﻿24:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Determinantes de órdenes 2 y 3:@0.404235:0.134794:0.796492:0.134794:0.796492:0.090135:0.404235:0.090135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.18. Calcular determinantes de matrices reales cuadradas de orden 2 y 3 para resolver sistemas de ecuaciones.:@0.148948:0.940354:0.640642:0.940354:0.640642:0.930312:0.148948:0.930312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición de determinante de orden dos:@0.404236:0.161480:0.734460:0.161480:0.734460:0.143798:0.404236:0.143798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   =              una matriz de :@0.404236:0.190258:0.618716:0.190258:0.618716:0.173760:0.404236:0.173760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.432498:0.190374:0.443768:0.190374:0.443768:0.173905:0.432498:0.173905:0.000000
M:@0.618716:0.190374:0.633994:0.190374:0.633994:0.173905:0.618716:0.173905:0.000000
2×2:@0.633992:0.193536:0.650199:0.193536:0.650199:0.183918:0.633992:0.183918:0.000000:0.000000:0.000000
[ ].:@0.650198:0.190258:0.677971:0.190258:0.677971:0.173760:0.650198:0.173760:0.000000:0.000000:0.000000:0.000000
R:@0.656055:0.189171:0.669360:0.189171:0.669360:0.176309:0.656055:0.176309:0.000000
El determinante de   se nota con det( ) y se define como:@0.404231:0.224959:0.818409:0.224959:0.818409:0.208462:0.404231:0.208462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.543269:0.225075:0.554539:0.225075:0.554539:0.208606:0.543269:0.208606:0.000000
A:@0.675754:0.225075:0.687024:0.225075:0.687024:0.208606:0.675754:0.208606:0.000000
det( ) =   –  .:@0.404231:0.242310:0.526546:0.242310:0.526546:0.225813:0.404231:0.225813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.433996:0.242426:0.445266:0.242426:0.445266:0.225957:0.433996:0.225957:0.000000
ad bc:@0.470311:0.242426:0.523791:0.242426:0.523791:0.225957:0.470311:0.225957:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.404231:0.277388:0.534886:0.277388:0.534886:0.260601:0.404231:0.260601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404231:0.305265:0.416503:0.305265:0.416503:0.288550:0.404231:0.288550:0.000000:0.000000
  Sea   =                .  Entonces,:@0.416503:0.305048:0.627764:0.305048:0.627764:0.288550:0.416503:0.288550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.456228:0.305163:0.467498:0.305163:0.467498:0.288695:0.456228:0.288695:0.000000
det( ) =                = 1 × (–1) – 3 × 2 = –7.:@0.427966:0.350434:0.727252:0.350434:0.727252:0.333937:0.427966:0.333937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.457731:0.350550:0.469001:0.350550:0.469001:0.334081:0.457731:0.334081:0.000000
2.:@0.404231:0.397831:0.416503:0.397831:0.416503:0.381116:0.404231:0.381116:0.000000:0.000000
  Sea la matriz   =                .  Se tiene:@0.416503:0.397614:0.680512:0.397614:0.680512:0.381116:0.416503:0.381116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.520940:0.397730:0.532210:0.397730:0.532210:0.381261:0.520940:0.381261:0.000000
det( ) =                = 10 × 2 – 1 × 5 = 15.:@0.427966:0.446572:0.709412:0.446572:0.709412:0.430074:0.427966:0.430074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.457731:0.446688:0.469001:0.446688:0.469001:0.430219:0.457731:0.430219:0.000000
Definición de determinante de orden tres :@0.404236:0.489808:0.740571:0.489808:0.740571:0.472125:0.404236:0.472125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   =                              una matriz de :@0.404236:0.530994:0.684989:0.530994:0.684989:0.514496:0.404236:0.514496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.432498:0.531110:0.443768:0.531110:0.443768:0.514641:0.432498:0.514641:0.000000
M:@0.684989:0.531110:0.700266:0.531110:0.700266:0.514641:0.684989:0.514641:0.000000
3×3:@0.700263:0.534272:0.716470:0.534272:0.716470:0.524654:0.700263:0.524654:0.000000:0.000000:0.000000
[ ].:@0.716469:0.530994:0.744242:0.530994:0.744242:0.514496:0.716469:0.514496:0.000000:0.000000:0.000000:0.000000
R:@0.722326:0.529907:0.735630:0.529907:0.735630:0.517045:0.722326:0.517045:0.000000
El determinante de   se nota con det( ) y se calcula con la siguiente :@0.404229:0.583046:0.895994:0.583046:0.895994:0.566549:0.404229:0.566549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.543554:0.583162:0.554824:0.583162:0.554824:0.566693:0.543554:0.566693:0.000000
A:@0.676426:0.583162:0.687697:0.583162:0.687697:0.566693:0.676426:0.566693:0.000000
fórmula::@0.404229:0.600397:0.463181:0.600397:0.463181:0.583899:0.404229:0.583899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
det( ) =                   –                    + :@0.404229:0.635099:0.682643:0.635099:0.682643:0.618601:0.404229:0.618601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.433994:0.635214:0.445264:0.635214:0.445264:0.618745:0.433994:0.618745:0.000000
a:@0.470309:0.635214:0.479287:0.635214:0.479287:0.618745:0.470309:0.618745:0.000000
11:@0.479292:0.638376:0.489198:0.638376:0.489198:0.628758:0.479292:0.628758:0.000000:0.000000
a:@0.574254:0.635214:0.583231:0.635214:0.583231:0.618745:0.574254:0.618745:0.000000
12:@0.583231:0.638376:0.593137:0.638376:0.593137:0.628758:0.583231:0.628758:0.000000:0.000000
a:@0.682643:0.635214:0.691620:0.635214:0.691620:0.618745:0.682643:0.618745:0.000000
13:@0.691619:0.638376:0.701525:0.638376:0.701525:0.628758:0.691619:0.628758:0.000000:0.000000
Su resultado es::@0.404236:0.676929:0.514027:0.676929:0.514027:0.660431:0.404236:0.660431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
det( ) = :@0.404236:0.711630:0.469006:0.711630:0.469006:0.695133:0.404236:0.695133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.434001:0.711746:0.445271:0.711746:0.445271:0.695277:0.434001:0.695277:0.000000
a a a:@0.467696:0.711746:0.514437:0.711746:0.514437:0.695277:0.467696:0.695277:0.000000:0.000000:0.000000:0.000000:0.000000
11 22 33:@0.476669:0.714907:0.524343:0.714907:0.524343:0.705289:0.476669:0.705289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 + :@0.524342:0.711630:0.542124:0.711630:0.542124:0.695133:0.524342:0.695133:0.000000:0.000000:0.000000
a a a:@0.540814:0.711746:0.587556:0.711746:0.587556:0.695277:0.540814:0.695277:0.000000:0.000000:0.000000:0.000000:0.000000
12 23 31:@0.549789:0.714907:0.597462:0.714907:0.597462:0.705289:0.549789:0.705289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 + :@0.597462:0.711630:0.615244:0.711630:0.615244:0.695133:0.597462:0.695133:0.000000:0.000000:0.000000
a a a:@0.613933:0.711746:0.660675:0.711746:0.660675:0.695277:0.613933:0.695277:0.000000:0.000000:0.000000:0.000000:0.000000
21 32 13:@0.622909:0.714907:0.670582:0.714907:0.670582:0.705289:0.622909:0.705289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 – :@0.670581:0.711630:0.688054:0.711630:0.688054:0.695133:0.670581:0.695133:0.000000:0.000000:0.000000
a a a:@0.686744:0.711746:0.733486:0.711746:0.733486:0.695277:0.686744:0.695277:0.000000:0.000000:0.000000:0.000000:0.000000
13 22 31:@0.695720:0.714907:0.743392:0.714907:0.743392:0.705289:0.695720:0.705289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 – :@0.743393:0.711630:0.760867:0.711630:0.760867:0.695133:0.743393:0.695133:0.000000:0.000000:0.000000
a a a:@0.759557:0.711746:0.806299:0.711746:0.806299:0.695277:0.759557:0.695277:0.000000:0.000000:0.000000:0.000000:0.000000
12 21 33:@0.768530:0.714907:0.816205:0.714907:0.816205:0.705289:0.768530:0.705289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 – :@0.816204:0.711630:0.833678:0.711630:0.833678:0.695133:0.816204:0.695133:0.000000:0.000000:0.000000
a a a:@0.832368:0.711746:0.879110:0.711746:0.879110:0.695277:0.832368:0.695277:0.000000:0.000000:0.000000:0.000000:0.000000
11 23 32:@0.841343:0.714907:0.889016:0.714907:0.889016:0.705289:0.841343:0.705289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.889015:0.711630:0.891770:0.711630:0.891770:0.695133:0.889015:0.695133:0.000000
 :@0.404244:0.728981:0.408386:0.728981:0.408386:0.712484:0.404244:0.712484:0.000000
Ejercicios resueltos:@0.404244:0.746708:0.534899:0.746708:0.534899:0.729921:0.404244:0.729921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.404244:0.763900:0.422873:0.763900:0.422873:0.747185:0.404244:0.747185:0.000000:0.000000:0.000000
                          = 1(–2)5 + 3(–1)(–3) + 414 – [4(–2)(–3) + 1(–1)1 + 345]:@0.404244:0.784590:0.891790:0.784590:0.891790:0.768093:0.404244:0.768093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
· ·:@0.672570:0.784706:0.685998:0.784706:0.685998:0.768237:0.672570:0.768237:0.000000:0.000000:0.000000
· ·:@0.864780:0.784706:0.878208:0.784706:0.878208:0.768237:0.864780:0.768237:0.000000:0.000000:0.000000
 :@0.404263:0.822849:0.408405:0.822849:0.408405:0.806351:0.404263:0.806351:0.000000
 :@0.428007:0.822849:0.432149:0.822849:0.432149:0.806351:0.428007:0.806351:0.000000
= –10 + 9 + 16 – [24 – 1 + 60] = 15 – 83 = –68.:@0.509798:0.822849:0.847961:0.822849:0.847961:0.806351:0.509798:0.806351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.404263:0.857767:0.424357:0.857767:0.424357:0.841053:0.404263:0.841053:0.000000:0.000000:0.000000
                          = 21(–3) + 024 + 5(–7)4 – 514 – 224 – 0(–7)(–3):@0.404263:0.878458:0.881251:0.878458:0.881251:0.861960:0.404263:0.861960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
·:@0.535402:0.878574:0.538253:0.878574:0.538253:0.862105:0.535402:0.862105:0.000000
· ·:@0.604853:0.878574:0.618666:0.878574:0.618666:0.862105:0.604853:0.862105:0.000000:0.000000:0.000000
· ·:@0.721042:0.878574:0.734855:0.878574:0.734855:0.862105:0.721042:0.862105:0.000000:0.000000:0.000000
· ·:@0.770245:0.878574:0.784058:0.878574:0.784058:0.862105:0.770245:0.862105:0.000000:0.000000:0.000000
                        = –6 + 0 – 140 – 20 – 16 – 0 = –182.:@0.404263:0.913159:0.772268:0.913159:0.772268:0.896662:0.404263:0.896662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.471653:0.181435:0.504789:0.181435:0.504789:0.164966:0.471653:0.164966:0.000000:0.000000:0.000000
c d:@0.472539:0.202820:0.504731:0.202820:0.504731:0.186351:0.472539:0.186351:0.000000:0.000000:0.000000
1:@0.497706:0.295749:0.506202:0.295749:0.506202:0.279252:0.497706:0.279252:0.000000
2:@0.526469:0.295749:0.534965:0.295749:0.534965:0.279252:0.526469:0.279252:0.000000
3 –1:@0.497706:0.317134:0.540225:0.317134:0.540225:0.300636:0.497706:0.300636:0.000000:0.000000:0.000000:0.000000
10 5:@0.558792:0.389334:0.600309:0.389334:0.600309:0.372836:0.558792:0.372836:0.000000:0.000000:0.000000:0.000000
1:@0.563050:0.410719:0.571546:0.410719:0.571546:0.394221:0.563050:0.394221:0.000000
2:@0.591813:0.410719:0.600309:0.410719:0.600309:0.394221:0.591813:0.394221:0.000000
1 2:@0.504605:0.341945:0.539494:0.341945:0.539494:0.325447:0.504605:0.325447:0.000000:0.000000:0.000000
3 –1:@0.504605:0.363330:0.544754:0.363330:0.544754:0.346832:0.504605:0.346832:0.000000:0.000000:0.000000:0.000000
10 5:@0.502685:0.437834:0.544202:0.437834:0.544202:0.421337:0.502685:0.421337:0.000000:0.000000:0.000000:0.000000
1:@0.506943:0.459219:0.515439:0.459219:0.515439:0.442721:0.506943:0.442721:0.000000
2:@0.535706:0.459219:0.544202:0.459219:0.544202:0.442721:0.535706:0.442721:0.000000
a:@0.472109:0.511976:0.481086:0.511976:0.481086:0.495507:0.472109:0.495507:0.000000
11:@0.481086:0.515138:0.490992:0.515138:0.490992:0.505520:0.481086:0.505520:0.000000:0.000000
a:@0.510098:0.511976:0.519076:0.511976:0.519076:0.495507:0.510098:0.495507:0.000000
12:@0.519076:0.515138:0.528982:0.515138:0.528982:0.505520:0.519076:0.505520:0.000000:0.000000
a:@0.548089:0.511976:0.557067:0.511976:0.557067:0.495507:0.548089:0.495507:0.000000
13:@0.557067:0.515138:0.566973:0.515138:0.566973:0.505520:0.557067:0.505520:0.000000:0.000000
a:@0.472109:0.533360:0.481086:0.533360:0.481086:0.516892:0.472109:0.516892:0.000000
21:@0.481086:0.536521:0.490992:0.536521:0.490992:0.526903:0.481086:0.526903:0.000000:0.000000
a:@0.510098:0.533360:0.519076:0.533360:0.519076:0.516892:0.510098:0.516892:0.000000
22:@0.519076:0.536521:0.528982:0.536521:0.528982:0.526903:0.519076:0.526903:0.000000:0.000000
a:@0.548089:0.533360:0.557067:0.533360:0.557067:0.516892:0.548089:0.516892:0.000000
23:@0.557067:0.536521:0.566973:0.536521:0.566973:0.526903:0.557067:0.526903:0.000000:0.000000
a:@0.472109:0.554744:0.481086:0.554744:0.481086:0.538276:0.472109:0.538276:0.000000
31:@0.481086:0.557905:0.490992:0.557905:0.490992:0.548287:0.481086:0.548287:0.000000:0.000000
a:@0.510098:0.554744:0.519076:0.554744:0.519076:0.538276:0.510098:0.538276:0.000000
32:@0.519076:0.557905:0.528982:0.557905:0.528982:0.548287:0.519076:0.548287:0.000000:0.000000
a:@0.548089:0.554744:0.557067:0.554744:0.557067:0.538276:0.548089:0.538276:0.000000
33:@0.557067:0.557905:0.566973:0.557905:0.566973:0.548287:0.557067:0.548287:0.000000:0.000000
1 4 –3:@0.436781:0.762707:0.502129:0.762707:0.502129:0.746209:0.436781:0.746209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 –2 1:@0.436781:0.784092:0.496889:0.784092:0.496889:0.767594:0.436781:0.767594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 –1 5:@0.436781:0.805477:0.496889:0.805477:0.496889:0.788979:0.436781:0.788979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 0 –5:@0.437976:0.857008:0.502129:0.857008:0.502129:0.840511:0.437976:0.840511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–7 1 2:@0.432716:0.878393:0.496869:0.878393:0.496869:0.861896:0.432716:0.861896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 4 –3:@0.437956:0.899778:0.502110:0.899778:0.502110:0.883280:0.437956:0.883280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.498911:0.624091:0.507888:0.624091:0.507888:0.607622:0.498911:0.607622:0.000000
22:@0.507888:0.627253:0.517795:0.627253:0.517795:0.617635:0.507888:0.617635:0.000000:0.000000
a:@0.530053:0.624091:0.539031:0.624091:0.539031:0.607622:0.530053:0.607622:0.000000
23:@0.539031:0.627253:0.548937:0.627253:0.548937:0.617635:0.539031:0.617635:0.000000:0.000000
a:@0.498911:0.645475:0.507888:0.645475:0.507888:0.629006:0.498911:0.629006:0.000000
32:@0.507888:0.648637:0.517795:0.648637:0.517795:0.639019:0.507888:0.639019:0.000000:0.000000
a:@0.530053:0.645475:0.539031:0.645475:0.539031:0.629006:0.530053:0.629006:0.000000
33:@0.539031:0.648637:0.548937:0.648637:0.548937:0.639019:0.539031:0.639019:0.000000:0.000000
a:@0.604888:0.624091:0.613866:0.624091:0.613866:0.607622:0.604888:0.607622:0.000000
21:@0.613866:0.627253:0.623772:0.627253:0.623772:0.617635:0.613866:0.617635:0.000000:0.000000
a:@0.636032:0.624091:0.645010:0.624091:0.645010:0.607622:0.636032:0.607622:0.000000
23:@0.645010:0.627253:0.654916:0.627253:0.654916:0.617635:0.645010:0.617635:0.000000:0.000000
a:@0.604888:0.645475:0.613866:0.645475:0.613866:0.629006:0.604888:0.629006:0.000000
31:@0.613866:0.648637:0.623772:0.648637:0.623772:0.639019:0.613866:0.639019:0.000000:0.000000
a:@0.636032:0.645475:0.645010:0.645475:0.645010:0.629006:0.636032:0.629006:0.000000
33:@0.645010:0.648637:0.654916:0.648637:0.654916:0.639019:0.645010:0.639019:0.000000:0.000000
a:@0.712541:0.624091:0.721518:0.624091:0.721518:0.607622:0.712541:0.607622:0.000000
21:@0.721518:0.627253:0.731425:0.627253:0.731425:0.617635:0.721518:0.617635:0.000000:0.000000
a:@0.743685:0.624091:0.752663:0.624091:0.752663:0.607622:0.743685:0.607622:0.000000
22:@0.752663:0.627253:0.762569:0.627253:0.762569:0.617635:0.752663:0.617635:0.000000:0.000000
a:@0.712541:0.645475:0.721518:0.645475:0.721518:0.629006:0.712541:0.629006:0.000000
31:@0.721518:0.648637:0.731425:0.648637:0.731425:0.639019:0.721518:0.639019:0.000000:0.000000
a:@0.743685:0.645475:0.752663:0.645475:0.752663:0.629006:0.743685:0.629006:0.000000
32:@0.752663:0.648637:0.762569:0.648637:0.762569:0.639019:0.752663:0.639019:0.000000:0.000000
Saberes previos:@0.199646:0.112641:0.307805:0.112641:0.307805:0.097169:0.199646:0.097169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué entiendes por :@0.199884:0.141268:0.331297:0.141268:0.331297:0.126205:0.199884:0.126205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinante?:@0.153341:0.157110:0.246814:0.157110:0.246814:0.142047:0.153341:0.142047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.204262:0.363493:0.204262:0.363493:0.188789:0.199646:0.188789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tipo de matrices :@0.199884:0.232889:0.346884:0.232889:0.346884:0.217826:0.199884:0.217826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen determinante?:@0.153341:0.248731:0.291721:0.248731:0.291721:0.233668:0.153341:0.233668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.199646:0.477598:0.309406:0.477598:0.309406:0.462125:0.199646:0.462125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una notación muy :@0.199884:0.506225:0.326374:0.506225:0.326374:0.491162:0.199884:0.491162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común del determinante de :@0.153341:0.522067:0.339599:0.522067:0.339599:0.507004:0.153341:0.507004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la matriz:@0.153341:0.537909:0.208644:0.537909:0.208644:0.522846:0.153341:0.522846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.153341:0.569699:0.163631:0.569699:0.163631:0.554662:0.153341:0.554662:0.000000
 =                es               , que se:@0.163631:0.569593:0.355677:0.569593:0.355677:0.554530:0.163631:0.554530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lee “determinante de la matriz  ”.:@0.153341:0.603059:0.361501:0.603059:0.361501:0.587996:0.153341:0.587996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.345248:0.603165:0.355538:0.603165:0.355538:0.588128:0.345248:0.588128:0.000000
Escribiremos                =   –  , :@0.153341:0.634743:0.364913:0.634743:0.364913:0.619680:0.153341:0.619680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ad bc:@0.309784:0.634849:0.358616:0.634849:0.358616:0.619812:0.309784:0.619812:0.000000:0.000000:0.000000:0.000000:0.000000
o también,   :@0.153341:0.664922:0.234341:0.664922:0.234341:0.649859:0.153341:0.649859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
det( ) =                =   –  .:@0.153341:0.693583:0.335397:0.693583:0.335397:0.678520:0.153341:0.678520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.180517:0.693689:0.190807:0.693689:0.190807:0.678652:0.180517:0.678652:0.000000
ad bc:@0.284052:0.693689:0.332882:0.693689:0.332882:0.678652:0.284052:0.678652:0.000000:0.000000:0.000000:0.000000:0.000000
Una estrategia para establecer :@0.153341:0.732396:0.351221:0.732396:0.351221:0.717333:0.153341:0.717333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el determinante de orden tres :@0.153341:0.748238:0.349678:0.748238:0.349678:0.733175:0.153341:0.733175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se representa en esta gráfica::@0.153341:0.764080:0.337399:0.764080:0.337399:0.749017:0.153341:0.749017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suman::@0.153341:0.787473:0.205759:0.787473:0.205759:0.772001:0.153341:0.772001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Restan::@0.153341:0.862908:0.204473:0.862908:0.204473:0.847435:0.153341:0.847435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.192163:0.560974:0.224511:0.560974:0.224511:0.545938:0.192163:0.545938:0.000000:0.000000:0.000000
c d:@0.192972:0.582361:0.224458:0.582361:0.224458:0.567324:0.192972:0.567324:0.000000:0.000000:0.000000
a b:@0.264198:0.560974:0.296546:0.560974:0.296546:0.545938:0.264198:0.545938:0.000000:0.000000:0.000000
c d:@0.265007:0.582361:0.296493:0.582361:0.296493:0.567324:0.265007:0.567324:0.000000:0.000000:0.000000
a b:@0.249121:0.623839:0.281469:0.623839:0.281469:0.608803:0.249121:0.608803:0.000000:0.000000:0.000000
c d:@0.249930:0.645226:0.281416:0.645226:0.281416:0.630189:0.249930:0.630189:0.000000:0.000000:0.000000
a b:@0.223992:0.684190:0.256340:0.684190:0.256340:0.669153:0.223992:0.669153:0.000000:0.000000:0.000000
c d:@0.224801:0.705577:0.256287:0.705577:0.256287:0.690540:0.224801:0.690540:0.000000:0.000000:0.000000
a:@0.219100:0.786737:0.227297:0.786737:0.227297:0.771700:0.219100:0.771700:0.000000
11:@0.227296:0.789623:0.236341:0.789623:0.236341:0.780841:0.227296:0.780841:0.000000:0.000000
a:@0.257090:0.786737:0.265287:0.786737:0.265287:0.771700:0.257090:0.771700:0.000000
12:@0.265287:0.789623:0.274332:0.789623:0.274332:0.780841:0.265287:0.780841:0.000000:0.000000
a:@0.295079:0.786737:0.303276:0.786737:0.303276:0.771700:0.295079:0.771700:0.000000
13:@0.303276:0.789623:0.312321:0.789623:0.312321:0.780841:0.303276:0.780841:0.000000:0.000000
a:@0.219100:0.808120:0.227297:0.808120:0.227297:0.793083:0.219100:0.793083:0.000000
21:@0.227296:0.811007:0.236341:0.811007:0.236341:0.802225:0.227296:0.802225:0.000000:0.000000
a:@0.257090:0.808120:0.265287:0.808120:0.265287:0.793083:0.257090:0.793083:0.000000
22:@0.265287:0.811007:0.274332:0.811007:0.274332:0.802225:0.265287:0.802225:0.000000:0.000000
a:@0.295079:0.808120:0.303276:0.808120:0.303276:0.793083:0.295079:0.793083:0.000000
23:@0.303276:0.811007:0.312321:0.811007:0.312321:0.802225:0.303276:0.802225:0.000000:0.000000
a:@0.219100:0.829504:0.227297:0.829504:0.227297:0.814467:0.219100:0.814467:0.000000
31:@0.227296:0.832391:0.236341:0.832391:0.236341:0.823609:0.227296:0.823609:0.000000:0.000000
a:@0.257090:0.829504:0.265287:0.829504:0.265287:0.814467:0.257090:0.814467:0.000000
32:@0.265287:0.832391:0.274332:0.832391:0.274332:0.823609:0.265287:0.823609:0.000000:0.000000
a:@0.295079:0.829504:0.303276:0.829504:0.303276:0.814467:0.295079:0.814467:0.000000
33:@0.303276:0.832391:0.312321:0.832391:0.312321:0.823609:0.303276:0.823609:0.000000:0.000000
a:@0.219100:0.862175:0.227297:0.862175:0.227297:0.847138:0.219100:0.847138:0.000000
11:@0.227296:0.865061:0.236341:0.865061:0.236341:0.856279:0.227296:0.856279:0.000000:0.000000
a:@0.257090:0.862175:0.265287:0.862175:0.265287:0.847138:0.257090:0.847138:0.000000
12:@0.265287:0.865061:0.274332:0.865061:0.274332:0.856279:0.265287:0.856279:0.000000:0.000000
a:@0.295079:0.862175:0.303276:0.862175:0.303276:0.847138:0.295079:0.847138:0.000000
13:@0.303276:0.865061:0.312321:0.865061:0.312321:0.856279:0.303276:0.856279:0.000000:0.000000
a:@0.219100:0.883558:0.227297:0.883558:0.227297:0.868521:0.219100:0.868521:0.000000
21:@0.227296:0.886445:0.236341:0.886445:0.236341:0.877663:0.227296:0.877663:0.000000:0.000000
a:@0.257090:0.883558:0.265287:0.883558:0.265287:0.868521:0.257090:0.868521:0.000000
22:@0.265287:0.886445:0.274332:0.886445:0.274332:0.877663:0.265287:0.877663:0.000000:0.000000
a:@0.295079:0.883558:0.303276:0.883558:0.303276:0.868521:0.295079:0.868521:0.000000
23:@0.303276:0.886445:0.312321:0.886445:0.312321:0.877663:0.303276:0.877663:0.000000:0.000000
a:@0.219100:0.904942:0.227297:0.904942:0.227297:0.889905:0.219100:0.889905:0.000000
31:@0.227296:0.907829:0.236341:0.907829:0.236341:0.899047:0.227296:0.899047:0.000000:0.000000
a:@0.257090:0.904942:0.265287:0.904942:0.265287:0.889905:0.257090:0.889905:0.000000
32:@0.265287:0.907829:0.274332:0.907829:0.274332:0.899047:0.265287:0.899047:0.000000:0.000000
a:@0.295079:0.904942:0.303276:0.904942:0.303276:0.889905:0.295079:0.889905:0.000000
33:@0.303276:0.907829:0.312321:0.907829:0.312321:0.899047:0.303276:0.899047:0.000000:0.000000
Glosario:@0.199646:0.319016:0.267111:0.319016:0.267111:0.301334:0.199646:0.301334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinante: :@0.199884:0.345831:0.298914:0.345831:0.298914:0.330570:0.199884:0.330570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matriz :@0.298914:0.345633:0.343575:0.345633:0.343575:0.330570:0.298914:0.330570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrada, y, por extensión, ex-:@0.153341:0.361475:0.348537:0.361475:0.348537:0.346412:0.153341:0.346412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presión que se obtiene a partir :@0.153341:0.377317:0.354655:0.377317:0.354655:0.362254:0.153341:0.362254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de sus elementos aplicando :@0.153341:0.393159:0.336187:0.393159:0.336187:0.378096:0.153341:0.378096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciertas reglas.:@0.153341:0.409001:0.238457:0.409001:0.238457:0.393938:0.153341:0.393938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146910:0.322749:0.158315:0.321240:0.153112:0.299095:0.141707:0.300604:0.000000
c:@0.150292:0.333718:0.160891:0.332316:0.155808:0.310681:0.145209:0.312084:0.000000
b:@0.160667:0.326501:0.173381:0.324818:0.168249:0.302976:0.155535:0.304658:0.000000