86:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El método de Cramer sirve para resolver sistemas de ecuaciones lineales que utilizan :@0.287490:0.150300:0.907634:0.150300:0.907634:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinantes. Este método se aplica a sistemas de ecuaciones lineales que tienen :@0.287490:0.166897:0.907671:0.166897:0.907671:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el mismo número de ecuaciones que de incógnitas.:@0.287490:0.183493:0.666818:0.183493:0.666818:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el sistema :@0.287490:0.217944:0.398883:0.217944:0.398883:0.201555:0.287490:0.201555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se tienen los determinantes::@0.510981:0.217948:0.721402:0.217948:0.721402:0.201559:0.510981:0.201559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinante :@0.339352:0.265722:0.443802:0.265722:0.443802:0.250358:0.339352:0.250358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del sistema:@0.349069:0.280809:0.430618:0.280809:0.430618:0.265445:0.349069:0.265445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinante :@0.543547:0.265722:0.647997:0.265722:0.647997:0.250358:0.543547:0.250358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la variable :@0.539862:0.280809:0.639889:0.280809:0.639889:0.265445:0.539862:0.265445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.639889:0.280809:0.648231:0.280809:0.648231:0.265257:0.639889:0.265257:0.000000
Determinante :@0.750507:0.265722:0.849429:0.265722:0.849429:0.250358:0.750507:0.250358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la variable  :@0.746352:0.280809:0.842310:0.280809:0.842310:0.265445:0.746352:0.265445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.841807:0.280809:0.850133:0.280809:0.850133:0.265257:0.841807:0.265257:0.000000
∆=:@0.345025:0.324839:0.376736:0.324839:0.376736:0.307898:0.345025:0.307898:0.000000:0.000000
s:@0.356246:0.325253:0.362622:0.325253:0.362622:0.309861:0.356246:0.309861:0.000000
a:@0.384229:0.314882:0.393497:0.314882:0.393497:0.299490:0.384229:0.299490:0.000000
b:@0.416770:0.314882:0.426038:0.314882:0.426038:0.299490:0.416770:0.299490:0.000000
a:@0.383123:0.335626:0.392392:0.335626:0.392392:0.320234:0.383123:0.320234:0.000000
b:@0.415664:0.335626:0.424932:0.335626:0.424932:0.320234:0.415664:0.320234:0.000000
1:@0.392339:0.316881:0.397537:0.316881:0.397537:0.307407:0.392339:0.307407:0.000000
1:@0.424488:0.316881:0.429687:0.316881:0.429687:0.307407:0.424488:0.307407:0.000000
2:@0.391902:0.337628:0.397100:0.337628:0.397100:0.328154:0.391902:0.328154:0.000000
2:@0.424052:0.337628:0.429250:0.337628:0.429250:0.328154:0.424052:0.328154:0.000000
∆=:@0.549220:0.324839:0.582940:0.324839:0.582940:0.307898:0.549220:0.307898:0.000000:0.000000
x:@0.560441:0.325253:0.567904:0.325253:0.567904:0.309861:0.560441:0.309861:0.000000
c:@0.590439:0.314882:0.598104:0.314882:0.598104:0.299490:0.590439:0.299490:0.000000
b:@0.622114:0.314882:0.631382:0.314882:0.631382:0.299490:0.622114:0.299490:0.000000
c:@0.589333:0.335626:0.596999:0.335626:0.596999:0.320234:0.589333:0.320234:0.000000
b:@0.621008:0.335626:0.630277:0.335626:0.630277:0.320234:0.621008:0.320234:0.000000
1:@0.597684:0.316881:0.602883:0.316881:0.602883:0.307407:0.597684:0.307407:0.000000
1:@0.629834:0.316881:0.635033:0.316881:0.635033:0.307407:0.629834:0.307407:0.000000
2:@0.597248:0.337628:0.602446:0.337628:0.602446:0.328154:0.597248:0.328154:0.000000
2:@0.629397:0.337628:0.634596:0.337628:0.634596:0.328154:0.629397:0.328154:0.000000
∆=:@0.752646:0.324839:0.786366:0.324839:0.786366:0.307898:0.752646:0.307898:0.000000:0.000000
y:@0.763867:0.325253:0.771349:0.325253:0.771349:0.309861:0.763867:0.309861:0.000000
a:@0.793865:0.314882:0.803134:0.314882:0.803134:0.299490:0.793865:0.299490:0.000000
c:@0.826682:0.314882:0.834348:0.314882:0.834348:0.299490:0.826682:0.299490:0.000000
a:@0.792759:0.335626:0.802028:0.335626:0.802028:0.320234:0.792759:0.320234:0.000000
c:@0.825577:0.335626:0.833242:0.335626:0.833242:0.320234:0.825577:0.320234:0.000000
1:@0.801975:0.316881:0.807173:0.316881:0.807173:0.307407:0.801975:0.307407:0.000000
1:@0.833933:0.316881:0.839131:0.316881:0.839131:0.307407:0.833933:0.307407:0.000000
2:@0.801538:0.337628:0.806737:0.337628:0.806737:0.328154:0.801538:0.328154:0.000000
2:@0.833496:0.337628:0.838695:0.337628:0.838695:0.328154:0.833496:0.328154:0.000000
La solución del sistema se halla mediante las expresiones::@0.287495:0.379988:0.707620:0.379988:0.707620:0.363599:0.287495:0.363599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.542882:0.411778:0.550345:0.411778:0.550345:0.396386:0.542882:0.396386:0.000000
x:@0.581743:0.403066:0.589206:0.403066:0.589206:0.387674:0.581743:0.387674:0.000000
s:@0.582758:0.422582:0.589134:0.422582:0.589134:0.407190:0.582758:0.407190:0.000000
y:@0.603055:0.411778:0.610536:0.411778:0.610536:0.396386:0.603055:0.396386:0.000000
y:@0.641916:0.403066:0.649397:0.403066:0.649397:0.387674:0.641916:0.387674:0.000000
s:@0.642931:0.422582:0.649306:0.422582:0.649306:0.407190:0.642931:0.407190:0.000000
=:@0.555262:0.411363:0.565378:0.411363:0.565378:0.394423:0.555262:0.394423:0.000000
∆:@0.570522:0.402648:0.581799:0.402648:0.581799:0.385707:0.570522:0.385707:0.000000
∆:@0.571536:0.422161:0.582813:0.422161:0.582813:0.405220:0.571536:0.405220:0.000000
=:@0.615435:0.411363:0.625551:0.411363:0.625551:0.394423:0.615435:0.394423:0.000000
∆:@0.630695:0.402648:0.641972:0.402648:0.641972:0.385707:0.630695:0.385707:0.000000
∆:@0.631709:0.422161:0.642985:0.422161:0.642985:0.405220:0.631709:0.405220:0.000000
; :@0.593555:0.411778:0.603063:0.411778:0.603063:0.395391:0.593555:0.395391:0.000000:0.000000
Si   = 0 , el sistema es inconsistente y no tiene solución, para resolver un sistema de :@0.287495:0.449332:0.907676:0.449332:0.907676:0.432943:0.287495:0.432943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.303785:0.448917:0.315063:0.448917:0.315063:0.431975:0.303785:0.431975:0.000000
s:@0.315063:0.449332:0.321439:0.449332:0.321439:0.433939:0.315063:0.433939:0.000000
ecuaciones por la regla de Cramer   ≠ 0.:@0.287495:0.465928:0.590370:0.465928:0.590370:0.449539:0.287495:0.449539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.541463:0.465513:0.552741:0.465513:0.552741:0.448571:0.541463:0.448571:0.000000
s:@0.552741:0.465928:0.559117:0.465928:0.559117:0.450535:0.552741:0.450535:0.000000
Ejemplos::@0.287495:0.496784:0.357852:0.496784:0.357852:0.480146:0.287495:0.480146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.287495:0.520502:0.304670:0.520502:0.304670:0.503878:0.287495:0.503878:0.000000:0.000000:0.000000
Resolvamos el siguiente sistema, mediante la regla de Cramer.:@0.311230:0.520502:0.764766:0.520502:0.764766:0.504114:0.311230:0.504114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.546595:0.542569:0.555587:0.542569:0.555587:0.526181:0.546595:0.526181:0.000000
2:@0.618863:0.542569:0.627855:0.542569:0.627855:0.526181:0.618863:0.526181:0.000000
x:@0.556103:0.542569:0.563565:0.542569:0.563565:0.527177:0.556103:0.527177:0.000000
y:@0.582600:0.542569:0.590081:0.542569:0.590081:0.527177:0.582600:0.527177:0.000000
+= −:@0.567896:0.542154:0.618900:0.542154:0.618900:0.525213:0.567896:0.525213:0.000000:0.000000:0.000000:0.000000
:@0.537566:0.543440:0.546668:0.543440:0.546668:0.526499:0.537566:0.526499:0.000000
:@0.537566:0.556025:0.546668:0.556025:0.546668:0.539084:0.537566:0.539084:0.000000
:@0.537566:0.568582:0.546668:0.568582:0.546668:0.551641:0.537566:0.551641:0.000000
3  – 12  = –39:@0.546595:0.564421:0.652048:0.564421:0.652048:0.548033:0.546595:0.548033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.555587:0.564421:0.563049:0.564421:0.563049:0.549029:0.555587:0.549029:0.000000
y:@0.598317:0.564421:0.605798:0.564421:0.605798:0.549029:0.598317:0.549029:0.000000
 :@0.287495:0.595903:0.291531:0.595903:0.291531:0.579514:0.287495:0.579514:0.000000
Hallamos el valor del determinante del sistema::@0.311239:0.595903:0.657213:0.595903:0.657213:0.579514:0.311239:0.579514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆=:@0.460198:0.627320:0.491909:0.627320:0.491909:0.610379:0.460198:0.610379:0.000000:0.000000
−:@0.523910:0.637702:0.534026:0.637702:0.534026:0.620761:0.523910:0.620761:0.000000
=:@0.557980:0.627316:0.568097:0.627316:0.568097:0.610375:0.557980:0.610375:0.000000
−:@0.588310:0.627316:0.598426:0.627316:0.598426:0.610375:0.588310:0.610375:0.000000
(:@0.580738:0.629070:0.586874:0.629070:0.586874:0.607504:0.580738:0.607504:0.000000
):@0.616927:0.629070:0.623063:0.629070:0.623063:0.607504:0.616927:0.607504:0.000000
−:@0.625844:0.627320:0.635960:0.627320:0.635960:0.610379:0.625844:0.610379:0.000000
():@0.648300:0.629070:0.667298:0.629070:0.667298:0.607504:0.648300:0.607504:0.000000:0.000000
=−:@0.670650:0.627320:0.694585:0.627320:0.694585:0.610379:0.670650:0.610379:0.000000:0.000000
s:@0.471424:0.627735:0.477800:0.627735:0.477800:0.612343:0.471424:0.612343:0.000000
5:@0.498142:0.617372:0.507134:0.617372:0.507134:0.600984:0.498142:0.600984:0.000000
1:@0.543618:0.617372:0.552610:0.617372:0.552610:0.600984:0.543618:0.600984:0.000000
3:@0.497999:0.638116:0.506991:0.638116:0.506991:0.621729:0.497999:0.621729:0.000000
12:@0.533986:0.638116:0.551915:0.638116:0.551915:0.621729:0.533986:0.621729:0.000000:0.000000
512:@0.571225:0.627731:0.616296:0.627731:0.616296:0.611343:0.571225:0.611343:0.000000:0.000000:0.000000
3 1:@0.638500:0.627731:0.663147:0.627735:0.663147:0.611347:0.638500:0.611343:0.000000:0.000000:0.000000
63:@0.694564:0.627735:0.712476:0.627735:0.712476:0.611347:0.694564:0.611347:0.000000:0.000000
 :@0.287495:0.666378:0.291531:0.666378:0.291531:0.649989:0.287495:0.649989:0.000000
Calculamos los determinantes de  y ::@0.311239:0.666378:0.598709:0.666378:0.598709:0.649989:0.311239:0.649989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x     y:@0.559181:0.666378:0.595502:0.666378:0.595502:0.650985:0.559181:0.650985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆=:@0.443031:0.698390:0.476751:0.698390:0.476751:0.681449:0.443031:0.681449:0.000000:0.000000
−:@0.492506:0.688032:0.502622:0.688032:0.502622:0.671091:0.492506:0.671091:0.000000
−:@0.483447:0.708772:0.493563:0.708772:0.493563:0.691831:0.483447:0.691831:0.000000
−:@0.528941:0.708772:0.539057:0.708772:0.539057:0.691831:0.528941:0.691831:0.000000
=− −:@0.562993:0.698386:0.614384:0.698386:0.614384:0.681445:0.562993:0.681445:0.000000:0.000000:0.000000:0.000000
(:@0.596691:0.700140:0.602827:0.700140:0.602827:0.678574:0.596691:0.678574:0.000000
) (:@0.632880:0.700140:0.660601:0.700140:0.660601:0.678574:0.632880:0.678574:0.000000:0.000000:0.000000
−−:@0.641797:0.698390:0.672163:0.698390:0.672163:0.681449:0.641797:0.681449:0.000000:0.000000
)():@0.691226:0.700140:0.717409:0.700140:0.717409:0.678574:0.691226:0.678574:0.000000:0.000000:0.000000
=:@0.720769:0.698390:0.730885:0.698390:0.730885:0.681449:0.720769:0.681449:0.000000
x:@0.454270:0.698805:0.461732:0.698805:0.461732:0.683413:0.454270:0.683413:0.000000
2:@0.502584:0.688442:0.511576:0.688442:0.511576:0.672055:0.502584:0.672055:0.000000
1:@0.549756:0.688442:0.558748:0.688442:0.558748:0.672055:0.549756:0.672055:0.000000
39:@0.493523:0.709187:0.511433:0.709187:0.511433:0.692799:0.493523:0.692799:0.000000:0.000000
12:@0.538999:0.709187:0.556909:0.709187:0.556909:0.692799:0.538999:0.692799:0.000000:0.000000
2:@0.586889:0.698801:0.595881:0.698801:0.595881:0.682413:0.586889:0.682413:0.000000
12:@0.614344:0.698801:0.632273:0.698801:0.632273:0.682413:0.614344:0.682413:0.000000:0.000000
391:@0.672129:0.698801:0.713257:0.698801:0.713257:0.682413:0.672129:0.682413:0.000000:0.000000:0.000000
63:@0.734302:0.698805:0.752212:0.698805:0.752212:0.682417:0.734302:0.682417:0.000000:0.000000
∆=:@0.456229:0.745736:0.489949:0.745736:0.489949:0.728796:0.456229:0.728796:0.000000:0.000000
−:@0.529805:0.735378:0.539921:0.735378:0.539921:0.718437:0.529805:0.718437:0.000000
−:@0.521969:0.756118:0.532085:0.756118:0.532085:0.739177:0.521969:0.739177:0.000000
=:@0.556629:0.745732:0.566745:0.745732:0.566745:0.728791:0.556629:0.728791:0.000000
−:@0.586958:0.745732:0.597074:0.745732:0.597074:0.728791:0.586958:0.728791:0.000000
(:@0.579371:0.747486:0.585507:0.747486:0.585507:0.725920:0.579371:0.725920:0.000000
):@0.616131:0.747486:0.622267:0.747486:0.622267:0.725920:0.616131:0.725920:0.000000
−:@0.625041:0.745736:0.635157:0.745736:0.635157:0.728796:0.625041:0.728796:0.000000
−:@0.655076:0.745736:0.665192:0.745736:0.665192:0.728796:0.655076:0.728796:0.000000
( ):@0.647509:0.747486:0.680898:0.747486:0.680898:0.725920:0.647509:0.725920:0.000000:0.000000:0.000000
=−:@0.684266:0.745736:0.708202:0.745736:0.708202:0.728796:0.684266:0.728796:0.000000:0.000000
y:@0.467462:0.746151:0.474943:0.746151:0.474943:0.730759:0.467462:0.730759:0.000000
5:@0.496200:0.735789:0.505192:0.735789:0.505192:0.719401:0.496200:0.719401:0.000000
2:@0.541731:0.735789:0.550723:0.735789:0.550723:0.719401:0.541731:0.719401:0.000000
3:@0.496053:0.756533:0.505045:0.756533:0.505045:0.740145:0.496053:0.740145:0.000000
39:@0.532039:0.756533:0.549968:0.756533:0.549968:0.740145:0.532039:0.740145:0.000000:0.000000
539:@0.569857:0.746151:0.614928:0.746151:0.614928:0.729764:0.569857:0.729764:0.000000:0.000000:0.000000
3:@0.637703:0.746151:0.646695:0.746151:0.646695:0.729764:0.637703:0.729764:0.000000
2:@0.665158:0.746151:0.674150:0.746151:0.674150:0.729764:0.665158:0.729764:0.000000
189:@0.708151:0.746151:0.734980:0.746151:0.734980:0.729764:0.708151:0.729764:0.000000:0.000000:0.000000
 :@0.287495:0.784796:0.291531:0.784796:0.291531:0.768407:0.287495:0.768407:0.000000
Determinamos el valor de las incógnitas::@0.311239:0.784796:0.607718:0.784796:0.607718:0.768407:0.311239:0.768407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.524657:0.815583:0.532120:0.815583:0.532120:0.800191:0.524657:0.800191:0.000000
x:@0.563526:0.806859:0.570989:0.806859:0.570989:0.791467:0.563526:0.791467:0.000000
s:@0.564521:0.826387:0.570897:0.826387:0.570897:0.810995:0.564521:0.810995:0.000000
y:@0.524665:0.862177:0.532146:0.862177:0.532146:0.846785:0.524665:0.846785:0.000000
y:@0.563526:0.853451:0.571007:0.853451:0.571007:0.838059:0.563526:0.838059:0.000000
s:@0.564521:0.872980:0.570897:0.872980:0.570897:0.857588:0.564521:0.857588:0.000000
=:@0.537039:0.815168:0.547155:0.815168:0.547155:0.798227:0.537039:0.798227:0.000000
∆:@0.552285:0.806444:0.563562:0.806444:0.563562:0.789503:0.552285:0.789503:0.000000
∆:@0.553306:0.825972:0.564583:0.825972:0.564583:0.809031:0.553306:0.809031:0.000000
=:@0.577352:0.815172:0.587468:0.815172:0.587468:0.798231:0.577352:0.798231:0.000000
−:@0.592591:0.825972:0.602707:0.825972:0.602707:0.809031:0.592591:0.809031:0.000000
=:@0.625131:0.815172:0.635247:0.815172:0.635247:0.798231:0.625131:0.798231:0.000000
=:@0.535672:0.861763:0.545788:0.861763:0.545788:0.844822:0.535672:0.844822:0.000000
∆:@0.552292:0.853036:0.563569:0.853036:0.563569:0.836095:0.552292:0.836095:0.000000
∆:@0.553306:0.872565:0.564583:0.872565:0.564583:0.855625:0.553306:0.855625:0.000000
=:@0.577345:0.861761:0.587462:0.861761:0.587462:0.844821:0.577345:0.844821:0.000000
−:@0.592584:0.853035:0.602700:0.853035:0.602700:0.836094:0.592584:0.836094:0.000000
−:@0.600427:0.872565:0.610543:0.872565:0.610543:0.855625:0.600427:0.855625:0.000000
=:@0.634640:0.861761:0.644756:0.861761:0.644756:0.844821:0.634640:0.844821:0.000000
63:@0.602670:0.806859:0.620580:0.806859:0.620580:0.790471:0.602670:0.790471:0.000000:0.000000
63:@0.602670:0.826387:0.620580:0.826387:0.620580:0.809999:0.602670:0.809999:0.000000:0.000000
–1; :@0.637219:0.815587:0.665113:0.815585:0.665113:0.799198:0.637219:0.799199:0.000000:0.000000:0.000000:0.000000
189:@0.602670:0.853451:0.629499:0.853451:0.629499:0.837063:0.602670:0.837063:0.000000:0.000000:0.000000
63:@0.611587:0.872980:0.629498:0.872980:0.629498:0.856593:0.611587:0.856593:0.000000:0.000000
3:@0.647885:0.862176:0.656877:0.862176:0.656877:0.845789:0.647885:0.845789:0.000000
Sistemas de ecuaciones lineales. :@0.286308:0.063945:0.853530:0.063945:0.853530:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Método de Cramer:@0.286308:0.094120:0.611411:0.094120:0.611411:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
Un :@0.087488:0.277349:0.110623:0.277349:0.110623:0.262450:0.087488:0.262450:0.000000:0.000000:0.000000
determinante:@0.110623:0.277349:0.197367:0.277349:0.197367:0.263356:0.110623:0.263356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que se :@0.197367:0.277349:0.248847:0.277349:0.248847:0.262450:0.197367:0.262450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simboliza   es un valor :@0.092380:0.292437:0.248847:0.292437:0.248847:0.277538:0.092380:0.277538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.159088:0.292060:0.169340:0.292060:0.169340:0.276658:0.159088:0.276658:0.000000
escalar  (número) :@0.130023:0.307525:0.248846:0.307525:0.248846:0.292625:0.130023:0.292625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asociado a una matriz :@0.099902:0.322612:0.248846:0.322612:0.248846:0.307713:0.099902:0.307713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrada.:@0.179911:0.337700:0.245179:0.337700:0.245179:0.322801:0.179911:0.322801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para una matriz de dos :@0.093636:0.356346:0.248846:0.356346:0.248846:0.341446:0.093636:0.341446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
filas y dos columnas, el :@0.093770:0.371433:0.248846:0.371433:0.248846:0.356534:0.093770:0.356534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinante, es::@0.129989:0.386521:0.245177:0.386521:0.245177:0.371622:0.129989:0.371622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆=:@0.149685:0.416705:0.175058:0.416705:0.175058:0.399764:0.149685:0.399764:0.000000:0.000000
a:@0.181786:0.406748:0.191055:0.406748:0.191055:0.391356:0.181786:0.391356:0.000000
a:@0.218252:0.406748:0.227520:0.406748:0.227520:0.391356:0.218252:0.391356:0.000000
a:@0.181454:0.427492:0.190723:0.427492:0.190723:0.412100:0.181454:0.412100:0.000000
a:@0.217920:0.427492:0.227188:0.427492:0.227188:0.412100:0.217920:0.412100:0.000000
11:@0.189896:0.408747:0.200229:0.408747:0.200229:0.399273:0.189896:0.399273:0.000000:0.000000
12:@0.226360:0.408747:0.236693:0.408747:0.236693:0.399273:0.226360:0.399273:0.000000:0.000000
21:@0.190226:0.429494:0.200559:0.429494:0.200559:0.420020:0.190226:0.420020:0.000000:0.000000
22:@0.226690:0.429494:0.237023:0.429494:0.237023:0.420020:0.226690:0.420020:0.000000:0.000000
=:@0.117439:0.446881:0.127555:0.446881:0.127555:0.429940:0.117439:0.429940:0.000000
⋅:@0.151804:0.446881:0.156410:0.446881:0.156410:0.429940:0.151804:0.429940:0.000000
−:@0.182262:0.446881:0.192378:0.446881:0.192378:0.429940:0.182262:0.429940:0.000000
⋅:@0.216720:0.446881:0.221326:0.446881:0.221326:0.429940:0.216720:0.429940:0.000000
aa:@0.130964:0.447296:0.167687:0.447296:0.167687:0.431904:0.130964:0.431904:0.000000:0.000000
a:@0.195216:0.447296:0.204484:0.447296:0.204484:0.431904:0.195216:0.431904:0.000000
a:@0.223335:0.447296:0.232603:0.447296:0.232603:0.431904:0.223335:0.431904:0.000000
11:@0.139079:0.449295:0.149412:0.449295:0.149412:0.439821:0.139079:0.439821:0.000000:0.000000
22:@0.167202:0.449295:0.177535:0.449295:0.177535:0.439821:0.167202:0.439821:0.000000:0.000000
21:@0.204007:0.449295:0.214340:0.449295:0.214340:0.439821:0.204007:0.439821:0.000000:0.000000
22:@0.232130:0.449295:0.242463:0.449295:0.242463:0.439821:0.232130:0.439821:0.000000:0.000000
Investiga: ¿cómo se :@0.123354:0.471396:0.248191:0.471396:0.248191:0.457402:0.123354:0.457402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelve un determinante :@0.084706:0.486484:0.248193:0.486484:0.248193:0.472490:0.084706:0.472490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de orden 3?:@0.172807:0.501571:0.245177:0.501571:0.245177:0.487578:0.172807:0.487578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.116218:0.244907:0.223759:0.244907:0.223759:0.228007:0.116218:0.228007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa al siguiente :@0.116636:0.644724:0.248844:0.644724:0.248844:0.629825:0.116636:0.629825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.198405:0.659811:0.245177:0.659811:0.245177:0.644912:0.198405:0.644912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt12:@0.141782:0.678457:0.245177:0.678457:0.245177:0.663332:0.141782:0.663332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprime las páginas 1 a :@0.093819:0.697103:0.248193:0.697103:0.248193:0.683109:0.093819:0.683109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la 5. Resuelve los sistemas :@0.084254:0.712191:0.248191:0.712191:0.248191:0.698197:0.084254:0.698197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones y refuerza :@0.091039:0.727278:0.248189:0.727278:0.248189:0.713284:0.091039:0.713284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos los métodos :@0.129402:0.742366:0.248193:0.742366:0.248193:0.728372:0.129402:0.728372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudiados.:@0.173159:0.757453:0.245176:0.757453:0.245176:0.743460:0.173159:0.743460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.147127:0.612000:0.197598:0.612000:0.197598:0.595099:0.147127:0.595099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.901404:0.827945:0.901404:0.822838:0.889322:0.822838:0.889322:0.827945:0.000000
Shutterstock:@0.901404:0.822838:0.901404:0.785120:0.889493:0.785120:0.889493:0.822838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.55. :@0.290067:0.954959:0.338404:0.954959:0.338404:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver un sistema de dos ecuaciones lineales con dos incógnitas de manera algebraica, utilizando el método de deter­:@0.338498:0.954959:0.901060:0.954959:0.901060:0.944530:0.338498:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minantes (Cramer).:@0.290067:0.965521:0.378614:0.965521:0.378614:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000