7:@0.926628:0.510692:0.936081:0.510692:0.936081:0.494068:0.926628:0.494068:0.000000 2. :@0.119879:0.728968:0.138620:0.728968:0.138620:0.711832:0.119879:0.711832:0.000000:0.000000:0.000000 Dadas las filas y columnas, :@0.153122:0.728968:0.356912:0.728968:0.356912:0.712579:0.153122:0.712579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 arma:@0.358865:0.728968:0.398098:0.728968:0.398098:0.712344:0.358865:0.712344:0.000000:0.000000:0.000000:0.000000 la matriz en :@0.398098:0.728968:0.497181:0.728968:0.497181:0.712579:0.398098:0.712579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cada caso.:@0.153122:0.745564:0.228270:0.745564:0.228270:0.729175:0.153122:0.729175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.153122:0.762161:0.171845:0.762161:0.171845:0.745260:0.153122:0.745260:0.000000:0.000000:0.000000 a:@0.186366:0.762161:0.195635:0.762161:0.195635:0.745800:0.186366:0.745800:0.000000 11:@0.195630:0.765325:0.206116:0.765325:0.206116:0.755770:0.195630:0.755770:0.000000:0.000000 = 3, :@0.206116:0.762161:0.245440:0.762161:0.245440:0.745772:0.206116:0.745772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.245440:0.762161:0.254709:0.762161:0.254709:0.745800:0.245440:0.745800:0.000000 12:@0.254708:0.765325:0.265193:0.765325:0.265193:0.755770:0.254708:0.755770:0.000000:0.000000 = 1, :@0.265193:0.762161:0.304518:0.762161:0.304518:0.745772:0.265193:0.745772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.304518:0.762161:0.313787:0.762161:0.313787:0.745800:0.304518:0.745800:0.000000 21:@0.313785:0.765325:0.324270:0.765325:0.324270:0.755770:0.313785:0.755770:0.000000:0.000000 = 5, :@0.324270:0.762161:0.363595:0.762161:0.363595:0.745772:0.324270:0.745772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.363595:0.762161:0.372864:0.762161:0.372864:0.745800:0.363595:0.745800:0.000000 22:@0.372864:0.765325:0.383349:0.765325:0.383349:0.755770:0.372864:0.755770:0.000000:0.000000 = 17:@0.383349:0.762161:0.420389:0.762161:0.420389:0.745772:0.383349:0.745772:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153114:0.833276:0.156929:0.833276:0.156929:0.816376:0.153114:0.816376:0.000000 b) :@0.153119:0.850936:0.173150:0.850936:0.173150:0.834036:0.153119:0.834036:0.000000:0.000000:0.000000 a:@0.186363:0.850936:0.195632:0.850936:0.195632:0.834575:0.186363:0.834575:0.000000 11:@0.195630:0.854100:0.206116:0.854100:0.206116:0.844545:0.195630:0.844545:0.000000:0.000000 = 23, :@0.206116:0.850936:0.254433:0.850936:0.254433:0.834547:0.206116:0.834547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.254433:0.850936:0.263702:0.850936:0.263702:0.834575:0.254433:0.834575:0.000000 12:@0.263700:0.854100:0.274186:0.854100:0.274186:0.844545:0.263700:0.844545:0.000000:0.000000 = –21, :@0.274186:0.850936:0.331717:0.850936:0.331717:0.834547:0.274186:0.834547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.331717:0.850936:0.340986:0.850936:0.340986:0.834575:0.331717:0.834575:0.000000 21:@0.340984:0.854100:0.351470:0.854100:0.351470:0.844545:0.340984:0.844545:0.000000:0.000000 = 0, :@0.351469:0.850936:0.390794:0.850936:0.390794:0.834547:0.351469:0.834547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.390794:0.850936:0.400063:0.850936:0.400063:0.834575:0.390794:0.834575:0.000000 22:@0.400063:0.854100:0.410549:0.854100:0.410549:0.844545:0.400063:0.844545:0.000000:0.000000 = –7:@0.410547:0.850936:0.447807:0.850936:0.447807:0.834547:0.410547:0.834547:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153113:0.865818:0.156927:0.865818:0.156927:0.848917:0.153113:0.848917:0.000000 3. :@0.514246:0.558509:0.532987:0.558509:0.532987:0.541374:0.514246:0.541374:0.000000:0.000000:0.000000 Determina:@0.547489:0.558509:0.629179:0.558509:0.629179:0.541885:0.547489:0.541885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.629179:0.558509:0.633215:0.558509:0.633215:0.542121:0.629179:0.542121:0.000000 x, y, z:@0.634634:0.558509:0.671802:0.558509:0.671802:0.542148:0.634634:0.542148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en cada caso, según corres-:@0.671802:0.558509:0.884623:0.558509:0.884623:0.542121:0.671802:0.542121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ponda, de tal forma que se cumpla con la :@0.547489:0.575106:0.888677:0.575106:0.888677:0.558717:0.547489:0.558717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 igualdad de matrices. :@0.547489:0.591702:0.708506:0.591702:0.708506:0.575313:0.547489:0.575313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.547489:0.624853:0.566212:0.624853:0.566212:0.607953:0.547489:0.607953:0.000000:0.000000:0.000000 A:@0.580733:0.624853:0.590628:0.624853:0.590628:0.608492:0.580733:0.608492:0.000000 = :@0.590628:0.624853:0.609683:0.624853:0.609683:0.608465:0.590628:0.608465:0.000000:0.000000:0.000000 11 –3:@0.614003:0.616054:0.661933:0.616054:0.661933:0.599665:0.614003:0.599665:0.000000:0.000000:0.000000:0.000000:0.000000 –3:@0.614003:0.634600:0.632209:0.634600:0.632209:0.618211:0.614003:0.618211:0.000000:0.000000 0 :@0.652941:0.634600:0.665969:0.634600:0.665969:0.618211:0.652941:0.618211:0.000000:0.000000 y = :@0.665361:0.624850:0.725582:0.624850:0.725582:0.608461:0.665361:0.608461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.697683:0.624850:0.706528:0.624850:0.706528:0.608488:0.697683:0.608488:0.000000 :@0.729911:0.616054:0.733947:0.616054:0.733947:0.599665:0.729911:0.599665:0.000000 x:@0.733947:0.616054:0.741410:0.616054:0.741410:0.599692:0.733947:0.599692:0.000000 y:@0.767835:0.616054:0.775317:0.616054:0.775317:0.599692:0.767835:0.599692:0.000000 –3 0 :@0.729911:0.634600:0.779353:0.634600:0.779353:0.618211:0.729911:0.618211:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.547478:0.690101:0.551292:0.690101:0.551292:0.673200:0.547478:0.673200:0.000000 b) :@0.547486:0.719677:0.567517:0.719677:0.567517:0.702776:0.547486:0.702776:0.000000:0.000000:0.000000 A:@0.580729:0.719677:0.590625:0.719677:0.590625:0.703315:0.580729:0.703315:0.000000 = :@0.590625:0.719677:0.609679:0.719677:0.609679:0.703288:0.590625:0.703288:0.000000:0.000000:0.000000 :@0.614003:0.710879:0.618039:0.710879:0.618039:0.694490:0.614003:0.694490:0.000000 x:@0.618039:0.710879:0.625502:0.710879:0.625502:0.694518:0.618039:0.694518:0.000000 2:@0.649144:0.710879:0.658137:0.710879:0.658137:0.694490:0.649144:0.694490:0.000000 7:@0.614003:0.729426:0.627031:0.729426:0.627031:0.713037:0.614003:0.713037:0.000000:0.000000 1 :@0.649144:0.729426:0.662173:0.729426:0.662173:0.713037:0.649144:0.713037:0.000000:0.000000 y = :@0.665379:0.719675:0.725601:0.719675:0.725601:0.703286:0.665379:0.703286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.697701:0.719675:0.706547:0.719675:0.706547:0.703314:0.697701:0.703314:0.000000 2:@0.729911:0.710879:0.742939:0.710879:0.742939:0.694490:0.729911:0.694490:0.000000:0.000000 2:@0.766324:0.710879:0.775317:0.710879:0.775317:0.694490:0.766324:0.694490:0.000000 :@0.729911:0.729426:0.733947:0.729426:0.733947:0.713037:0.729911:0.713037:0.000000 y:@0.733947:0.729426:0.741428:0.729426:0.741428:0.713064:0.733947:0.713064:0.000000 1 :@0.766324:0.729426:0.779353:0.729426:0.779353:0.713037:0.766324:0.713037:0.000000:0.000000 :@0.547478:0.784927:0.551292:0.784927:0.551292:0.768026:0.547478:0.768026:0.000000 c) :@0.547486:0.827386:0.565121:0.827386:0.565121:0.810485:0.547486:0.810485:0.000000:0.000000:0.000000 A:@0.580729:0.827386:0.590625:0.827386:0.590625:0.811025:0.580729:0.811025:0.000000 = 8:@0.590625:0.827386:0.628591:0.827815:0.628591:0.811426:0.590625:0.810997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.615563:0.809268:0.619598:0.809268:0.619598:0.792879:0.615563:0.792879:0.000000 x:@0.619598:0.809268:0.627061:0.809268:0.627061:0.792907:0.619598:0.792907:0.000000 –4 1 :@0.646890:0.809268:0.701784:0.809268:0.701784:0.792879:0.646890:0.792879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.652252:0.827815:0.659734:0.827815:0.659734:0.811453:0.652252:0.811453:0.000000 :@0.674844:0.827815:0.686951:0.827815:0.686951:0.811426:0.674844:0.811426:0.000000:0.000000:0.000000 z:@0.686951:0.827815:0.694193:0.827815:0.694193:0.811453:0.686951:0.811453:0.000000 1:@0.615563:0.846361:0.628591:0.846361:0.628591:0.829972:0.615563:0.829972:0.000000:0.000000 0 1:@0.651497:0.846361:0.691908:0.846361:0.691908:0.829972:0.651497:0.829972:0.000000:0.000000:0.000000:0.000000:0.000000 y = 8 –2 0:@0.707259:0.827400:0.853752:0.827815:0.853752:0.811426:0.707259:0.811011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.739581:0.827400:0.748426:0.827400:0.748426:0.811038:0.739581:0.811038:0.000000 2 –4 1 :@0.773370:0.809268:0.859591:0.809268:0.859591:0.792879:0.773370:0.792879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.773370:0.846361:0.786399:0.846361:0.786399:0.829972:0.773370:0.829972:0.000000:0.000000 0 1:@0.809304:0.846361:0.853752:0.846361:0.853752:0.829972:0.809304:0.829972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.547484:0.905001:0.551299:0.905001:0.551299:0.888101:0.547484:0.888101:0.000000 1. :@0.119879:0.369672:0.138620:0.369672:0.138620:0.352536:0.119879:0.352536:0.000000:0.000000:0.000000 Determina:@0.153122:0.369672:0.234812:0.369672:0.234812:0.353048:0.153122:0.353048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los elementos de las filas y las columnas de cada matriz.:@0.234812:0.369672:0.646226:0.369672:0.646226:0.353283:0.234812:0.353283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Taller:@0.180515:0.328433:0.241410:0.328433:0.241410:0.294486:0.180515:0.294486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I.M.5.2.2. Opera con matrices de hasta tercer orden, calcula el determinante, la matriz inversa y las aplica en sistemas de ecuaciones. :@0.261536:0.311179:0.882448:0.311179:0.882448:0.300750:0.261536:0.300750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (I.3.):@0.261536:0.321741:0.280029:0.321741:0.280029:0.311311:0.261536:0.311311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.153801:0.399428:0.172524:0.399428:0.172524:0.382528:0.153801:0.382528:0.000000:0.000000:0.000000 A:@0.187045:0.399428:0.196940:0.399428:0.196940:0.383067:0.187045:0.383067:0.000000 = :@0.196940:0.399428:0.215995:0.399428:0.215995:0.383039:0.196940:0.383039:0.000000:0.000000:0.000000 2 –3:@0.220318:0.390631:0.266609:0.390631:0.266609:0.374242:0.220318:0.374242:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.220318:0.409177:0.233347:0.409177:0.233347:0.392788:0.220318:0.392788:0.000000:0.000000 1 :@0.257616:0.409177:0.270644:0.409177:0.270644:0.392788:0.257616:0.392788:0.000000:0.000000 :@0.153813:0.426714:0.157627:0.426714:0.157627:0.409813:0.153813:0.409813:0.000000 ____________________________________:@0.187056:0.426714:0.486506:0.426714:0.486506:0.409813:0.187056:0.409813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153813:0.450433:0.157627:0.450433:0.157627:0.433532:0.153813:0.433532:0.000000 ____________________________________:@0.187056:0.450433:0.486506:0.450433:0.486506:0.433532:0.187056:0.433532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.153813:0.483584:0.173844:0.483584:0.173844:0.466684:0.153813:0.466684:0.000000:0.000000:0.000000 B:@0.187056:0.483584:0.195902:0.483584:0.195902:0.467223:0.187056:0.467223:0.000000 = :@0.195902:0.483584:0.214956:0.483584:0.214956:0.467195:0.195902:0.467195:0.000000:0.000000:0.000000 –5 –4:@0.219268:0.474793:0.265558:0.474793:0.265558:0.458404:0.219268:0.458404:0.000000:0.000000:0.000000:0.000000:0.000000 8 12:@0.219268:0.493340:0.265558:0.493340:0.265558:0.476951:0.219268:0.476951:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153813:0.510877:0.157627:0.510877:0.157627:0.493976:0.153813:0.493976:0.000000 ____________________________________:@0.187056:0.510877:0.486506:0.510877:0.486506:0.493976:0.187056:0.493976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153813:0.534596:0.157627:0.534596:0.157627:0.517695:0.153813:0.517695:0.000000 ____________________________________:@0.187056:0.534596:0.486506:0.534596:0.486506:0.517695:0.187056:0.517695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.153813:0.567747:0.171448:0.567747:0.171448:0.550846:0.153813:0.550846:0.000000:0.000000:0.000000 C:@0.187056:0.567747:0.196970:0.567747:0.196970:0.551386:0.187056:0.551386:0.000000 = :@0.196970:0.567747:0.216025:0.567747:0.216025:0.551358:0.196970:0.551358:0.000000:0.000000:0.000000 1:@0.220337:0.558955:0.233365:0.558955:0.233365:0.542566:0.220337:0.542566:0.000000:0.000000 7:@0.254981:0.558955:0.263973:0.558955:0.263973:0.542566:0.254981:0.542566:0.000000 9:@0.220337:0.577501:0.233365:0.577501:0.233365:0.561112:0.220337:0.561112:0.000000:0.000000 0 :@0.254981:0.577501:0.268009:0.577501:0.268009:0.561112:0.254981:0.561112:0.000000:0.000000 :@0.153795:0.595038:0.157609:0.595038:0.157609:0.578137:0.153795:0.578137:0.000000 ____________________________________:@0.187038:0.595038:0.486487:0.595038:0.486487:0.578137:0.187038:0.578137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153795:0.618757:0.157609:0.618757:0.157609:0.601856:0.153795:0.601856:0.000000 ____________________________________:@0.187038:0.618757:0.486487:0.618757:0.486487:0.601856:0.187038:0.601856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d) :@0.153795:0.651908:0.173862:0.651908:0.173862:0.635007:0.153795:0.635007:0.000000:0.000000:0.000000 D:@0.187038:0.651908:0.198574:0.651908:0.198574:0.635547:0.187038:0.635547:0.000000 = :@0.198574:0.651908:0.217628:0.651908:0.217628:0.635519:0.198574:0.635519:0.000000:0.000000:0.000000 –5 –4:@0.221958:0.643117:0.268249:0.643117:0.268249:0.626728:0.221958:0.626728:0.000000:0.000000:0.000000:0.000000:0.000000 8 12 :@0.221958:0.661663:0.272284:0.661663:0.272284:0.645275:0.221958:0.645275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153813:0.679200:0.157627:0.679200:0.157627:0.662300:0.153813:0.662300:0.000000 ____________________________________:@0.187056:0.679200:0.486506:0.679200:0.486506:0.662300:0.187056:0.662300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153813:0.702919:0.157627:0.702919:0.157627:0.686019:0.153813:0.686019:0.000000 ____________________________________:@0.187056:0.702919:0.486506:0.702919:0.486506:0.686019:0.187056:0.686019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.119888:0.099835:0.143733:0.099835:0.143733:0.082934:0.119888:0.082934:0.000000:0.000000:0.000000:0.000000 Dadas las siguientes matrices, :@0.153131:0.099835:0.374169:0.099835:0.374169:0.083446:0.153131:0.083446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 determinemos:@0.374169:0.099835:0.487036:0.099835:0.487036:0.083211:0.374169:0.083211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los valores de:@0.487036:0.099835:0.590137:0.099835:0.590137:0.083446:0.487036:0.083446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x, y, z w:@0.590137:0.099835:0.657195:0.099835:0.657195:0.083473:0.590137:0.083473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y para que A y B sean iguales.:@0.628282:0.099835:0.863493:0.099835:0.863493:0.083446:0.628282:0.083446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = ⎜ = ⎜:@0.169817:0.139064:0.229118:0.143444:0.229118:0.125423:0.169817:0.121043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.215204:0.128691:0.164436:0.128691:0.164436:0.110670:0.215204:0.110670:0.000000 + ⎛:@0.276089:0.128691:0.229118:0.128051:0.229118:0.110030:0.276089:0.110670:0.000000:0.000000:0.000000 −:@0.215204:0.149519:0.168821:0.149519:0.168821:0.131499:0.215204:0.131499:0.000000 −:@0.271694:0.149519:0.225311:0.149519:0.225311:0.131499:0.271694:0.131499:0.000000 ⎛:@0.183213:0.125745:0.190290:0.125745:0.190290:0.107724:0.183213:0.107724:0.000000 ⎝:@0.183213:0.153599:0.190290:0.153599:0.190290:0.135579:0.183213:0.135579:0.000000 ⎞:@0.312686:0.125731:0.319762:0.125731:0.319762:0.107710:0.312686:0.107710:0.000000 ⎠ −:@0.312686:0.153586:0.264140:0.151825:0.264140:0.133804:0.312686:0.135565:0.000000:0.000000:0.000000 ⎟:@0.312686:0.141124:0.319762:0.141124:0.319762:0.123104:0.312686:0.123104:0.000000 =:@0.368229:0.139064:0.378345:0.139064:0.378345:0.121043:0.368229:0.121043:0.000000 ⎛:@0.381625:0.128608:0.388702:0.128608:0.388702:0.110587:0.381625:0.110587:0.000000 ⎝:@0.381625:0.150723:0.388702:0.150723:0.388702:0.132702:0.381625:0.132702:0.000000 ⎜:@0.381625:0.144001:0.388702:0.144001:0.388702:0.125980:0.381625:0.125980:0.000000 ⎞:@0.446325:0.128594:0.453401:0.128594:0.453401:0.110573:0.446325:0.110573:0.000000 ⎠:@0.446325:0.150709:0.453401:0.150709:0.453401:0.132688:0.446325:0.132688:0.000000 ⎟:@0.446325:0.143987:0.453401:0.143987:0.453401:0.125966:0.446325:0.125966:0.000000 A:@0.157202:0.138468:0.167098:0.138468:0.167098:0.122107:0.157202:0.122107:0.000000 x y x y:@0.203842:0.128095:0.275859:0.130401:0.275859:0.114040:0.203842:0.111734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 zw zw:@0.265146:0.128095:0.340113:0.130401:0.340113:0.114040:0.265146:0.111734:0.000000:0.000000:0.000000:0.000000:0.000000 x y x y:@0.203842:0.148924:0.275859:0.151229:0.275859:0.134868:0.203842:0.132562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 zw zw:@0.260749:0.148924:0.335716:0.151229:0.335716:0.134868:0.260749:0.132562:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.355612:0.138468:0.364458:0.138468:0.364458:0.122107:0.355612:0.122107:0.000000 x:@0.328703:0.156346:0.333028:0.156346:0.333028:0.146864:0.328703:0.146864:0.000000 X:@0.462145:0.153477:0.467400:0.153477:0.467400:0.143995:0.462145:0.143995:0.000000 2:@0.255254:0.128096:0.264246:0.128096:0.264246:0.111707:0.255254:0.111707:0.000000 35 35:@0.400790:0.130964:0.474834:0.133271:0.474834:0.116882:0.400790:0.114575:0.000000:0.000000:0.000000:0.000000:0.000000 14 14:@0.401361:0.148916:0.474631:0.151223:0.474631:0.134834:0.401361:0.132527:0.000000:0.000000:0.000000:0.000000:0.000000 22:@0.322159:0.156346:0.339621:0.156346:0.339621:0.146848:0.322159:0.146848:0.000000:0.000000 2 2:@0.455815:0.153477:0.474638:0.153477:0.474638:0.143979:0.455815:0.143979:0.000000:0.000000:0.000000 y :@0.347338:0.140623:0.379660:0.140623:0.379660:0.124234:0.347338:0.124234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.254033:0.130997:0.203264:0.130997:0.203264:0.112976:0.254033:0.112976:0.000000 +:@0.314917:0.130997:0.264149:0.130997:0.264149:0.112976:0.314917:0.112976:0.000000 −:@0.254033:0.151825:0.207650:0.151825:0.207650:0.133804:0.254033:0.133804:0.000000 ⎝:@0.222042:0.155905:0.229118:0.155905:0.229118:0.137884:0.222042:0.137884:0.000000 ⎞:@0.351515:0.128037:0.358591:0.128037:0.358591:0.110016:0.351515:0.110016:0.000000 ⎠:@0.351515:0.155891:0.358591:0.155891:0.358591:0.137871:0.351515:0.137871:0.000000 ⎟:@0.351515:0.143430:0.358591:0.143430:0.358591:0.125409:0.351515:0.125409:0.000000 =:@0.407057:0.141370:0.417174:0.141370:0.417174:0.123349:0.407057:0.123349:0.000000 ⎛:@0.420454:0.130914:0.427530:0.130914:0.427530:0.112893:0.420454:0.112893:0.000000 ⎝:@0.420454:0.153029:0.427530:0.153029:0.427530:0.135008:0.420454:0.135008:0.000000 ⎜:@0.420454:0.146307:0.427530:0.146307:0.427530:0.128286:0.420454:0.128286:0.000000 ⎞:@0.485154:0.130900:0.492230:0.130900:0.492230:0.112879:0.485154:0.112879:0.000000 ⎠:@0.485154:0.153015:0.492230:0.153015:0.492230:0.134994:0.485154:0.134994:0.000000 ⎟:@0.485154:0.146293:0.492230:0.146293:0.492230:0.128272:0.485154:0.128272:0.000000 A:@0.196032:0.140774:0.205928:0.140774:0.205928:0.124412:0.196032:0.124412:0.000000 B:@0.394443:0.140774:0.403288:0.140774:0.403288:0.124412:0.394443:0.124412:0.000000 x:@0.367532:0.158652:0.371857:0.158652:0.371857:0.149170:0.367532:0.149170:0.000000 X:@0.500975:0.155784:0.506229:0.155784:0.506229:0.146302:0.500975:0.146302:0.000000 2:@0.294082:0.130402:0.303075:0.130402:0.303075:0.114013:0.294082:0.114013:0.000000 22:@0.360988:0.158652:0.378449:0.158652:0.378449:0.149154:0.360988:0.149154:0.000000:0.000000 2 2:@0.494644:0.155783:0.513467:0.155783:0.513467:0.146285:0.494644:0.146285:0.000000:0.000000:0.000000 Entonces A y B son iguales, si y solo si :@0.153116:0.180944:0.434705:0.180944:0.434705:0.164556:0.153116:0.164556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x + y:@0.434705:0.180944:0.467267:0.180944:0.467267:0.164583:0.434705:0.164583:0.000000:0.000000:0.000000:0.000000:0.000000 = 3; 2:@0.467267:0.180944:0.539798:0.180944:0.539798:0.164556:0.467267:0.164556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z + w :@0.539798:0.180944:0.580707:0.180944:0.580707:0.164583:0.539798:0.164583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 5; :@0.580707:0.180944:0.640210:0.180944:0.640210:0.164556:0.580707:0.164556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x – y:@0.640210:0.180944:0.671003:0.180944:0.671003:0.164583:0.640210:0.164583:0.000000:0.000000:0.000000:0.000000:0.000000 = 1; :@0.671003:0.180944:0.734541:0.180944:0.734541:0.164556:0.671003:0.164556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z – w:@0.734541:0.180944:0.770365:0.180944:0.770365:0.164583:0.734541:0.164583:0.000000:0.000000:0.000000:0.000000:0.000000 = 4:@0.770365:0.180944:0.798411:0.180944:0.798411:0.164556:0.770365:0.164556:0.000000:0.000000:0.000000:0.000000 Resolvemos:@0.153116:0.201109:0.244794:0.201109:0.244794:0.184485:0.153116:0.184485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el sistema de ecuaciones y :@0.244794:0.201109:0.447367:0.201109:0.447367:0.184720:0.244794:0.184720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtenemos:@0.447367:0.201109:0.535432:0.201109:0.535432:0.184485:0.447367:0.184485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 2; = 1; = 3; = –1:@0.535432:0.201109:0.728904:0.201109:0.728904:0.184720:0.535432:0.184720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.539468:0.201109:0.546931:0.201109:0.546931:0.184748:0.539468:0.184748:0.000000 y:@0.586256:0.201109:0.593737:0.201109:0.593737:0.184748:0.586256:0.184748:0.000000 z :@0.633062:0.201109:0.643621:0.201109:0.643621:0.184748:0.633062:0.184748:0.000000:0.000000 w:@0.678910:0.201109:0.691643:0.201109:0.691643:0.184748:0.678910:0.184748:0.000000 Comprobamos,:@0.153116:0.221274:0.271293:0.221274:0.271293:0.204650:0.153116:0.204650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para ello :@0.271293:0.221274:0.342294:0.221274:0.342294:0.204885:0.271293:0.204885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 reemplazamos:@0.342294:0.221274:0.455237:0.221274:0.455237:0.204650:0.342294:0.204650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los valores de las incógnitas en la matriz A::@0.455237:0.221274:0.769060:0.221274:0.769060:0.204885:0.455237:0.204885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.186249:0.247814:0.196366:0.247814:0.196366:0.229793:0.186249:0.229793:0.000000 −:@0.252625:0.247814:0.262742:0.247814:0.262742:0.229793:0.252625:0.229793:0.000000 −:@0.186249:0.267495:0.196366:0.267495:0.196366:0.249474:0.186249:0.249474:0.000000 −−:@0.231902:0.267495:0.260557:0.267495:0.260557:0.249474:0.231902:0.249474:0.000000:0.000000 ⎛:@0.155733:0.244868:0.162809:0.244868:0.162809:0.226847:0.155733:0.226847:0.000000 ⎝:@0.155733:0.270440:0.162809:0.270440:0.162809:0.252420:0.155733:0.252420:0.000000 ⎜:@0.155733:0.260261:0.162809:0.260261:0.162809:0.242240:0.155733:0.242240:0.000000 ⎞:@0.281741:0.244854:0.288817:0.244854:0.288817:0.226833:0.281741:0.226833:0.000000 ⎠:@0.281741:0.270427:0.288817:0.270427:0.288817:0.252406:0.281741:0.252406:0.000000 ⎟:@0.281741:0.260247:0.288817:0.260247:0.288817:0.242227:0.281741:0.242227:0.000000 =:@0.293995:0.257025:0.304112:0.257025:0.304112:0.239004:0.293995:0.239004:0.000000 ⎛:@0.307392:0.246569:0.314468:0.246569:0.314468:0.228548:0.307392:0.228548:0.000000 ⎝:@0.307392:0.268684:0.314468:0.268684:0.314468:0.250663:0.307392:0.250663:0.000000 ⎜:@0.307392:0.261962:0.314468:0.261962:0.314468:0.243942:0.307392:0.243942:0.000000 ⎞:@0.372092:0.246555:0.379168:0.246555:0.379168:0.228535:0.372092:0.228535:0.000000 ⎠:@0.372092:0.268670:0.379168:0.268670:0.379168:0.250649:0.372092:0.250649:0.000000 ⎟:@0.372092:0.261949:0.379168:0.261949:0.379168:0.243928:0.372092:0.243928:0.000000 2 1 2(3) 1:@0.174879:0.247164:0.273340:0.247164:0.273340:0.230775:0.174879:0.230775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 1 3 ( 1):@0.174879:0.266845:0.272052:0.266845:0.272052:0.250456:0.174879:0.250456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 35:@0.326539:0.248893:0.361754:0.248893:0.361754:0.232504:0.326539:0.232504:0.000000:0.000000 14:@0.327110:0.266845:0.361551:0.266845:0.361551:0.250456:0.327110:0.250456:0.000000:0.000000 c) :@0.546859:0.399574:0.564495:0.399574:0.564495:0.382673:0.546859:0.382673:0.000000:0.000000:0.000000 a:@0.580103:0.399574:0.589372:0.399574:0.589372:0.383213:0.580103:0.383213:0.000000 11:@0.589390:0.402788:0.599876:0.402788:0.599876:0.393233:0.589390:0.393233:0.000000:0.000000 = 6, :@0.599876:0.399626:0.639200:0.399626:0.639200:0.383237:0.599876:0.383237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.639200:0.399626:0.648469:0.399626:0.648469:0.383264:0.639200:0.383264:0.000000 12:@0.648468:0.402788:0.658953:0.402788:0.658953:0.393233:0.648468:0.393233:0.000000:0.000000 = 11, :@0.658953:0.399626:0.707270:0.399626:0.707270:0.383237:0.658953:0.383237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.707270:0.399626:0.716539:0.399626:0.716539:0.383264:0.707270:0.383264:0.000000 13:@0.716538:0.402788:0.727023:0.402788:0.727023:0.393233:0.716538:0.393233:0.000000:0.000000 = 1,:@0.727023:0.399626:0.758276:0.399626:0.758276:0.383237:0.727023:0.383237:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.546874:0.419790:0.550910:0.419790:0.550910:0.403401:0.546874:0.403401:0.000000 a:@0.580118:0.419790:0.589387:0.419790:0.589387:0.403429:0.580118:0.403429:0.000000 21:@0.589390:0.422949:0.599876:0.422949:0.599876:0.413394:0.589390:0.413394:0.000000:0.000000 = 5, :@0.599876:0.419785:0.639200:0.419785:0.639200:0.403396:0.599876:0.403396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.639200:0.419785:0.648469:0.419785:0.648469:0.403424:0.639200:0.403424:0.000000 22:@0.648468:0.422949:0.658953:0.422949:0.658953:0.413394:0.648468:0.413394:0.000000:0.000000 = 0, :@0.658953:0.419785:0.702313:0.419785:0.702313:0.403396:0.658953:0.403396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.702313:0.419785:0.711582:0.419785:0.711582:0.403424:0.702313:0.403424:0.000000 23:@0.711581:0.422949:0.722066:0.422949:0.722066:0.413394:0.711581:0.413394:0.000000:0.000000 = 4,:@0.722066:0.419785:0.753319:0.419785:0.753319:0.403396:0.722066:0.403396:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.546874:0.439950:0.550910:0.439950:0.550910:0.423561:0.546874:0.423561:0.000000 a:@0.580118:0.439950:0.589387:0.439950:0.589387:0.423588:0.580118:0.423588:0.000000 31:@0.589390:0.443110:0.599876:0.443110:0.599876:0.433555:0.589390:0.433555:0.000000:0.000000 = 1, :@0.599876:0.439946:0.639200:0.439946:0.639200:0.423557:0.599876:0.423557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.639200:0.439946:0.648469:0.439946:0.648469:0.423585:0.639200:0.423585:0.000000 32:@0.648468:0.443110:0.658953:0.443110:0.658953:0.433555:0.648468:0.433555:0.000000:0.000000 = 3, :@0.658953:0.439946:0.698278:0.439946:0.698278:0.423557:0.658953:0.423557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.698278:0.439946:0.707547:0.439946:0.707547:0.423585:0.698278:0.423585:0.000000 33:@0.707545:0.443110:0.718031:0.443110:0.718031:0.433555:0.707545:0.433555:0.000000:0.000000 = 14:@0.718030:0.439946:0.755070:0.439946:0.755070:0.423557:0.718030:0.423557:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.546874:0.514616:0.550910:0.514616:0.550910:0.498227:0.546874:0.498227:0.000000