77:@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
7.2 Regla de Cramer para solución de sistemas de ecuaciones 3x3:@0.073200:0.136836:0.583234:0.136836:0.583234:0.119889:0.073200:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto formado por  :@0.073200:0.181409:0.266421:0.181409:0.266421:0.164975:0.073200:0.164975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  es un sistema de ecuaciones lineales com-:@0.377644:0.181402:0.706341:0.181402:0.706341:0.164968:0.377644:0.164968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
patibles determinados que tiene solución, por lo tanto, es aplicable la regla de Cramer.:@0.073205:0.211663:0.704088:0.211663:0.704088:0.195229:0.073205:0.195229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vamos a encontrar la solución del sistema: :@0.073205:0.240564:0.386159:0.240564:0.386159:0.224130:0.073205:0.224130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para ello, procederemos de la siguiente manera::@0.073200:0.270653:0.422822:0.270653:0.422822:0.254219:0.073200:0.254219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.073200:0.301593:0.079421:0.301593:0.079421:0.284410:0.073200:0.284410:0.000000
Hallamos el determinante del sistema.:@0.093374:0.301593:0.372077:0.301593:0.372077:0.285159:0.093374:0.285159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinante:@0.100153:0.398615:0.211110:0.398615:0.211110:0.381668:0.100153:0.381668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Un determinante de segundo orden es igual al producto de :@0.211110:0.398615:0.671455:0.398615:0.671455:0.382181:0.211110:0.382181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los términos de la diagonal principal menos el producto de los términos de la :@0.096801:0.415257:0.676462:0.415257:0.676462:0.398823:0.096801:0.398823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diagonal secundaria.:@0.096801:0.431898:0.247960:0.431898:0.247960:0.415465:0.096801:0.415465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.073200:0.600144:0.079421:0.600144:0.079421:0.582961:0.073200:0.582961:0.000000
Hallamos el determinante de   ( ).:@0.096917:0.600144:0.353624:0.600144:0.353624:0.583710:0.096917:0.583710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.311155:0.600144:0.318610:0.600144:0.318610:0.583738:0.311155:0.583738:0.000000
x:@0.338089:0.600144:0.345543:0.600144:0.345543:0.583738:0.338089:0.583738:0.000000
Este determinante equivale a poner:@0.096917:0.620363:0.362276:0.620363:0.362276:0.603930:0.096917:0.603930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la columna de los coeficientes de:@0.096917:0.637005:0.362312:0.637005:0.362312:0.620571:0.096917:0.620571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.096917:0.653647:0.104372:0.653647:0.104372:0.637241:0.096917:0.637241:0.000000
 los términos independientes de las:@0.104372:0.653647:0.362274:0.653647:0.362274:0.637213:0.104372:0.637213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones.:@0.096917:0.670289:0.182693:0.670289:0.182693:0.653855:0.096917:0.653855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.254653:0.708584:0.227648:0.708584:0.227648:0.689430:0.254653:0.689430:0.000000
):@0.287533:0.708584:0.260527:0.708584:0.260527:0.689430:0.287533:0.689430:0.000000
Δ =:@0.076056:0.706226:0.027712:0.706226:0.027712:0.691262:0.076056:0.691262:0.000000:0.000000:0.000000
=:@0.211310:0.706226:0.135955:0.706226:0.135955:0.691262:0.211310:0.691262:0.000000
=:@0.296348:0.706226:0.220994:0.706226:0.220994:0.691262:0.296348:0.691262:0.000000
x:@0.088466:0.705575:0.095610:0.705575:0.100200:0.689853:0.093056:0.689853:0.000000
–2:@0.132431:0.698780:0.149859:0.698780:0.149859:0.683032:0.132431:0.683032:0.000000:0.000000
1:@0.179787:0.698780:0.188395:0.698780:0.188395:0.683032:0.179787:0.683032:0.000000
–39 –12:@0.128022:0.716029:0.196403:0.716029:0.196403:0.700281:0.128022:0.700281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24 – –39:@0.223838:0.705571:0.287007:0.705571:0.287007:0.689822:0.223838:0.689822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
63:@0.309218:0.705571:0.326240:0.705571:0.326240:0.689822:0.309218:0.689822:0.000000:0.000000
•:@0.073200:0.763885:0.079421:0.763885:0.079421:0.746703:0.073200:0.746703:0.000000
Hallamos el valor de   dividiendo el:@0.096917:0.763885:0.362276:0.763885:0.362276:0.747452:0.096917:0.747452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.252863:0.763885:0.260318:0.763885:0.260318:0.747479:0.252863:0.747479:0.000000
valor de   para el valor del determi-:@0.096917:0.780527:0.362284:0.780527:0.362284:0.764093:0.096917:0.764093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.169486:0.780527:0.176941:0.780527:0.176941:0.764121:0.169486:0.764121:0.000000
nante D.:@0.096925:0.797169:0.158109:0.797169:0.158109:0.780735:0.096925:0.780735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es decir,:@0.096917:0.831111:0.155193:0.831111:0.155193:0.814677:0.096917:0.814677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.173129:0.831790:0.183235:0.831790:0.183235:0.816175:0.173129:0.816175:0.000000
Δ:@0.188039:0.823206:0.199305:0.823206:0.199305:0.807590:0.188039:0.807590:0.000000
=:@0.242629:0.831790:0.206863:0.831790:0.206863:0.816175:0.242629:0.816175:0.000000
=:@0.288499:0.831790:0.252734:0.831790:0.252734:0.816175:0.288499:0.816175:0.000000
;:@0.213450:0.831111:0.216653:0.831111:0.216653:0.814677:0.213450:0.814677:0.000000
...:@0.217849:0.831111:0.227126:0.831111:0.227126:0.814677:0.217849:0.814677:0.000000:0.000000:0.000000
63:@0.262137:0.822526:0.279900:0.822526:0.279900:0.806093:0.262137:0.806093:0.000000:0.000000
–63:@0.257532:0.842102:0.284498:0.842102:0.284498:0.825668:0.257532:0.825668:0.000000:0.000000:0.000000
–1:@0.301927:0.831111:0.320113:0.831111:0.320113:0.814677:0.301927:0.814677:0.000000:0.000000
x:@0.157893:0.831111:0.165348:0.831111:0.170139:0.814705:0.162684:0.814705:0.000000
x:@0.198098:0.822526:0.205553:0.822526:0.210344:0.806120:0.202889:0.806120:0.000000
D:@0.190837:0.842102:0.202360:0.842102:0.207151:0.825696:0.195628:0.825696:0.000000
x:@0.227391:0.831111:0.234846:0.831111:0.239636:0.814705:0.232181:0.814705:0.000000
•:@0.382358:0.600144:0.388580:0.600144:0.388580:0.582961:0.382358:0.582961:0.000000
Hallamos el determinante de   ( ).:@0.406075:0.600144:0.661345:0.600144:0.661345:0.583710:0.406075:0.583710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.618844:0.600144:0.626318:0.600144:0.626318:0.583738:0.618844:0.583738:0.000000
y:@0.645791:0.600144:0.653264:0.600144:0.653264:0.583738:0.645791:0.583738:0.000000
Este determinante equivale a poner:@0.406073:0.620363:0.671432:0.620363:0.671432:0.603930:0.406073:0.603930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la columna de los coeficientes de:@0.406073:0.637005:0.671467:0.637005:0.671467:0.620571:0.406073:0.620571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.406073:0.653647:0.413547:0.653647:0.413547:0.637241:0.406073:0.637241:0.000000
 los términos independientes de las:@0.413547:0.653647:0.671449:0.653647:0.671449:0.637213:0.413547:0.637213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones::@0.406073:0.670289:0.492054:0.670289:0.492054:0.653855:0.406073:0.653855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.567266:0.706079:0.547883:0.706079:0.547883:0.686091:0.567266:0.686091:0.000000
):@0.592778:0.706079:0.573395:0.706079:0.573395:0.686091:0.592778:0.686091:0.000000
Δ =:@0.385338:0.703618:0.326564:0.703618:0.326564:0.688002:0.385338:0.688002:0.000000:0.000000:0.000000
=:@0.504838:0.703618:0.420754:0.703618:0.420754:0.688002:0.504838:0.688002:0.000000
=:@0.602003:0.703618:0.517918:0.703618:0.517918:0.688002:0.602003:0.688002:0.000000
y:@0.395412:0.702938:0.402885:0.702938:0.407676:0.686532:0.400203:0.686532:0.000000
5:@0.436323:0.695847:0.445306:0.695847:0.445306:0.679413:0.436323:0.679413:0.000000
–2:@0.466496:0.695847:0.484683:0.695847:0.484683:0.679413:0.466496:0.679413:0.000000:0.000000
3 –39:@0.436323:0.713848:0.488913:0.713848:0.488913:0.697414:0.436323:0.697414:0.000000:0.000000:0.000000:0.000000:0.000000
–195– –6:@0.518272:0.702933:0.592245:0.702933:0.592245:0.686500:0.518272:0.686500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–189:@0.615424:0.702933:0.651171:0.702933:0.651171:0.686500:0.615424:0.686500:0.000000:0.000000:0.000000:0.000000
•:@0.382358:0.761651:0.388580:0.761651:0.388580:0.744469:0.382358:0.744469:0.000000
Hallamos el valor de   dividiendo el:@0.406075:0.761651:0.671415:0.761651:0.671415:0.745218:0.406075:0.745218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.561948:0.761651:0.569421:0.761651:0.569421:0.745245:0.561948:0.745245:0.000000
valor de   para el valor del determi-:@0.406075:0.778293:0.671435:0.778293:0.671435:0.761859:0.406075:0.761859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.478640:0.778293:0.486113:0.778293:0.486113:0.761887:0.478640:0.761887:0.000000
nante D.:@0.406078:0.794935:0.467262:0.794935:0.467262:0.778501:0.406078:0.778501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es decir,:@0.406075:0.828876:0.464350:0.828876:0.464350:0.812442:0.406075:0.812442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.487468:0.829555:0.497574:0.829555:0.497574:0.813940:0.487468:0.813940:0.000000
Δ:@0.502378:0.820971:0.513644:0.820971:0.513644:0.805355:0.502378:0.805355:0.000000
=:@0.556968:0.829555:0.511630:0.829555:0.511630:0.813940:0.556968:0.813940:0.000000
=:@0.612401:0.829555:0.567064:0.829555:0.567064:0.813940:0.612401:0.813940:0.000000
;:@0.527789:0.828876:0.530992:0.828876:0.530992:0.812442:0.527789:0.812442:0.000000
...:@0.532188:0.828876:0.541465:0.828876:0.541465:0.812442:0.532188:0.812442:0.000000:0.000000:0.000000
–189:@0.571874:0.820291:0.607621:0.820291:0.607621:0.803857:0.571874:0.803857:0.000000:0.000000:0.000000:0.000000
–63:@0.576682:0.839868:0.603648:0.839868:0.603648:0.823434:0.576682:0.823434:0.000000:0.000000:0.000000
3:@0.625471:0.828876:0.634454:0.828876:0.634454:0.812442:0.625471:0.812442:0.000000
y:@0.472232:0.828876:0.479706:0.828876:0.484496:0.812469:0.477023:0.812469:0.000000
y:@0.512437:0.820291:0.519910:0.820291:0.524701:0.803885:0.517228:0.803885:0.000000
D:@0.505176:0.839868:0.516699:0.839868:0.521490:0.823462:0.509967:0.823462:0.000000
x:@0.541730:0.828876:0.549185:0.828876:0.553975:0.812469:0.546520:0.812469:0.000000
Solución:@0.073089:0.887981:0.139742:0.887981:0.139742:0.871311:0.073089:0.871311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución del sistema es    –1, = 3, estas satisfacen las ecuaciones del sistema.:@0.073089:0.915342:0.640861:0.915342:0.640861:0.898909:0.073089:0.898909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.256110:0.915342:0.263565:0.915342:0.263565:0.898936:0.256110:0.898936:0.000000
= :@0.266862:0.915342:0.281275:0.915342:0.281275:0.898396:0.266862:0.898396:0.000000:0.000000
   :@0.301192:0.915342:0.315549:0.915342:0.315549:0.898396:0.301192:0.898396:0.000000:0.000000:0.000000
y:@0.304634:0.915342:0.312107:0.915342:0.312107:0.898936:0.304634:0.898936:0.000000
Para aplicar la regla de :@0.741478:0.182034:0.891635:0.182034:0.891635:0.167094:0.741478:0.167094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cramer a un sistema de :@0.741478:0.197163:0.900360:0.197163:0.900360:0.182223:0.741478:0.182223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones, este debe ser :@0.741478:0.212292:0.913908:0.212292:0.913908:0.197352:0.741478:0.197352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compatible determinado, :@0.741478:0.227421:0.913633:0.227421:0.913633:0.212481:0.741478:0.212481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es decir, debe cumplir dos :@0.741478:0.242550:0.917845:0.242550:0.917845:0.227610:0.741478:0.227610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condiciones::@0.741478:0.257679:0.824780:0.257679:0.824780:0.242739:0.741478:0.242739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.741478:0.279956:0.753460:0.279956:0.753460:0.264802:0.741478:0.264802:0.000000:0.000000
El número de:@0.756974:0.279956:0.845399:0.279956:0.845399:0.265016:0.756974:0.265016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones es igual al:@0.741478:0.295085:0.884453:0.295085:0.884453:0.280145:0.741478:0.280145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de incógnitas.:@0.741478:0.310214:0.890008:0.310214:0.890008:0.295274:0.741478:0.295274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.741478:0.332491:0.753460:0.332491:0.753460:0.317337:0.741478:0.317337:0.000000:0.000000
El determinante de la:@0.756857:0.332491:0.897530:0.332491:0.897530:0.317551:0.756857:0.317551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matriz de los coeficientes:@0.741478:0.347620:0.908302:0.347620:0.908302:0.332680:0.741478:0.332680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es distinto de cero.:@0.741478:0.362749:0.865055:0.362749:0.865055:0.347809:0.741478:0.347809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinante:@0.741478:0.385026:0.841607:0.385026:0.841607:0.369620:0.741478:0.369620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un determinante es una :@0.741478:0.400155:0.905352:0.400155:0.905352:0.385216:0.741478:0.385216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
magnitud escalar, es decir, :@0.741478:0.415284:0.917566:0.415284:0.917566:0.400345:0.741478:0.400345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un número asignado a una :@0.741478:0.430413:0.923356:0.430413:0.923356:0.415473:0.741478:0.415473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matriz, y tiene la siguiente :@0.741478:0.445542:0.916535:0.445542:0.916535:0.430602:0.741478:0.430602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma::@0.741478:0.460671:0.783434:0.460671:0.783434:0.445731:0.741478:0.445731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.143115:0.848854:0.143115:0.848854:0.126168:0.740294:0.126168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.159757:0.837769:0.159757:0.837769:0.142810:0.740294:0.142810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observamos que los números dentro de las barras son los :@0.213416:0.330714:0.659308:0.330714:0.659308:0.314280:0.213416:0.314280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coeficientes correspondientes a   y a .:@0.213416:0.347355:0.496387:0.347355:0.496387:0.330922:0.213416:0.330922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.450351:0.347355:0.457806:0.347355:0.457806:0.330949:0.450351:0.330949:0.000000
 :@0.482324:0.347355:0.485711:0.347355:0.485711:0.330200:0.482324:0.330200:0.000000
y:@0.485711:0.347355:0.493184:0.347355:0.493184:0.330949:0.485711:0.330949:0.000000
D:@0.084975:0.519668:0.096884:0.519668:0.101683:0.503234:0.089774:0.503234:0.000000
5:@0.128711:0.512144:0.137694:0.512144:0.137694:0.495710:0.128711:0.495710:0.000000
1:@0.164329:0.512144:0.173312:0.512144:0.173312:0.495710:0.164329:0.495710:0.000000
3:@0.128711:0.530145:0.137694:0.530145:0.137694:0.513711:0.128711:0.513711:0.000000
12:@0.164274:0.530145:0.182039:0.530148:0.182039:0.513715:0.164274:0.513711:0.000000:0.000000
=:@0.102832:0.520344:0.112938:0.520344:0.112938:0.504728:0.102832:0.504728:0.000000
−:@0.154336:0.530828:0.164441:0.530828:0.164441:0.515212:0.154336:0.515212:0.000000
= – 60  :@0.198789:0.519664:0.242212:0.519664:0.242212:0.503230:0.198789:0.503230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.241176:0.518407:0.253086:0.518407:0.257884:0.501973:0.245975:0.501973:0.000000
5:@0.284912:0.510883:0.293894:0.510883:0.293894:0.494449:0.284912:0.494449:0.000000
1:@0.320530:0.510883:0.329512:0.510883:0.329512:0.494449:0.320530:0.494449:0.000000
3:@0.284912:0.528884:0.293894:0.528884:0.293894:0.512450:0.284912:0.512450:0.000000
12:@0.320474:0.528884:0.338239:0.528888:0.338239:0.512454:0.320474:0.512450:0.000000:0.000000
=:@0.259033:0.519083:0.269138:0.519083:0.269138:0.503467:0.259033:0.503467:0.000000
−:@0.310536:0.529567:0.320642:0.529567:0.320642:0.513952:0.310536:0.513952:0.000000
 =   –3.   Entonces: :@0.354995:0.519665:0.470611:0.519665:0.470611:0.503231:0.354995:0.503231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.368947:0.519859:0.377525:0.519859:0.377525:0.504050:0.368947:0.504050:0.000000
D:@0.469941:0.519668:0.481851:0.519668:0.486650:0.503234:0.474740:0.503234:0.000000
5:@0.513677:0.512144:0.522660:0.512144:0.522660:0.495710:0.513677:0.495710:0.000000
1:@0.549295:0.512144:0.558278:0.512144:0.558278:0.495710:0.549295:0.495710:0.000000
3:@0.513677:0.530145:0.522660:0.530145:0.522660:0.513711:0.513677:0.513711:0.000000
12:@0.549240:0.530145:0.567004:0.530148:0.567004:0.513715:0.549240:0.513711:0.000000:0.000000
=:@0.487798:0.520344:0.497904:0.520344:0.497904:0.504728:0.487798:0.504728:0.000000
−:@0.539302:0.530828:0.549407:0.530828:0.549407:0.515212:0.539302:0.515212:0.000000
 = – 60 – 3 = – 63  :@0.584505:0.519668:0.695905:0.519668:0.695905:0.503234:0.584505:0.503234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diagonal principal (+):@0.127877:0.554583:0.284506:0.554583:0.284506:0.539177:0.127877:0.539177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diagonal secundaria (–):@0.268040:0.480867:0.438256:0.480867:0.438256:0.465461:0.268040:0.465461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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