83:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.9 Matriz escalonada reducida:@0.073089:0.136836:0.316904:0.136836:0.316904:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una matriz es escalonada reducida si es una matriz escalonada y el primer elemento :@0.073089:0.164199:0.710497:0.164199:0.710497:0.147766:0.073089:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferente de cero en cada fila es el 1 y es el único elemento distinto de 0 de la columna :@0.073089:0.180841:0.710812:0.180841:0.710812:0.164407:0.073089:0.164407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde esté.:@0.073089:0.197483:0.158300:0.197483:0.158300:0.181049:0.073089:0.181049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2 =:@0.073089:0.251181:0.160744:0.251181:0.160744:0.234747:0.073089:0.234747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.160597:0.251181:0.168586:0.251181:0.168586:0.234747:0.160597:0.234747:0.000000:0.000000
1 0 2 0:@0.176861:0.221040:0.253510:0.221040:0.253510:0.203859:0.176861:0.203859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 1 -1 0:@0.176861:0.242484:0.253510:0.242484:0.253510:0.225303:0.176861:0.225303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 0 0 1:@0.176861:0.263927:0.253510:0.263927:0.253510:0.246746:0.176861:0.246746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 0 0 0:@0.176861:0.285370:0.253510:0.285370:0.253510:0.268189:0.176861:0.268189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.263787:0.251183:0.283648:0.251183:0.283648:0.234749:0.263787:0.234749:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3 =:@0.283539:0.251183:0.371195:0.251183:0.371195:0.234749:0.283539:0.234749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.371048:0.251183:0.379036:0.251183:0.379036:0.234749:0.371048:0.234749:0.000000:0.000000
1 0 0 4:@0.387311:0.220146:0.463960:0.220146:0.463960:0.202965:0.387311:0.202965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 1 0 -2:@0.387311:0.241590:0.466827:0.241590:0.466827:0.224409:0.387311:0.224409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 0 1 5:@0.387311:0.263033:0.463960:0.263033:0.463960:0.245852:0.387311:0.245852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 0 0 0:@0.387311:0.284476:0.463960:0.284476:0.463960:0.267296:0.387311:0.267296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.10 Método de gaussiana para resolver sistemas de ecuaciones lineales :@0.073089:0.322552:0.640330:0.322552:0.640330:0.305605:0.073089:0.305605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.073089:0.346341:0.081593:0.346341:0.081593:0.329907:0.073089:0.329907:0.000000:0.000000
Dado un sistema de ecuaciones lineales, se genera una matriz ampliada con la matriz :@0.103290:0.346341:0.710450:0.346341:0.710450:0.329907:0.103290:0.329907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de coeficientes y el vector columna o matriz columna de los términos independientes.:@0.103217:0.362982:0.706082:0.362982:0.706082:0.346549:0.103217:0.346549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.073089:0.386771:0.081593:0.386771:0.081593:0.370338:0.073089:0.370338:0.000000:0.000000
Sobre la matriz ampliada se genera una matriz escalonada reducida.:@0.103290:0.386771:0.595245:0.386771:0.595245:0.370338:0.103290:0.370338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.073089:0.410560:0.081593:0.410560:0.081593:0.394127:0.073089:0.394127:0.000000:0.000000
Si aparece una matriz identidad de orden el número de ecuaciones del sistema, :@0.103290:0.410560:0.710457:0.410560:0.710457:0.394127:0.103290:0.394127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces el sistema tiene solución única.:@0.103217:0.427202:0.399356:0.427202:0.399356:0.410768:0.103217:0.410768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.073089:0.450992:0.081593:0.450992:0.081593:0.434559:0.073089:0.434559:0.000000:0.000000
Si alguna fila es de ceros excepto el término asociado al término independiente, :@0.103290:0.450992:0.709894:0.450992:0.709894:0.434559:0.103290:0.434559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces el sistema es inconsistente.:@0.103217:0.467634:0.369885:0.467634:0.369885:0.451200:0.103217:0.451200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.073089:0.491423:0.081593:0.491423:0.081593:0.474989:0.073089:0.474989:0.000000:0.000000
Si en la matriz escalonada reducida se genera una matriz identidad de orden menor :@0.103290:0.491423:0.710792:0.491423:0.710792:0.474989:0.103290:0.474989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al número de variables, entonces el sistema tiene infinitas soluciones.:@0.103217:0.508065:0.602950:0.508065:0.602950:0.491631:0.103217:0.491631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.073103:0.535427:0.151667:0.535427:0.151667:0.518480:0.073103:0.518480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.151757:0.535427:0.155567:0.535427:0.155567:0.518480:0.151757:0.518480:0.000000
resolver los siguientes sistemas de ecuaciones lineales por el método de :@0.156782:0.535427:0.710362:0.535427:0.710362:0.518993:0.156782:0.518993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gaussiana. En caso de que el sistema sea inconsistente, justificar y, finalmente, en caso de :@0.073103:0.552069:0.710768:0.552069:0.710768:0.535635:0.073103:0.535635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tenga infinitas soluciones dar dos de ellas.:@0.073103:0.568711:0.408486:0.568711:0.408486:0.552277:0.073103:0.552277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.073103:0.596073:0.148885:0.596073:0.148885:0.579403:0.073103:0.579403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 + 2 -  = 6:@0.082582:0.619857:0.180141:0.619857:0.180141:0.603423:0.082582:0.603423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.091491:0.619857:0.102186:0.619857:0.102186:0.603451:0.091491:0.603451:0.000000:0.000000
y  z :@0.125876:0.619857:0.156359:0.619857:0.156359:0.603451:0.125876:0.603451:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 7  +   =19:@0.082601:0.636498:0.192676:0.636498:0.192676:0.620065:0.082601:0.620065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.091510:0.636498:0.098965:0.636498:0.098965:0.620092:0.091510:0.620092:0.000000
y:@0.126576:0.636498:0.134049:0.636498:0.134049:0.620092:0.126576:0.620092:0.000000
z:@0.152769:0.636498:0.160003:0.636498:0.160003:0.620092:0.152769:0.620092:0.000000
x :@0.082582:0.653140:0.093277:0.653140:0.093277:0.636734:0.082582:0.636734:0.000000:0.000000
+ 3 - 5 = -8:@0.093222:0.653140:0.185552:0.653140:0.185552:0.636706:0.093222:0.636706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  z :@0.116967:0.653140:0.156359:0.653140:0.156359:0.636734:0.116967:0.636734:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.088798:0.688802:0.098189:0.688802:0.098189:0.671621:0.088798:0.671621:0.000000
2 -1 | 6:@0.117529:0.688802:0.196314:0.688802:0.196314:0.671621:0.117529:0.671621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.088779:0.710245:0.098170:0.710245:0.098170:0.693064:0.088779:0.693064:0.000000
7:@0.117510:0.710245:0.126901:0.710245:0.126901:0.693064:0.117510:0.693064:0.000000
1 | 19:@0.146241:0.710245:0.200990:0.710245:0.200990:0.693064:0.146241:0.693064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.088760:0.731688:0.098151:0.731688:0.098151:0.714508:0.088760:0.714508:0.000000
3 -5 | -8:@0.117491:0.731688:0.199143:0.731688:0.199143:0.714508:0.117491:0.714508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.206262:0.736813:0.229825:0.736810:0.229825:0.720376:0.206262:0.720380:0.000000:0.000000:0.000000:0.000000:0.000000
∼:@0.212707:0.712443:0.222812:0.712443:0.222812:0.695455:0.212707:0.695455:0.000000
1:@0.238040:0.688802:0.247431:0.688802:0.247431:0.671621:0.238040:0.671621:0.000000
3 -5 | -8:@0.266771:0.688802:0.348423:0.688802:0.348423:0.671621:0.266771:0.671621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.238021:0.710245:0.247412:0.710245:0.247412:0.693064:0.238021:0.693064:0.000000
7:@0.266752:0.710245:0.276143:0.710245:0.276143:0.693064:0.266752:0.693064:0.000000
1 | 19:@0.295483:0.710245:0.350232:0.710245:0.350232:0.693064:0.295483:0.693064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.238002:0.731688:0.247393:0.731688:0.247393:0.714508:0.238002:0.714508:0.000000
2 -1 | 6:@0.266733:0.731688:0.345518:0.731688:0.345518:0.714508:0.266733:0.714508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.355503:0.736813:0.359535:0.736813:0.359535:0.720380:0.355503:0.720380:0.000000
f:@0.358726:0.713710:0.363420:0.713710:0.363420:0.697304:0.358726:0.697304:0.000000
1:@0.363355:0.716883:0.368592:0.716883:0.368592:0.707302:0.363355:0.707302:0.000000
 :@0.368544:0.713710:0.372575:0.713710:0.372575:0.697276:0.368544:0.697276:0.000000
↔:@0.372502:0.713294:0.391682:0.713294:0.391682:0.696306:0.372502:0.696306:0.000000
 :@0.391590:0.713710:0.395621:0.713710:0.395621:0.697276:0.391590:0.697276:0.000000
f:@0.395548:0.713710:0.400241:0.713710:0.400241:0.697304:0.395548:0.697304:0.000000
3:@0.400161:0.716883:0.405398:0.716883:0.405398:0.707302:0.400161:0.707302:0.000000
   :@0.423475:0.736813:0.433028:0.736813:0.433028:0.720380:0.423475:0.720380:0.000000:0.000000:0.000000
1:@0.460048:0.688802:0.469439:0.688802:0.469439:0.671621:0.460048:0.671621:0.000000
3:@0.492320:0.688802:0.501711:0.688802:0.501711:0.671621:0.492320:0.671621:0.000000
-5 | -8:@0.521725:0.688802:0.577513:0.688802:0.577513:0.671621:0.521725:0.671621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.460068:0.710245:0.469459:0.710245:0.469459:0.693064:0.460068:0.693064:0.000000
1 11 | 35:@0.492340:0.710245:0.579361:0.710245:0.579361:0.693064:0.492340:0.693064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 -13 24 | 46:@0.460087:0.731688:0.579361:0.731688:0.579361:0.714508:0.460087:0.714508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-2  + :@0.592465:0.699862:0.635474:0.699862:0.635474:0.683428:0.592465:0.683428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.606771:0.699862:0.611465:0.699862:0.611465:0.683456:0.606771:0.683456:0.000000
1:@0.611399:0.703035:0.616636:0.703035:0.616636:0.693454:0.611399:0.693454:0.000000
f:@0.635382:0.699862:0.640076:0.699862:0.640076:0.683456:0.635382:0.683456:0.000000
2:@0.640006:0.703035:0.645243:0.703035:0.645243:0.693454:0.640006:0.693454:0.000000
-5  + :@0.592465:0.720078:0.635474:0.720078:0.635474:0.703644:0.592465:0.703644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.606768:0.720078:0.611461:0.720078:0.611461:0.703672:0.606768:0.703672:0.000000
1:@0.611399:0.723251:0.616636:0.723251:0.616636:0.713670:0.611399:0.713670:0.000000
f:@0.635382:0.720078:0.640076:0.720078:0.640076:0.703672:0.635382:0.703672:0.000000
3:@0.640006:0.723251:0.645243:0.723251:0.645243:0.713670:0.640006:0.713670:0.000000
∼:@0.431751:0.709382:0.441857:0.709382:0.441857:0.692394:0.431751:0.692394:0.000000
1:@0.700840:0.688802:0.710231:0.688802:0.710231:0.671621:0.700840:0.671621:0.000000
0 -38 | -113:@0.733112:0.688802:0.842456:0.688802:0.842456:0.671621:0.733112:0.671621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.700840:0.710245:0.710231:0.710245:0.710231:0.693064:0.700840:0.693064:0.000000
1:@0.733112:0.710245:0.742503:0.710245:0.742503:0.693064:0.733112:0.693064:0.000000
11 | 35:@0.764095:0.710245:0.834894:0.710245:0.834894:0.693064:0.764095:0.693064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.700840:0.731688:0.710231:0.731688:0.710231:0.714508:0.700840:0.714508:0.000000
0 167 | 501:@0.733112:0.731688:0.839589:0.731688:0.839589:0.714508:0.733112:0.714508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-3  + :@0.858160:0.699862:0.901170:0.699862:0.901170:0.683428:0.858160:0.683428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.872466:0.699862:0.877160:0.699862:0.877160:0.683456:0.872466:0.683456:0.000000
2:@0.877093:0.703035:0.882330:0.703035:0.882330:0.693454:0.877093:0.693454:0.000000
f:@0.901078:0.699862:0.905772:0.699862:0.905772:0.683456:0.901078:0.683456:0.000000
1:@0.905701:0.703035:0.910938:0.703035:0.910938:0.693454:0.905701:0.693454:0.000000
13  + :@0.858160:0.720078:0.904667:0.720078:0.904667:0.703644:0.858160:0.703644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.875960:0.720078:0.880654:0.720078:0.880654:0.703672:0.875960:0.703672:0.000000
2:@0.880590:0.723251:0.885827:0.723251:0.885827:0.713670:0.880590:0.713670:0.000000
f:@0.904575:0.720078:0.909269:0.720078:0.909269:0.703672:0.904575:0.703672:0.000000
3:@0.909199:0.723251:0.914436:0.723251:0.914436:0.713670:0.909199:0.713670:0.000000
∼:@0.672543:0.709382:0.682649:0.709382:0.682649:0.692394:0.672543:0.692394:0.000000
1:@0.276054:0.766707:0.285445:0.766707:0.285445:0.749526:0.276054:0.749526:0.000000
0 -5 | -8:@0.305940:0.766707:0.388747:0.766707:0.388747:0.749526:0.305940:0.749526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.276035:0.788150:0.285426:0.788150:0.285426:0.770970:0.276035:0.770970:0.000000
1 11 | 35:@0.305921:0.788150:0.390556:0.788150:0.390556:0.770970:0.305921:0.770970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.276016:0.809594:0.285407:0.809594:0.285407:0.792413:0.276016:0.792413:0.000000
0 24 | 46:@0.305902:0.809594:0.390537:0.809594:0.390537:0.792413:0.305902:0.792413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.420084:0.776507:0.428251:0.776507:0.428251:0.761567:0.420084:0.761567:0.000000
167:@0.411985:0.792896:0.436350:0.792896:0.436350:0.777957:0.411985:0.777957:0.000000:0.000000:0.000000
 :@0.439785:0.786129:0.443816:0.786129:0.443816:0.769695:0.439785:0.769695:0.000000
f:@0.443743:0.786129:0.448437:0.786129:0.448437:0.769723:0.443743:0.769723:0.000000
3:@0.448363:0.789301:0.453600:0.789301:0.453600:0.779720:0.448363:0.779720:0.000000
∼:@0.247756:0.787287:0.257861:0.787287:0.257861:0.770299:0.247756:0.770299:0.000000
          :@0.463599:0.814719:0.503248:0.814719:0.503248:0.798285:0.463599:0.798285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.531407:0.766707:0.540798:0.766707:0.540798:0.749526:0.531407:0.749526:0.000000
0:@0.563679:0.766707:0.573070:0.766707:0.573070:0.749526:0.563679:0.749526:0.000000
0 | 1:@0.595951:0.766707:0.646004:0.766707:0.646004:0.749526:0.595951:0.749526:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.531426:0.788150:0.540817:0.788150:0.540817:0.770970:0.531426:0.770970:0.000000
1:@0.563698:0.788150:0.573089:0.788150:0.573089:0.770970:0.563698:0.770970:0.000000
0 | 2:@0.595970:0.788150:0.646023:0.788150:0.646023:0.770970:0.595970:0.770970:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.531445:0.809594:0.540836:0.809594:0.540836:0.792413:0.531445:0.792413:0.000000
0:@0.563717:0.809594:0.573108:0.809594:0.573108:0.792413:0.563717:0.792413:0.000000
1 | 3:@0.595989:0.809594:0.646043:0.809594:0.646043:0.792413:0.595989:0.792413:0.000000:0.000000:0.000000:0.000000:0.000000
-11  + :@0.675683:0.777767:0.727593:0.777767:0.727593:0.761334:0.675683:0.761334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.698891:0.777767:0.703585:0.777767:0.703585:0.761361:0.698891:0.761361:0.000000
3:@0.703518:0.780940:0.708755:0.780940:0.708755:0.771359:0.703518:0.771359:0.000000
f:@0.727501:0.777767:0.732195:0.777767:0.732195:0.761361:0.727501:0.761361:0.000000
2:@0.732126:0.780940:0.737363:0.780940:0.737363:0.771359:0.732126:0.771359:0.000000
38  + :@0.675683:0.797982:0.722189:0.797982:0.722189:0.781548:0.675683:0.781548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.693482:0.797982:0.698176:0.797982:0.698176:0.781576:0.693482:0.781576:0.000000
3:@0.698113:0.801155:0.703350:0.801155:0.703350:0.791574:0.698113:0.791574:0.000000
f:@0.722097:0.797982:0.726791:0.797982:0.726791:0.781576:0.722097:0.781576:0.000000
1:@0.726721:0.801155:0.731958:0.801155:0.731958:0.791574:0.726721:0.791574:0.000000
∼:@0.503110:0.787287:0.513215:0.787287:0.513215:0.770299:0.503110:0.770299:0.000000
Se generó :@0.073098:0.849223:0.150973:0.849223:0.150973:0.832789:0.073098:0.832789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una matriz identidad de orden 3 igual al número de variables del sistema:@0.151034:0.849223:0.703397:0.849223:0.703397:0.832553:0.151034:0.832553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.703160:0.849223:0.710394:0.849223:0.710394:0.832789:0.703160:0.832789:0.000000:0.000000
por tanto, tiene solución única:          x =            y =            z = :@0.073116:0.865865:0.514577:0.865865:0.514577:0.849431:0.073116:0.849431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.362865:0.865865:0.372731:0.865865:0.372731:0.848918:0.362865:0.848918:0.000000
2:@0.438979:0.865865:0.448845:0.865865:0.448845:0.848918:0.438979:0.848918:0.000000
3:@0.514412:0.865865:0.524278:0.865865:0.524278:0.848918:0.514412:0.848918:0.000000
Al sustituir en cada una de las ecuaciones del sistema, las satisface, es decir, cada :@0.073135:0.889649:0.710513:0.889649:0.710513:0.873215:0.073135:0.873215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión es igual al término independiente.:@0.073135:0.906290:0.395979:0.906290:0.395979:0.889857:0.073135:0.889857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se genera la matriz ampliada de coeficientes y términos :@0.215441:0.623754:0.623438:0.623754:0.623438:0.607320:0.215441:0.607320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
independientes.   :@0.215441:0.640395:0.345124:0.640395:0.345124:0.623962:0.215441:0.623962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000