809:0.667896:0.664809:0.667896:0.648340:0.658630:0.648340:0.000000
32:@0.667897:0.667971:0.677803:0.667971:0.677803:0.658353:0.667897:0.658353:0.000000:0.000000
b:@0.805325:0.622041:0.814592:0.622041:0.814592:0.605573:0.805325:0.605573:0.000000
13:@0.814593:0.625202:0.824499:0.625202:0.824499:0.615584:0.814593:0.615584:0.000000:0.000000
b:@0.805325:0.643426:0.814592:0.643426:0.814592:0.626957:0.805325:0.626957:0.000000
23:@0.814593:0.646587:0.824499:0.646587:0.824499:0.636969:0.814593:0.636969:0.000000:0.000000
b:@0.805325:0.664809:0.814592:0.664809:0.814592:0.648340:0.805325:0.648340:0.000000
33:@0.814593:0.667971:0.824499:0.667971:0.824499:0.658353:0.814593:0.658353:0.000000:0.000000
2:@0.472856:0.855386:0.481352:0.855386:0.481352:0.838889:0.472856:0.838889:0.000000
3:@0.501619:0.855386:0.510115:0.855386:0.510115:0.838889:0.501619:0.838889:0.000000
1:@0.530382:0.855386:0.538878:0.855386:0.538878:0.838889:0.530382:0.838889:0.000000
1:@0.472836:0.876771:0.481332:0.876771:0.481332:0.860274:0.472836:0.860274:0.000000
2 –1:@0.501599:0.876771:0.544118:0.876771:0.544118:0.860274:0.501599:0.860274:0.000000:0.000000:0.000000:0.000000
2:@0.472836:0.898156:0.481332:0.898156:0.481332:0.881658:0.472836:0.881658:0.000000
1:@0.501599:0.898156:0.510095:0.898156:0.510095:0.881658:0.501599:0.881658:0.000000
1:@0.530362:0.898156:0.538858:0.898156:0.538858:0.881658:0.530362:0.881658:0.000000
Saberes previos:@0.199646:0.100622:0.307805:0.100622:0.307805:0.085150:0.199646:0.085150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Una matriz puede escri-:@0.199884:0.129250:0.360375:0.129250:0.360375:0.114187:0.199884:0.114187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
birse como un determinante?:@0.153341:0.145092:0.344544:0.145092:0.344544:0.130029:0.153341:0.130029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.192243:0.363493:0.192243:0.363493:0.176771:0.199646:0.176771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué condiciones debe :@0.199884:0.220871:0.355974:0.220871:0.355974:0.205808:0.199884:0.205808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumplir una matriz para que :@0.153341:0.236713:0.341483:0.236713:0.341483:0.221650:0.153341:0.221650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenga inversa?:@0.153341:0.252555:0.243683:0.252555:0.243683:0.237492:0.153341:0.237492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.199646:0.518940:0.309406:0.518940:0.309406:0.503468:0.199646:0.503468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de :@0.199884:0.547990:0.311419:0.547990:0.311419:0.532518:0.199884:0.532518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la matriz inversa :@0.153341:0.563832:0.272601:0.563832:0.272601:0.548360:0.153341:0.548360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.153341:0.579899:0.160429:0.579899:0.160429:0.564202:0.153341:0.564202:0.000000
  Si   y   son inversas de la :@0.160429:0.579252:0.336926:0.579252:0.336926:0.564189:0.160429:0.564189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B C:@0.184528:0.579357:0.216788:0.579357:0.216788:0.564321:0.184528:0.564321:0.000000:0.000000:0.000000
matriz  , entonces,   =  ; :@0.169963:0.595094:0.338104:0.595094:0.338104:0.580031:0.169963:0.580031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.214624:0.595199:0.224914:0.595199:0.224914:0.580163:0.214624:0.580163:0.000000
B C:@0.296821:0.595199:0.331807:0.595199:0.331807:0.580163:0.296821:0.580163:0.000000:0.000000:0.000000
por lo tanto, toda matriz :@0.169963:0.610936:0.333656:0.610936:0.333656:0.595873:0.169963:0.595873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene una y solamente una :@0.169963:0.626778:0.345299:0.626778:0.345299:0.611715:0.169963:0.611715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matriz inversa.:@0.169963:0.642620:0.262522:0.642620:0.262522:0.627557:0.169963:0.627557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.153341:0.666238:0.160429:0.666238:0.160429:0.650541:0.153341:0.650541:0.000000
  Si   y   son matrices inver-:@0.160429:0.665591:0.343770:0.665591:0.343770:0.650528:0.160429:0.650528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.184528:0.665696:0.217914:0.665696:0.217914:0.650660:0.184528:0.650660:0.000000:0.000000:0.000000
tibles del mismo tamaño, :@0.169963:0.681433:0.337366:0.681433:0.337366:0.666370:0.169963:0.666370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces   ·   es invertible.:@0.169963:0.697275:0.345651:0.697275:0.345651:0.682212:0.169963:0.682212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.232828:0.697380:0.261588:0.697380:0.261588:0.682344:0.232828:0.682344:0.000000:0.000000:0.000000
  ( ·  )  =  :@0.153341:0.713117:0.240920:0.713115:0.240920:0.698052:0.153341:0.698054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  B:@0.175398:0.713222:0.204158:0.713222:0.204158:0.698186:0.175398:0.698186:0.000000:0.000000:0.000000:0.000000
–1:@0.209595:0.707316:0.219707:0.707316:0.219707:0.698534:0.209595:0.698534:0.000000:0.000000
B:@0.240920:0.713221:0.249311:0.713221:0.249311:0.698184:0.240920:0.698184:0.000000
–1:@0.249310:0.707316:0.259421:0.707316:0.259421:0.698534:0.249310:0.698534:0.000000:0.000000
 · :@0.259422:0.713115:0.269501:0.713115:0.269501:0.698052:0.259422:0.698052:0.000000:0.000000:0.000000
A:@0.269501:0.713221:0.279791:0.713221:0.279791:0.698184:0.269501:0.698184:0.000000
–1:@0.279791:0.707316:0.289902:0.707316:0.289902:0.698534:0.279791:0.698534:0.000000:0.000000
.:@0.289901:0.713115:0.292416:0.713115:0.292416:0.698052:0.289901:0.698052:0.000000
•:@0.153350:0.736733:0.160439:0.736733:0.160439:0.721036:0.153350:0.721036:0.000000
  Si   es una matriz invertible, :@0.160439:0.736086:0.355721:0.736086:0.355721:0.721023:0.160439:0.721023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.184537:0.736192:0.194827:0.736192:0.194827:0.721155:0.184537:0.721155:0.000000
se cumple: :@0.169972:0.751928:0.242635:0.751928:0.242635:0.736865:0.169972:0.736865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.242635:0.752034:0.252925:0.752034:0.252925:0.736997:0.242635:0.736997:0.000000
–1:@0.252918:0.746128:0.263030:0.746128:0.263030:0.737346:0.252918:0.737346:0.000000:0.000000
 es invertible y :@0.263030:0.751927:0.359140:0.751927:0.359140:0.736864:0.263030:0.736864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  (:@0.153339:0.767769:0.175397:0.767769:0.175397:0.752706:0.153339:0.752706:0.000000:0.000000:0.000000
A:@0.175397:0.767875:0.185687:0.767875:0.185687:0.752838:0.175397:0.752838:0.000000
–1 –1:@0.185691:0.761970:0.211349:0.761970:0.211349:0.753188:0.185691:0.753188:0.000000:0.000000:0.000000:0.000000:0.000000
)  =  .:@0.195803:0.767769:0.241586:0.767769:0.241586:0.752706:0.195803:0.752706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.228781:0.767875:0.239071:0.767875:0.239071:0.752838:0.228781:0.752838:0.000000
•:@0.153337:0.791387:0.160426:0.791387:0.160426:0.775690:0.153337:0.775690:0.000000
 :@0.160426:0.790740:0.164208:0.790740:0.164208:0.775677:0.160426:0.775677:0.000000
A:@0.169960:0.790845:0.180250:0.790845:0.180250:0.775809:0.169960:0.775809:0.000000
n:@0.180186:0.785001:0.185170:0.785001:0.185170:0.776234:0.180186:0.776234:0.000000
 :@0.185170:0.784939:0.187375:0.784939:0.187375:0.776158:0.185170:0.776158:0.000000
es invertible y  :@0.187375:0.790740:0.283485:0.790740:0.283485:0.775677:0.187375:0.775677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  = (:@0.169961:0.806582:0.229018:0.806582:0.229018:0.791519:0.169961:0.791519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.175396:0.806687:0.185686:0.806687:0.185686:0.791651:0.175396:0.791651:0.000000
n:@0.185621:0.800843:0.190605:0.800843:0.190605:0.792076:0.185621:0.792076:0.000000
–1:@0.196041:0.800781:0.206152:0.800781:0.206152:0.792000:0.196041:0.792000:0.000000:0.000000
A:@0.229018:0.806687:0.239308:0.806687:0.239308:0.791651:0.229018:0.791651:0.000000
–1:@0.239309:0.800781:0.249420:0.800781:0.249420:0.792000:0.239309:0.792000:0.000000:0.000000
)  para      .:@0.249419:0.806582:0.341531:0.806582:0.341531:0.791519:0.249419:0.791519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.254855:0.800843:0.259839:0.800843:0.259839:0.792076:0.254855:0.792076:0.000000
n:@0.295916:0.806687:0.304465:0.806687:0.304465:0.791651:0.295916:0.791651:0.000000
:@0.308245:0.806233:0.322200:0.806233:0.322200:0.793496:0.308245:0.793496:0.000000
N:@0.325982:0.805579:0.339016:0.805579:0.339016:0.793886:0.325982:0.793886:0.000000
•:@0.153353:0.830200:0.160442:0.830200:0.160442:0.814503:0.153353:0.814503:0.000000
  Para cualquier escalar   ≠ 0, :@0.160442:0.829553:0.352084:0.829551:0.352084:0.814488:0.160442:0.814490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.312426:0.836434:0.320602:0.836434:0.320602:0.819162:0.312426:0.819162:0.000000
la matriz   ·   es invertible y   :@0.169975:0.845393:0.359493:0.845393:0.359493:0.830330:0.169975:0.830330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.229051:0.852276:0.237227:0.852276:0.237227:0.835004:0.229051:0.835004:0.000000
A:@0.247302:0.845499:0.257592:0.845499:0.257592:0.830462:0.247302:0.830462:0.000000
  (  ·  )  =      · :@0.153354:0.868364:0.262127:0.868363:0.262127:0.853300:0.153354:0.853301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.175402:0.875245:0.183577:0.875245:0.183577:0.857973:0.175402:0.857973:0.000000
A:@0.193653:0.868469:0.203943:0.868469:0.203943:0.853432:0.193653:0.853432:0.000000
–1:@0.209377:0.862564:0.219489:0.862564:0.219489:0.853782:0.209377:0.853782:0.000000:0.000000
A:@0.262127:0.868469:0.272417:0.868469:0.272417:0.853432:0.262127:0.853432:0.000000
–1:@0.272415:0.862564:0.282526:0.862564:0.282526:0.853782:0.272415:0.853782:0.000000:0.000000
.:@0.282527:0.868363:0.285042:0.868363:0.285042:0.853300:0.282527:0.853300:0.000000
1:@0.241395:0.861107:0.249152:0.861107:0.249152:0.846044:0.241395:0.846044:0.000000
λ:@0.241187:0.884334:0.249362:0.884334:0.249362:0.867062:0.241187:0.867062:0.000000
Glosario:@0.199644:0.364771:0.267109:0.364771:0.267109:0.347088:0.199644:0.347088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
invertible: :@0.199880:0.391584:0.270749:0.391584:0.270749:0.376323:0.199880:0.376323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se puede :@0.270749:0.391386:0.361531:0.391386:0.361531:0.376323:0.270749:0.376323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
invertir.:@0.153337:0.407228:0.201129:0.407228:0.201129:0.392165:0.153337:0.392165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146908:0.368502:0.158313:0.366993:0.153110:0.344848:0.141706:0.346358:0.000000
c:@0.150290:0.379472:0.160889:0.378069:0.155807:0.356434:0.145207:0.357837:0.000000
b:@0.160665:0.372254:0.173379:0.370571:0.168247:0.348729:0.155534:0.350411:0.000000