82:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Sistemas de ecuaciones:@0.073089:0.043661:0.282490:0.043661:0.282490:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.6 Matriz escalonada:@0.293660:0.136836:0.464255:0.136836:0.464255:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una matriz de orden |:@0.293660:0.164198:0.452132:0.164198:0.452132:0.147764:0.293660:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m x n|:@0.451944:0.164198:0.494134:0.164198:0.494134:0.147792:0.451944:0.147792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es escalonada si el número de ceros que precede al primer :@0.494097:0.164198:0.931243:0.164198:0.931243:0.147764:0.494097:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento no nulo de cada fila aumenta hasta tener posiblemente filas de ceros.:@0.293660:0.180840:0.869827:0.180840:0.869827:0.164406:0.293660:0.164406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.321745:0.210789:0.393079:0.210789:0.393079:0.195383:0.321745:0.195383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.448395:0.210789:0.519730:0.210789:0.519730:0.195383:0.448395:0.195383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.575045:0.210789:0.646380:0.210789:0.646380:0.195383:0.575045:0.195383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.701695:0.210789:0.773030:0.210789:0.773030:0.195383:0.701695:0.195383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 5:@0.828346:0.210789:0.899680:0.210789:0.899680:0.195383:0.828346:0.195383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.323831:0.248227:0.333222:0.248227:0.333222:0.231046:0.323831:0.231046:0.000000
0:@0.352562:0.248227:0.361954:0.248227:0.361954:0.231046:0.352562:0.231046:0.000000
0:@0.381294:0.248227:0.390685:0.248227:0.390685:0.231046:0.381294:0.231046:0.000000
0:@0.323812:0.269670:0.333203:0.269670:0.333203:0.252489:0.323812:0.252489:0.000000
1:@0.352543:0.269670:0.361934:0.269670:0.361934:0.252489:0.352543:0.252489:0.000000
0:@0.381274:0.269670:0.390666:0.269670:0.390666:0.252489:0.381274:0.252489:0.000000
0:@0.323793:0.291114:0.333184:0.291114:0.333184:0.273933:0.323793:0.273933:0.000000
0:@0.352524:0.291114:0.361915:0.291114:0.361915:0.273933:0.352524:0.273933:0.000000
1:@0.381255:0.291114:0.390646:0.291114:0.390646:0.273933:0.381255:0.273933:0.000000
1:@0.450482:0.248227:0.459873:0.248227:0.459873:0.231046:0.450482:0.231046:0.000000
2:@0.479219:0.248227:0.488610:0.248227:0.488610:0.231046:0.479219:0.231046:0.000000
0:@0.507950:0.248227:0.517341:0.248227:0.517341:0.231046:0.507950:0.231046:0.000000
0:@0.450468:0.269670:0.459859:0.269670:0.459859:0.252489:0.450468:0.252489:0.000000
1:@0.479199:0.269670:0.488590:0.269670:0.488590:0.252489:0.479199:0.252489:0.000000
3:@0.507931:0.269670:0.517322:0.269670:0.517322:0.252489:0.507931:0.252489:0.000000
0:@0.450449:0.291114:0.459840:0.291114:0.459840:0.273933:0.450449:0.273933:0.000000
0:@0.479180:0.291114:0.488571:0.291114:0.488571:0.273933:0.479180:0.273933:0.000000
0:@0.507911:0.291114:0.517302:0.291114:0.517302:0.273933:0.507911:0.273933:0.000000
1:@0.562901:0.248227:0.572292:0.248227:0.572292:0.231046:0.562901:0.231046:0.000000
2 -4 0:@0.591638:0.248227:0.653469:0.248227:0.653469:0.231046:0.591638:0.231046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.562888:0.269670:0.572279:0.269670:0.572279:0.252489:0.562888:0.252489:0.000000
1:@0.591619:0.269670:0.601010:0.269670:0.601010:0.252489:0.591619:0.252489:0.000000
3 0:@0.620350:0.269670:0.653450:0.269670:0.653450:0.252489:0.620350:0.252489:0.000000:0.000000:0.000000
0:@0.562869:0.291114:0.572260:0.291114:0.572260:0.273933:0.562869:0.273933:0.000000
0:@0.591600:0.291114:0.600991:0.291114:0.600991:0.273933:0.591600:0.273933:0.000000
0 1:@0.620331:0.291114:0.653431:0.291114:0.653431:0.273933:0.620331:0.273933:0.000000:0.000000:0.000000
1 2 0 3:@0.696667:0.248227:0.777192:0.248227:0.777192:0.231046:0.696667:0.231046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 1 4 -2:@0.696656:0.269670:0.780040:0.269670:0.780040:0.252489:0.696656:0.252489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 0 0 0:@0.696637:0.291114:0.777153:0.291114:0.777153:0.273933:0.696637:0.273933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 -1 0 0 2:@0.814605:0.237505:0.913675:0.237505:0.913675:0.220325:0.814605:0.220325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 1 0 0 3:@0.814588:0.258949:0.913656:0.258949:0.913656:0.241768:0.814588:0.241768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 0 1 0 -1:@0.814569:0.280392:0.916504:0.280392:0.916504:0.263211:0.814569:0.263211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 0 0 1 4:@0.814549:0.301836:0.913617:0.301836:0.913617:0.284655:0.814549:0.284655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.7 Matriz ampliada:@0.293660:0.341787:0.449143:0.341787:0.449143:0.324840:0.293660:0.324840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una matriz es ampliada si está formada por dos o más matrices con el mismo número  :@0.293660:0.365576:0.930938:0.365576:0.930938:0.349142:0.293660:0.349142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de filas.:@0.293660:0.382218:0.346831:0.382218:0.346831:0.365784:0.293660:0.365784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.398759:0.412165:0.470094:0.412165:0.470094:0.396759:0.398759:0.396759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.703690:0.412165:0.775025:0.412165:0.775025:0.396759:0.703690:0.396759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Supongamos que tenemos el :@0.312049:0.433811:0.511259:0.433811:0.511259:0.418871:0.312049:0.418871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente sistema de ecuaciones::@0.312049:0.448940:0.528304:0.448940:0.528304:0.434000:0.312049:0.434000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 + 3  = 5:@0.397654:0.467861:0.476143:0.467861:0.476143:0.451427:0.397654:0.451427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.406564:0.467861:0.417258:0.467861:0.417258:0.451455:0.406564:0.451455:0.000000:0.000000
y:@0.440948:0.467861:0.448422:0.467861:0.448422:0.451455:0.440948:0.451455:0.000000
4:@0.397654:0.484503:0.406637:0.484503:0.406637:0.468069:0.397654:0.468069:0.000000
x - y :@0.406564:0.484503:0.436549:0.484503:0.436549:0.468097:0.406564:0.468097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1:@0.436512:0.484503:0.460350:0.484503:0.460350:0.468069:0.436512:0.468069:0.000000:0.000000:0.000000
La matriz ampliada correspondiente :@0.312049:0.505868:0.553728:0.505868:0.553728:0.490928:0.312049:0.490928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es::@0.312049:0.520997:0.329184:0.520997:0.329184:0.506057:0.312049:0.506057:0.000000:0.000000:0.000000
2:@0.383349:0.540149:0.392740:0.540149:0.392740:0.522968:0.383349:0.522968:0.000000
3:@0.412080:0.540149:0.421471:0.540149:0.421471:0.522968:0.412080:0.522968:0.000000
| 5:@0.443467:0.540149:0.473911:0.540149:0.473911:0.522968:0.443467:0.522968:0.000000:0.000000:0.000000
4 -1 | 1:@0.383329:0.561592:0.473891:0.561592:0.473891:0.544411:0.383329:0.544411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos el :@0.577709:0.433811:0.689396:0.433811:0.689396:0.418871:0.577709:0.418871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente sistemas :@0.577709:0.448940:0.699254:0.448940:0.699254:0.434000:0.577709:0.434000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones::@0.577709:0.464069:0.673711:0.464069:0.673711:0.449129:0.577709:0.449129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  x:@0.737819:0.436749:0.750486:0.436749:0.750486:0.421834:0.737819:0.421834:0.000000:0.000000:0.000000
 +  2  +    = 4:@0.750436:0.436749:0.838373:0.436749:0.838373:0.421809:0.750436:0.421809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.779202:0.436749:0.785996:0.436749:0.785996:0.421834:0.779202:0.421834:0.000000
z:@0.806595:0.436749:0.813171:0.436749:0.813171:0.421834:0.806595:0.421834:0.000000
2  +     – 3  = -6:@0.737802:0.451877:0.843861:0.451877:0.843861:0.436938:0.737802:0.436938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.745901:0.451877:0.752678:0.451877:0.752678:0.436963:0.745901:0.436963:0.000000
y:@0.776876:0.451877:0.783670:0.451877:0.783670:0.436963:0.776876:0.436963:0.000000
z:@0.807164:0.451877:0.813740:0.451877:0.813740:0.436963:0.807164:0.436963:0.000000
3  + 2  + 2  = 7:@0.737785:0.467006:0.841435:0.467006:0.841435:0.452067:0.737785:0.452067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.745885:0.467006:0.752662:0.467006:0.752662:0.452092:0.745885:0.452092:0.000000
y:@0.777763:0.467006:0.784556:0.467006:0.784556:0.452092:0.777763:0.452092:0.000000
z:@0.809657:0.467006:0.816234:0.467006:0.816234:0.452092:0.809657:0.452092:0.000000
La matriz ampliada correspondiente es::@0.577709:0.497092:0.836390:0.497092:0.836390:0.482152:0.577709:0.482152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 2 1 | 4:@0.586725:0.528018:0.690951:0.528018:0.690951:0.510837:0.586725:0.510837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 1 -3 | -6:@0.586687:0.549461:0.693779:0.549461:0.693779:0.532280:0.586687:0.532280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 2 2 | 7:@0.586648:0.570904:0.690874:0.570904:0.690874:0.553724:0.586648:0.553724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En estas matrices ampliadas, :@0.726035:0.520212:0.907170:0.520212:0.907170:0.506020:0.726035:0.506020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la última columna represen-:@0.726035:0.534585:0.901778:0.534585:0.901778:0.520392:0.726035:0.520392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ta los términos independien-:@0.726035:0.548957:0.907215:0.548957:0.907215:0.534765:0.726035:0.534765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tes de cada ecuación en el :@0.726035:0.563330:0.895475:0.563330:0.895475:0.549137:0.726035:0.549137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema.:@0.726035:0.577702:0.776295:0.577702:0.776295:0.563510:0.726035:0.563510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.8 Matrices equivalentes:@0.293660:0.615106:0.493272:0.615106:0.493272:0.598159:0.293660:0.598159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos matrices A y B son equivalentes A~B si B deriva de A realizando las siguientes :@0.293660:0.638890:0.930695:0.638890:0.930695:0.622456:0.293660:0.622456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones::@0.293660:0.655532:0.386230:0.655532:0.386230:0.639098:0.293660:0.639098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i.  La fila   se intercambia con la fila   (:@0.293660:0.675752:0.582719:0.675752:0.582719:0.659082:0.293660:0.659082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.371496:0.675752:0.375711:0.675752:0.375711:0.659068:0.371496:0.659068:0.000000
j f:@0.569558:0.675752:0.587855:0.675752:0.587855:0.659068:0.569558:0.659068:0.000000:0.000000:0.000000
i :@0.587800:0.678924:0.592167:0.678924:0.592167:0.669198:0.587800:0.669198:0.000000:0.000000
 :@0.592135:0.678924:0.594410:0.678924:0.594410:0.669206:0.592135:0.669206:0.000000
↔ :@0.594363:0.675336:0.618053:0.675336:0.618053:0.658347:0.594363:0.658347:0.000000:0.000000
f :@0.617961:0.675752:0.628850:0.675752:0.628850:0.659068:0.617961:0.659068:0.000000:0.000000
j:@0.623101:0.678924:0.625538:0.678924:0.625538:0.669198:0.623101:0.669198:0.000000
).:@0.628776:0.675752:0.637740:0.675752:0.637740:0.659082:0.628776:0.659082:0.000000:0.000000
ii.  La fila   se multiplica por una constante  (   ).:@0.293660:0.695968:0.666802:0.695968:0.666802:0.679298:0.293660:0.679298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.371498:0.695968:0.375713:0.695968:0.375713:0.679284:0.371498:0.679284:0.000000
k  k f:@0.621358:0.695968:0.655485:0.695968:0.655485:0.679284:0.621358:0.679284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.655420:0.699140:0.657877:0.699140:0.657877:0.689414:0.655420:0.689414:0.000000
iii.  Se suma   veces la fila i a la fila  y se deja el resultado en la fila   ( + ).:@0.293660:0.716184:0.848353:0.716184:0.848353:0.699514:0.293660:0.699514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.391101:0.716184:0.399495:0.716184:0.399495:0.699500:0.391101:0.699500:0.000000
 j:@0.552662:0.716184:0.560117:0.716184:0.560117:0.699500:0.552662:0.699500:0.000000:0.000000
j kf f:@0.791993:0.716184:0.837062:0.716184:0.837062:0.699500:0.791993:0.699500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.818538:0.719356:0.820995:0.719356:0.820995:0.709630:0.818538:0.709630:0.000000
j:@0.836990:0.719356:0.839426:0.719356:0.839426:0.709630:0.836990:0.709630:0.000000
A = :@0.293668:0.761838:0.323249:0.761838:0.323249:0.745404:0.293668:0.745404:0.000000:0.000000:0.000000:0.000000
1:@0.332155:0.743314:0.341546:0.743314:0.341546:0.726133:0.332155:0.726133:0.000000
2:@0.360886:0.743314:0.370277:0.743314:0.370277:0.726133:0.360886:0.726133:0.000000
3:@0.389617:0.743314:0.399008:0.743314:0.399008:0.726133:0.389617:0.726133:0.000000
4:@0.332135:0.764757:0.341527:0.764757:0.341527:0.747576:0.332135:0.747576:0.000000
5:@0.360867:0.764757:0.370258:0.764757:0.370258:0.747576:0.360867:0.747576:0.000000
6:@0.389598:0.764757:0.398989:0.764757:0.398989:0.747576:0.389598:0.747576:0.000000
7:@0.332116:0.786201:0.341507:0.786201:0.341507:0.769020:0.332116:0.769020:0.000000
8:@0.360847:0.786201:0.370238:0.786201:0.370238:0.769020:0.360847:0.769020:0.000000
9:@0.389579:0.786201:0.398970:0.786201:0.398970:0.769020:0.389579:0.769020:0.000000
    B = :@0.408235:0.761842:0.452173:0.761842:0.452173:0.745408:0.408235:0.745408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.461057:0.742420:0.470448:0.742420:0.470448:0.725239:0.461057:0.725239:0.000000
2:@0.489789:0.742420:0.499180:0.742420:0.499180:0.725239:0.489789:0.725239:0.000000
0:@0.518520:0.742420:0.527911:0.742420:0.527911:0.725239:0.518520:0.725239:0.000000
0 -3 -6:@0.461038:0.763863:0.530759:0.763863:0.530759:0.746683:0.461038:0.746683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.461019:0.785307:0.470410:0.785307:0.470410:0.768126:0.461019:0.768126:0.000000
0:@0.489750:0.785307:0.499141:0.785307:0.499141:0.768126:0.489750:0.768126:0.000000
0:@0.518481:0.785307:0.527872:0.785307:0.527872:0.768126:0.518481:0.768126:0.000000
A~B porque se realizaron las siguientes operaciones en A: -4 +        -7 +         -2 + :@0.293660:0.809421:0.906024:0.809421:0.906024:0.792987:0.293660:0.792987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f f:@0.727755:0.809421:0.753162:0.809421:0.753162:0.793015:0.727755:0.793015:0.000000:0.000000:0.000000
1:@0.732382:0.812593:0.737619:0.812593:0.737619:0.803012:0.732382:0.803012:0.000000
2:@0.753088:0.812593:0.758325:0.812593:0.758325:0.803012:0.753088:0.803012:0.000000
f:@0.800248:0.809421:0.804942:0.809421:0.804942:0.793015:0.800248:0.793015:0.000000
1 :@0.804866:0.812593:0.812411:0.812593:0.812411:0.803012:0.804866:0.803012:0.000000:0.000000
f:@0.827196:0.809421:0.831890:0.809421:0.831890:0.793015:0.827196:0.793015:0.000000
3:@0.831826:0.812593:0.837063:0.812593:0.837063:0.803012:0.831826:0.803012:0.000000
f:@0.878986:0.809421:0.883680:0.809421:0.883680:0.793015:0.878986:0.793015:0.000000
2 :@0.883604:0.812593:0.891148:0.812593:0.891148:0.803012:0.883604:0.803012:0.000000:0.000000
f:@0.905932:0.809421:0.910626:0.809421:0.910626:0.793015:0.905932:0.793015:0.000000
3:@0.910564:0.812593:0.915801:0.812593:0.915801:0.803012:0.910564:0.803012:0.000000
C = :@0.293660:0.855080:0.322964:0.855080:0.322964:0.838646:0.293660:0.838646:0.000000:0.000000:0.000000:0.000000
2:@0.331879:0.836551:0.341270:0.836551:0.341270:0.819370:0.331879:0.819370:0.000000
4:@0.360610:0.836551:0.370001:0.836551:0.370001:0.819370:0.360610:0.819370:0.000000
6:@0.389341:0.836551:0.398732:0.836551:0.398732:0.819370:0.389341:0.819370:0.000000
1:@0.331859:0.857994:0.341250:0.857994:0.341250:0.840814:0.331859:0.840814:0.000000
3:@0.360591:0.857994:0.369982:0.857994:0.369982:0.840814:0.360591:0.840814:0.000000
2:@0.389322:0.857994:0.398713:0.857994:0.398713:0.840814:0.389322:0.840814:0.000000
5:@0.331840:0.879438:0.341231:0.879438:0.341231:0.862257:0.331840:0.862257:0.000000
8:@0.360571:0.879438:0.369962:0.879438:0.369962:0.862257:0.360571:0.862257:0.000000
7:@0.389303:0.879438:0.398694:0.879438:0.398694:0.862257:0.389303:0.862257:0.000000
    D = :@0.407959:0.855080:0.454511:0.855080:0.454511:0.838646:0.407959:0.838646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.463395:0.835658:0.472786:0.835658:0.472786:0.818478:0.463395:0.818478:0.000000
2:@0.492126:0.835658:0.501517:0.835658:0.501517:0.818478:0.492126:0.818478:0.000000
3:@0.520858:0.835658:0.530249:0.835658:0.530249:0.818478:0.520858:0.818478:0.000000
0:@0.463376:0.857102:0.472767:0.857102:0.472767:0.839921:0.463376:0.839921:0.000000
1 -1:@0.492107:0.857102:0.533097:0.857102:0.533097:0.839921:0.492107:0.839921:0.000000:0.000000:0.000000:0.000000
0:@0.463357:0.878545:0.472748:0.878545:0.472748:0.861364:0.463357:0.861364:0.000000
0:@0.492088:0.878545:0.501479:0.878545:0.501479:0.861364:0.492088:0.861364:0.000000
1:@0.520819:0.878545:0.530210:0.878545:0.530210:0.861364:0.520819:0.861364:0.000000
C~D porque se realizaron las siguientes operaciones en C::@0.293660:0.902659:0.712004:0.902659:0.712004:0.886225:0.293660:0.886225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.296692:0.921720:0.304858:0.921720:0.304858:0.906780:0.296692:0.906780:0.000000
2:@0.296692:0.938110:0.304858:0.938110:0.304858:0.923170:0.296692:0.923170:0.000000
             – +  2 +              –  :@0.307810:0.929557:0.521222:0.929557:0.521222:0.913123:0.307810:0.913123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.311768:0.929557:0.316462:0.929557:0.316462:0.913151:0.311768:0.913151:0.000000
1:@0.316388:0.932729:0.321625:0.932729:0.321625:0.923149:0.316388:0.923149:0.000000
f:@0.374148:0.929557:0.378842:0.929557:0.378842:0.913151:0.374148:0.913151:0.000000
1 :@0.378784:0.932729:0.386328:0.932729:0.386328:0.923149:0.378784:0.923149:0.000000:0.000000
f f:@0.401112:0.929557:0.424536:0.929557:0.424536:0.913151:0.401112:0.913151:0.000000:0.000000:0.000000
2:@0.405744:0.932729:0.410980:0.932729:0.410980:0.923149:0.405744:0.923149:0.000000
2 :@0.424462:0.932729:0.432006:0.932729:0.432006:0.923149:0.424462:0.923149:0.000000:0.000000
f:@0.446792:0.929557:0.451486:0.929557:0.451486:0.913151:0.446792:0.913151:0.000000
3:@0.451424:0.932729:0.456661:0.932729:0.456661:0.923149:0.451424:0.923149:0.000000
1:@0.526447:0.922258:0.534613:0.922258:0.534613:0.907318:0.526447:0.907318:0.000000
10:@0.522397:0.938648:0.538662:0.938648:0.538662:0.923708:0.522397:0.923708:0.000000:0.000000
 :@0.539936:0.929557:0.543967:0.929557:0.543967:0.913123:0.539936:0.913123:0.000000
f:@0.543893:0.929557:0.548587:0.929557:0.548587:0.913151:0.543893:0.913151:0.000000
3:@0.548514:0.932729:0.553750:0.932729:0.553750:0.923149:0.548514:0.923149:0.000000
Competencia :@0.078581:0.146688:0.187141:0.146688:0.187141:0.129741:0.078581:0.129741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.163330:0.176057:0.163330:0.176057:0.146383:0.078581:0.146383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una matriz derivada :@0.085738:0.184417:0.221955:0.184417:0.221955:0.169477:0.085738:0.169477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un sistema de :@0.085738:0.199546:0.202149:0.199546:0.202149:0.184606:0.085738:0.184606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones lineales es la :@0.085738:0.214675:0.249178:0.214675:0.249178:0.199735:0.085738:0.199735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matriz aumentada :@0.085738:0.229804:0.220757:0.229804:0.220757:0.214397:0.085738:0.214397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del :@0.220663:0.229804:0.244961:0.229804:0.244961:0.214864:0.220663:0.214864:0.000000:0.000000:0.000000:0.000000
sistema. Por ejemplo::@0.085738:0.244932:0.225017:0.244932:0.225017:0.229993:0.085738:0.229993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado el sistema::@0.085738:0.263629:0.193531:0.263629:0.193531:0.248690:0.085738:0.248690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.085738:0.301880:0.096598:0.301880:0.096598:0.286941:0.085738:0.286941:0.000000:0.000000:0.000000
Su matriz aumentada es::@0.085738:0.320591:0.247683:0.320591:0.247683:0.305651:0.085738:0.305651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.085738:0.372074:0.093000:0.372074:0.093000:0.357134:0.085738:0.357134:0.000000:0.000000
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