﻿19:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
Sistemas de ecuaciones por eliminación gaussiana:@0.120102:0.104791:0.628125:0.104791:0.628125:0.083281:0.120102:0.083281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El método consiste en la eliminación de incógnitas para reducir el sistema dado a un equivalente más :@0.120102:0.124009:0.888643:0.124009:0.888643:0.107620:0.120102:0.107620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simple, mediante la aplicación de operaciones elementales entre filas.:@0.120102:0.140605:0.630269:0.140605:0.630269:0.124216:0.120102:0.124216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.120102:0.173281:0.277224:0.173281:0.277224:0.154844:0.120102:0.154844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos:@0.120102:0.189563:0.211540:0.189563:0.211540:0.172939:0.120102:0.172939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el sistema de ecuaciones por eliminación gaussiana::@0.211540:0.189563:0.596678:0.189563:0.596678:0.173174:0.211540:0.173174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.453398:0.217815:0.461603:0.217815:0.461603:0.202862:0.453398:0.202862:0.000000
4:@0.485998:0.217815:0.494203:0.217815:0.494203:0.202862:0.485998:0.202862:0.000000
6:@0.519362:0.217815:0.527567:0.217815:0.527567:0.202862:0.519362:0.202862:0.000000
7:@0.551963:0.217815:0.560167:0.217815:0.560167:0.202862:0.551963:0.202862:0.000000
5:@0.453869:0.236465:0.462073:0.236465:0.462073:0.221512:0.453869:0.221512:0.000000
2:@0.485813:0.236465:0.494018:0.236465:0.494018:0.221512:0.485813:0.221512:0.000000
4:@0.518809:0.236465:0.527014:0.236465:0.527014:0.221512:0.518809:0.221512:0.000000
5:@0.552119:0.236465:0.560324:0.236465:0.560324:0.221512:0.552119:0.221512:0.000000
3:@0.482972:0.255115:0.491177:0.255115:0.491177:0.240162:0.482972:0.240162:0.000000
5:@0.514917:0.255115:0.523121:0.255115:0.523121:0.240162:0.514917:0.240162:0.000000
3:@0.547176:0.255115:0.555381:0.255115:0.555381:0.240162:0.547176:0.240162:0.000000
x:@0.462540:0.217815:0.469349:0.217815:0.469349:0.202887:0.462540:0.202887:0.000000
y:@0.496218:0.217815:0.503044:0.217815:0.503044:0.202887:0.496218:0.202887:0.000000
z:@0.528852:0.217815:0.535459:0.217815:0.535459:0.202887:0.528852:0.202887:0.000000
x:@0.463010:0.236465:0.469820:0.236465:0.469820:0.221537:0.463010:0.221537:0.000000
y:@0.495325:0.236465:0.502151:0.236465:0.502151:0.221537:0.495325:0.221537:0.000000
z:@0.528635:0.236465:0.535242:0.236465:0.535242:0.221537:0.528635:0.221537:0.000000
x:@0.460169:0.255115:0.466978:0.255115:0.466978:0.240187:0.460169:0.240187:0.000000
y:@0.492114:0.255115:0.498940:0.255115:0.498940:0.240187:0.492114:0.240187:0.000000
z:@0.523689:0.255115:0.530296:0.255115:0.530296:0.240187:0.523689:0.240187:0.000000
⎧:@0.435377:0.216795:0.444513:0.216795:0.444513:0.198709:0.435377:0.198709:0.000000
⎨:@0.435377:0.239545:0.444513:0.239545:0.444513:0.221458:0.435377:0.221458:0.000000
⎪:@0.435377:0.229023:0.444513:0.229023:0.444513:0.210937:0.435377:0.210937:0.000000
⎩:@0.435377:0.262300:0.444513:0.262300:0.444513:0.244214:0.435377:0.244214:0.000000
⎪:@0.435377:0.253072:0.444513:0.253072:0.444513:0.234986:0.435377:0.234986:0.000000
−:@0.473258:0.218357:0.482488:0.218357:0.482488:0.201915:0.473258:0.201915:0.000000
+:@0.506937:0.218357:0.483382:0.218357:0.483382:0.201915:0.506937:0.201915:0.000000
=:@0.539722:0.218357:0.516167:0.218357:0.516167:0.201915:0.539722:0.201915:0.000000
+:@0.473730:0.237008:0.482961:0.237008:0.482961:0.220566:0.473730:0.220566:0.000000
−:@0.506045:0.237008:0.515275:0.237008:0.515275:0.220566:0.506045:0.220566:0.000000
=:@0.539520:0.237008:0.548750:0.237008:0.548750:0.220566:0.539520:0.220566:0.000000
+:@0.470906:0.255658:0.480136:0.255658:0.480136:0.239216:0.470906:0.239216:0.000000
−:@0.502850:0.255658:0.512081:0.255658:0.512081:0.239216:0.502850:0.239216:0.000000
=:@0.534577:0.255658:0.543807:0.255658:0.543807:0.239216:0.534577:0.239216:0.000000
Construimos:@0.120102:0.288561:0.217603:0.288561:0.217603:0.271937:0.120102:0.271937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la matriz ampliada del sistema y :@0.217603:0.288561:0.458817:0.288561:0.458817:0.272172:0.217603:0.272172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacemos:@0.458817:0.288561:0.528086:0.288561:0.528086:0.271937:0.458817:0.271937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 operaciones entre filas: :@0.528086:0.288561:0.704457:0.288561:0.704457:0.272172:0.528086:0.272172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.205539:0.316724:0.213715:0.316724:0.213715:0.301825:0.205539:0.301825:0.000000
4:@0.237938:0.316724:0.246114:0.316724:0.246114:0.301825:0.237938:0.301825:0.000000
6:@0.267037:0.316724:0.275213:0.316724:0.275213:0.301825:0.267037:0.301825:0.000000
5:@0.205539:0.332717:0.213715:0.332717:0.213715:0.317818:0.205539:0.317818:0.000000
2:@0.233533:0.332717:0.241708:0.332717:0.241708:0.317818:0.233533:0.317818:0.000000
4:@0.271376:0.332717:0.279551:0.332717:0.279551:0.317818:0.271376:0.317818:0.000000
1:@0.206059:0.348710:0.214234:0.348710:0.214234:0.333811:0.206059:0.333811:0.000000
3:@0.233750:0.348710:0.241926:0.348710:0.241926:0.333811:0.233750:0.333811:0.000000
5:@0.271912:0.348710:0.280088:0.348710:0.280088:0.333811:0.271912:0.333811:0.000000
7:@0.305534:0.313267:0.313710:0.313267:0.313710:0.298368:0.305534:0.298368:0.000000
5:@0.306054:0.332717:0.314229:0.332717:0.314229:0.317818:0.306054:0.317818:0.000000
3:@0.306054:0.352167:0.314229:0.352167:0.314229:0.337268:0.306054:0.337268:0.000000
3:@0.425364:0.316724:0.433539:0.316724:0.433539:0.301825:0.425364:0.301825:0.000000
4:@0.458098:0.316724:0.466274:0.316724:0.466274:0.301825:0.458098:0.301825:0.000000
6:@0.490833:0.316724:0.499008:0.316724:0.499008:0.301825:0.490833:0.301825:0.000000
0 26:@0.424996:0.332717:0.465738:0.332717:0.465738:0.317818:0.424996:0.317818:0.000000:0.000000:0.000000:0.000000
42:@0.491536:0.332717:0.507736:0.332717:0.507736:0.317818:0.491536:0.317818:0.000000:0.000000
0 13:@0.424996:0.348710:0.465587:0.348710:0.465587:0.333811:0.424996:0.333811:0.000000:0.000000:0.000000:0.000000
21:@0.492793:0.348710:0.508992:0.348710:0.508992:0.333811:0.492793:0.333811:0.000000:0.000000
7:@0.537706:0.316724:0.545881:0.316724:0.545881:0.301825:0.537706:0.301825:0.000000
20:@0.538594:0.332717:0.554793:0.332717:0.554793:0.317818:0.538594:0.317818:0.000000:0.000000
2:@0.538024:0.348710:0.546199:0.348710:0.546199:0.333811:0.538024:0.333811:0.000000
3:@0.662779:0.316724:0.670954:0.316724:0.670954:0.301825:0.662779:0.301825:0.000000
4:@0.695513:0.316724:0.703689:0.316724:0.703689:0.301825:0.695513:0.301825:0.000000
6:@0.728248:0.316724:0.736423:0.316724:0.736423:0.301825:0.728248:0.301825:0.000000
0 26:@0.662411:0.332717:0.703153:0.332717:0.703153:0.317818:0.662411:0.317818:0.000000:0.000000:0.000000:0.000000
42:@0.728951:0.332717:0.745151:0.332717:0.745151:0.317818:0.728951:0.317818:0.000000:0.000000
0:@0.662411:0.348710:0.670586:0.348710:0.670586:0.333811:0.662411:0.333811:0.000000
0:@0.690990:0.348710:0.699165:0.348710:0.699165:0.333811:0.690990:0.333811:0.000000
0:@0.728097:0.348710:0.736272:0.348710:0.736272:0.333811:0.728097:0.333811:0.000000
7:@0.775121:0.316724:0.783296:0.316724:0.783296:0.301825:0.775121:0.301825:0.000000
20:@0.776009:0.332717:0.792208:0.332717:0.792208:0.317818:0.776009:0.317818:0.000000:0.000000
24:@0.771134:0.348710:0.787333:0.348710:0.787333:0.333811:0.771134:0.333811:0.000000:0.000000
3:@0.353641:0.332086:0.360181:0.332086:0.360181:0.320167:0.353641:0.320167:0.000000
2:@0.364483:0.336210:0.371023:0.336210:0.371023:0.324291:0.364483:0.324291:0.000000
5:@0.384009:0.332086:0.390549:0.332086:0.390549:0.320167:0.384009:0.320167:0.000000
1:@0.394007:0.336210:0.400547:0.336210:0.400547:0.324291:0.394007:0.324291:0.000000
3:@0.357045:0.348310:0.363585:0.348310:0.363585:0.336391:0.357045:0.336391:0.000000
3:@0.367887:0.352434:0.374427:0.352434:0.374427:0.340515:0.367887:0.340515:0.000000
1:@0.390603:0.352434:0.397143:0.352434:0.397143:0.340515:0.390603:0.340515:0.000000
2:@0.594728:0.344186:0.601268:0.344186:0.601268:0.332267:0.594728:0.332267:0.000000
3:@0.605878:0.348310:0.612418:0.348310:0.612418:0.336391:0.605878:0.336391:0.000000
2:@0.629425:0.348310:0.635965:0.348310:0.635965:0.336391:0.629425:0.336391:0.000000
f:@0.602809:0.344438:0.606227:0.344438:0.606227:0.332539:0.602809:0.332539:0.000000
f:@0.625753:0.344438:0.629171:0.344438:0.629171:0.332539:0.625753:0.332539:0.000000
f:@0.360985:0.333062:0.364402:0.333062:0.364402:0.321162:0.360985:0.321162:0.000000
f:@0.364389:0.349266:0.367806:0.349266:0.367806:0.337367:0.364389:0.337367:0.000000
f:@0.387226:0.349266:0.390643:0.349266:0.390643:0.337367:0.387226:0.337367:0.000000
f:@0.390107:0.333062:0.393525:0.333062:0.393525:0.321162:0.390107:0.321162:0.000000
−:@0.228887:0.317340:0.238084:0.317340:0.238084:0.303183:0.228887:0.303183:0.000000
−:@0.262342:0.333333:0.271539:0.333333:0.271539:0.319176:0.262342:0.319176:0.000000
−:@0.262861:0.349326:0.272058:0.349326:0.272058:0.335169:0.262861:0.335169:0.000000
−:@0.449030:0.317340:0.458227:0.317340:0.458227:0.303183:0.449030:0.303183:0.000000
−:@0.482485:0.333333:0.491682:0.333333:0.491682:0.319176:0.482485:0.319176:0.000000
−:@0.483741:0.349326:0.492938:0.349326:0.492938:0.335169:0.483741:0.335169:0.000000
−:@0.529542:0.333333:0.538739:0.333333:0.538739:0.319176:0.529542:0.319176:0.000000
−:@0.686445:0.317340:0.695642:0.317340:0.695642:0.303183:0.686445:0.303183:0.000000
−:@0.719900:0.333333:0.729097:0.333333:0.729097:0.319176:0.719900:0.319176:0.000000
−:@0.766957:0.333333:0.776154:0.333333:0.776154:0.319176:0.766957:0.319176:0.000000
−:@0.373640:0.332579:0.380997:0.332579:0.380997:0.321253:0.373640:0.321253:0.000000
−:@0.376735:0.348803:0.384093:0.348803:0.384093:0.337477:0.376735:0.337477:0.000000
−:@0.614727:0.344679:0.622084:0.344679:0.622084:0.333353:0.614727:0.333353:0.000000
Se puede observar en la última fila que 0   24, indicando que el sistema es inconsistente o incompatible, :@0.120102:0.388356:0.888688:0.388356:0.888688:0.371967:0.120102:0.371967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≠:@0.421855:0.389034:0.431971:0.389034:0.431971:0.373461:0.421855:0.373461:0.000000
es decir, el sistema no tiene solución.:@0.120102:0.404953:0.389697:0.404953:0.389697:0.388564:0.120102:0.388564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.119402:0.516093:0.138143:0.516093:0.138143:0.498957:0.119402:0.498957:0.000000:0.000000:0.000000
Escribe:@0.152645:0.516093:0.207394:0.516093:0.207394:0.499469:0.152645:0.499469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en forma matricial cada sistema de :@0.207394:0.516093:0.495584:0.516093:0.495584:0.499704:0.207394:0.499704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales que se propone.:@0.152645:0.532690:0.417850:0.532690:0.417850:0.516301:0.152645:0.516301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.152645:0.570266:0.171368:0.570266:0.171368:0.553366:0.152645:0.553366:0.000000:0.000000:0.000000
+ ⎪:@0.229651:0.559227:0.198329:0.561270:0.198329:0.543250:0.229651:0.541206:0.000000:0.000000:0.000000
=:@0.264258:0.559227:0.239768:0.559227:0.239768:0.541206:0.264258:0.541206:0.000000
− = −:@0.222322:0.580052:0.272427:0.580052:0.272427:0.562031:0.222322:0.562031:0.000000:0.000000:0.000000:0.000000:0.000000
⎧:@0.189226:0.556278:0.198329:0.556278:0.198329:0.538257:0.189226:0.538257:0.000000
⎨:@0.189226:0.571754:0.198329:0.571754:0.198329:0.553733:0.189226:0.553733:0.000000
⎩ ⎪:@0.189238:0.587283:0.198341:0.584964:0.198341:0.566943:0.189238:0.569262:0.000000:0.000000:0.000000
2:@0.208032:0.558634:0.217025:0.558634:0.217025:0.542245:0.208032:0.542245:0.000000
3:@0.242532:0.558634:0.251525:0.558634:0.251525:0.542245:0.242532:0.542245:0.000000
1:@0.276513:0.558634:0.285506:0.558634:0.285506:0.542245:0.276513:0.542245:0.000000
2:@0.272267:0.579459:0.281260:0.579459:0.281260:0.563070:0.272267:0.563070:0.000000
x:@0.218293:0.558630:0.225756:0.558630:0.225756:0.542269:0.218293:0.542269:0.000000
y:@0.252366:0.558630:0.259847:0.558630:0.259847:0.542269:0.252366:0.542269:0.000000
xy:@0.210959:0.579459:0.244147:0.579459:0.244147:0.563097:0.210959:0.563097:0.000000:0.000000
 :@0.152645:0.684141:0.156460:0.684141:0.156460:0.667241:0.152645:0.667241:0.000000
b) :@0.152645:0.719037:0.172676:0.719037:0.172676:0.702136:0.152645:0.702136:0.000000:0.000000:0.000000
–x:@0.197334:0.708777:0.214011:0.708777:0.214011:0.692416:0.197334:0.692416:0.000000:0.000000
 + 5  = 0:@0.214011:0.708777:0.277586:0.708777:0.277586:0.692388:0.214011:0.692388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.242058:0.708777:0.249540:0.708777:0.249540:0.692416:0.242058:0.692416:0.000000
    +   = 2:@0.197334:0.729730:0.267451:0.729730:0.267451:0.713341:0.197334:0.713341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.205405:0.729730:0.212869:0.729730:0.212869:0.713369:0.205405:0.713369:0.000000
y:@0.231923:0.729730:0.239404:0.729730:0.239404:0.713369:0.231923:0.713369:0.000000
 :@0.152647:0.832489:0.156462:0.832489:0.156462:0.815589:0.152647:0.815589:0.000000
c) :@0.152645:0.877474:0.170281:0.877474:0.170281:0.860573:0.152645:0.860573:0.000000:0.000000:0.000000
x:@0.197334:0.855867:0.204797:0.855867:0.204797:0.839506:0.197334:0.839506:0.000000
 +   +   = 1:@0.204797:0.855867:0.285676:0.855867:0.285676:0.839478:0.204797:0.839478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.223851:0.855867:0.231333:0.855867:0.231333:0.839506:0.223851:0.839506:0.000000
z:@0.250387:0.855867:0.257629:0.855867:0.257629:0.839506:0.250387:0.839506:0.000000
x y + z:@0.197334:0.876820:0.254423:0.876820:0.254423:0.860459:0.197334:0.860459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 – :@0.204797:0.876820:0.222082:0.876820:0.222082:0.860431:0.204797:0.860431:0.000000:0.000000:0.000000
 = –2:@0.254423:0.876820:0.291684:0.876820:0.291684:0.860431:0.254423:0.860431:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.197334:0.897773:0.204797:0.897773:0.204797:0.881412:0.197334:0.881412:0.000000
 +   = –1:@0.204797:0.897773:0.268594:0.897773:0.268594:0.881384:0.204797:0.881384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.223851:0.897773:0.231333:0.897773:0.231333:0.881412:0.223851:0.881412:0.000000
Taller:@0.180039:0.474855:0.240934:0.474855:0.240934:0.440908:0.180039:0.440908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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. :@0.261060:0.457601:0.881972:0.457601:0.881972:0.447172:0.261060:0.447172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(I.3.):@0.261060:0.468162:0.279553:0.468162:0.279553:0.457733:0.261060:0.457733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545667:0.591929:0.549481:0.591929:0.549481:0.575028:0.545667:0.575028:0.000000
d) :@0.545667:0.626824:0.565734:0.626824:0.565734:0.609923:0.545667:0.609923:0.000000:0.000000:0.000000
9  + 3  = 3:@0.590355:0.616564:0.670387:0.616564:0.670387:0.600175:0.590355:0.600175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.599348:0.616564:0.606811:0.616564:0.606811:0.600203:0.599348:0.600203:0.000000
y:@0.634858:0.616564:0.642340:0.616564:0.642340:0.600203:0.634858:0.600203:0.000000
x y:@0.590355:0.637517:0.622585:0.637517:0.622585:0.621156:0.590355:0.621156:0.000000:0.000000:0.000000
 –   = –5:@0.597819:0.637517:0.659846:0.637517:0.659846:0.621128:0.597819:0.621128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545668:0.740276:0.549483:0.740276:0.549483:0.723376:0.545668:0.723376:0.000000
e) :@0.545667:0.785262:0.564537:0.785262:0.564537:0.768362:0.545667:0.768362:0.000000:0.000000:0.000000
2x:@0.590355:0.763654:0.606332:0.763654:0.606332:0.747293:0.590355:0.747293:0.000000:0.000000
 +   + 5  = 1:@0.606332:0.763654:0.696204:0.763654:0.696204:0.747266:0.606332:0.747266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.625386:0.763654:0.632868:0.763654:0.632868:0.747293:0.625386:0.747293:0.000000
z:@0.660915:0.763654:0.668157:0.763654:0.668157:0.747293:0.660915:0.747293:0.000000
x:@0.590355:0.784607:0.597819:0.784607:0.597819:0.768246:0.590355:0.768246:0.000000
 – 4y +   = –3:@0.597819:0.784607:0.695761:0.784607:0.695761:0.768218:0.597819:0.768218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.651259:0.784607:0.658501:0.784607:0.658501:0.768246:0.651259:0.768246:0.000000
3  +  = 7:@0.590355:0.805560:0.660436:0.805560:0.660436:0.789171:0.590355:0.789171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  z:@0.599348:0.805560:0.632389:0.805560:0.632389:0.789199:0.599348:0.789199:0.000000:0.000000:0.000000:0.000000
 :@0.545668:0.906245:0.549483:0.906245:0.549483:0.889344:0.545668:0.889344:0.000000