81:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.5 Método de eliminación gaussiana :@0.073089:0.135050:0.369221:0.135050:0.369221:0.118103:0.073089:0.118103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por su topografía, su clima y sus suelos, la región Andina es apropiada para el cultivo :@0.073089:0.162412:0.674334:0.162412:0.674334:0.145978:0.073089:0.145978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de palmito, brócoli, tomate, cereales, legumbres y frutas que son muy cotizadas en :@0.073089:0.179054:0.675280:0.179054:0.675280:0.162620:0.073089:0.162620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los países a los cuales se exporta.:@0.073089:0.195695:0.311034:0.195695:0.311034:0.179262:0.073089:0.179262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una empresa agrícola dispone de 100 hectáreas en las que se producen palmito y :@0.073089:0.223057:0.675181:0.223057:0.675181:0.206624:0.073089:0.206624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
brócoli. Cada hectárea de palmito requiere 700 horas de mano de obra y cada :@0.073089:0.239699:0.674625:0.239699:0.674625:0.223265:0.073089:0.223265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hectárea de brócoli, 300 horas. Si se dispone de 44 000 horas y se utilizan todos los :@0.073089:0.256341:0.675286:0.256341:0.675286:0.239907:0.073089:0.239907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recursos humanos y de tierras, ¿cuántas hectáreas de cada grupo deben sembrarse? :@0.073089:0.272983:0.675183:0.272983:0.675183:0.256549:0.073089:0.256549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Organizamos los datos en una tabla y tenemos lo siguiente::@0.073089:0.300345:0.504452:0.300345:0.504452:0.283911:0.073089:0.283911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ha. Palmito:@0.110476:0.332863:0.190777:0.332863:0.190777:0.317457:0.110476:0.317457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ha. Brócoli:@0.267278:0.332863:0.342359:0.332863:0.342359:0.317457:0.267278:0.317457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total:@0.424701:0.332863:0.460042:0.332863:0.460042:0.317457:0.424701:0.317457:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación:@0.554588:0.332863:0.619012:0.332863:0.619012:0.317457:0.554588:0.317457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.147229:0.359481:0.154006:0.359481:0.154006:0.344567:0.147229:0.344567:0.000000
y:@0.301415:0.359481:0.308209:0.359481:0.308209:0.344567:0.301415:0.344567:0.000000
100:@0.430115:0.359481:0.454613:0.359481:0.454613:0.344541:0.430115:0.344541:0.000000:0.000000:0.000000
x  y:@0.550783:0.359481:0.581004:0.359481:0.581004:0.344567:0.550783:0.344567:0.000000:0.000000:0.000000:0.000000
 +  = 100:@0.557560:0.359481:0.622805:0.359481:0.622805:0.344541:0.557560:0.344541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Núm. horas palmito:@0.082234:0.383372:0.219017:0.383372:0.219017:0.367966:0.082234:0.367966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Núm. horas brócoli:@0.236504:0.383372:0.373118:0.383372:0.373118:0.367966:0.236504:0.367966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Total :@0.424559:0.383372:0.463633:0.383372:0.463633:0.367966:0.424559:0.367966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación:@0.554347:0.383372:0.619241:0.383372:0.619241:0.367966:0.554347:0.367966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
700:@0.135231:0.407125:0.159394:0.407125:0.159394:0.392185:0.135231:0.392185:0.000000:0.000000:0.000000
x:@0.159227:0.407125:0.166004:0.407125:0.166004:0.392210:0.159227:0.392210:0.000000
300:@0.289416:0.407125:0.313580:0.407125:0.313580:0.392185:0.289416:0.392185:0.000000:0.000000:0.000000
y:@0.313413:0.407125:0.320207:0.407125:0.320207:0.392210:0.313413:0.392210:0.000000
44 000:@0.420543:0.407125:0.464202:0.407125:0.464202:0.392185:0.420543:0.392185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
700  + 300:@0.518737:0.407125:0.590475:0.407125:0.590475:0.392185:0.518737:0.392185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.542734:0.407125:0.549511:0.407125:0.549511:0.392210:0.542734:0.392210:0.000000
y :@0.590308:0.407125:0.600114:0.407125:0.600114:0.392210:0.590308:0.392210:0.000000:0.000000
 44 000:@0.607700:0.407119:0.654856:0.407119:0.654856:0.392179:0.607700:0.392179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema de ecuaciones formado es: :@0.073089:0.453192:0.346389:0.453192:0.346389:0.436759:0.073089:0.436759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.358724:0.441416:0.391506:0.441416:0.396719:0.425703:0.363938:0.425703:0.000000:0.000000:0.000000
+ =:@0.371640:0.442095:0.408364:0.442095:0.408364:0.426480:0.371640:0.426480:0.000000:0.000000:0.000000
100:@0.409653:0.441416:0.436196:0.441416:0.436196:0.425703:0.409653:0.425703:0.000000:0.000000:0.000000
700:@0.359069:0.462218:0.385613:0.462218:0.385613:0.446505:0.359069:0.446505:0.000000:0.000000:0.000000
x:@0.385028:0.462218:0.392925:0.462218:0.398139:0.446505:0.390242:0.446505:0.000000
+:@0.397944:0.462898:0.408049:0.462898:0.408049:0.447282:0.397944:0.447282:0.000000
300:@0.409761:0.462218:0.436305:0.462218:0.436305:0.446505:0.409761:0.446505:0.000000:0.000000:0.000000
y:@0.436433:0.462218:0.444532:0.462218:0.449746:0.446505:0.441647:0.446505:0.000000
=:@0.451283:0.462898:0.461389:0.462898:0.461389:0.447282:0.451283:0.447282:0.000000
44 000:@0.464573:0.462218:0.512763:0.462218:0.512763:0.446505:0.464573:0.446505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    ; El sistema equivalente es :@0.514611:0.451659:0.717993:0.451659:0.717993:0.435947:0.514611:0.435947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.727967:0.441416:0.760748:0.441416:0.765962:0.425703:0.733180:0.425703:0.000000:0.000000:0.000000
+ =:@0.740884:0.442095:0.777607:0.442095:0.777607:0.426480:0.740884:0.426480:0.000000:0.000000:0.000000
100:@0.778895:0.441416:0.805439:0.441416:0.805439:0.425703:0.778895:0.425703:0.000000:0.000000:0.000000
7:@0.728312:0.462218:0.737295:0.462218:0.737295:0.446505:0.728312:0.446505:0.000000
x:@0.736700:0.462218:0.744597:0.462218:0.749811:0.446505:0.741914:0.446505:0.000000
+:@0.749616:0.462898:0.759722:0.462898:0.759722:0.447282:0.749616:0.447282:0.000000
3:@0.761434:0.462218:0.770416:0.462218:0.770416:0.446505:0.761434:0.446505:0.000000
y:@0.769750:0.462218:0.777849:0.462218:0.783063:0.446505:0.774963:0.446505:0.000000
=:@0.784602:0.462898:0.794707:0.462898:0.794707:0.447282:0.784602:0.447282:0.000000
440:@0.797892:0.462218:0.824435:0.462218:0.824435:0.446505:0.797892:0.446505:0.000000:0.000000:0.000000
El sistema equivalente es: :@0.073089:0.500475:0.260618:0.500475:0.260618:0.484042:0.073089:0.484042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@-0.005459:0.512156:0.004646:0.512156:0.004646:0.496541:-0.005459:0.496541:0.000000
44 000:@0.007831:0.511477:0.056021:0.511477:0.056021:0.495764:0.007831:0.495764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    ; El sistema equivalente es :@0.057868:0.500918:0.261250:0.500918:0.261250:0.485205:0.057868:0.485205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.271224:0.490674:0.304006:0.490674:0.309220:0.474962:0.276438:0.474962:0.000000:0.000000:0.000000
+ =:@0.284142:0.491354:0.320864:0.491354:0.320864:0.475738:0.284142:0.475738:0.000000:0.000000:0.000000
100:@0.322153:0.490674:0.348696:0.490674:0.348696:0.474962:0.322153:0.474962:0.000000:0.000000:0.000000
7:@0.271570:0.511477:0.280552:0.511477:0.280552:0.495764:0.271570:0.495764:0.000000
x:@0.279958:0.511477:0.287854:0.511477:0.293068:0.495764:0.285172:0.495764:0.000000
+:@0.292874:0.512156:0.302979:0.512156:0.302979:0.496541:0.292874:0.496541:0.000000
3:@0.304691:0.511477:0.313674:0.511477:0.313674:0.495764:0.304691:0.495764:0.000000
y:@0.313007:0.511477:0.321106:0.511477:0.326320:0.495764:0.318221:0.495764:0.000000
=:@0.327859:0.512156:0.337965:0.512156:0.337965:0.496541:0.327859:0.496541:0.000000
440:@0.341149:0.511477:0.367692:0.511477:0.367692:0.495764:0.341149:0.495764:0.000000:0.000000:0.000000
Para resolver el sistema de ecuaciones por:@0.073089:0.535151:0.370230:0.535151:0.370230:0.518717:0.073089:0.518717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.369704:0.535151:0.373514:0.535151:0.373514:0.518204:0.369704:0.518204:0.000000
eliminación gaussiana:@0.373256:0.535151:0.544610:0.535151:0.544610:0.518204:0.373256:0.518204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se procede así::@0.544297:0.535151:0.654788:0.535151:0.654788:0.518717:0.544297:0.518717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.073089:0.562513:0.135361:0.562513:0.135361:0.545566:0.073089:0.545566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, obtenemos la matriz aumentada ubicando los coeficientes de las variables :@0.135214:0.562513:0.674804:0.562513:0.674804:0.546079:0.135214:0.546079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y términos independientes.:@0.073089:0.579155:0.271527:0.579155:0.271527:0.562721:0.073089:0.562721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fila 1:@0.287276:0.602384:0.324348:0.602384:0.324348:0.585950:0.287276:0.585950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
FIla 2:@0.287276:0.626168:0.325214:0.626168:0.325214:0.609734:0.287276:0.609734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 1:@0.352100:0.602800:0.379232:0.602800:0.379232:0.586366:0.352100:0.586366:0.000000:0.000000:0.000000
100:@0.405334:0.602800:0.431877:0.602800:0.431877:0.586366:0.405334:0.586366:0.000000:0.000000:0.000000
!:@0.388546:0.614047:0.394676:0.614047:0.394676:0.597946:0.388546:0.597946:0.000000
7 3:@0.350940:0.624934:0.378643:0.624934:0.378643:0.608500:0.350940:0.608500:0.000000:0.000000:0.000000
440:@0.406272:0.624934:0.432816:0.624934:0.432816:0.608500:0.406272:0.608500:0.000000:0.000000:0.000000
⎛:@0.335883:0.603896:0.342951:0.603896:0.342951:0.585825:0.335883:0.585825:0.000000
⎝:@0.335883:0.623283:0.342951:0.623283:0.342951:0.605213:0.335883:0.605213:0.000000
⎜:@0.335883:0.617459:0.342951:0.617459:0.342951:0.599388:0.335883:0.599388:0.000000
⎞:@0.439313:0.603909:0.446382:0.603909:0.446382:0.585839:0.439313:0.585839:0.000000
⎠:@0.439313:0.623297:0.446382:0.623297:0.446382:0.605227:0.439313:0.605227:0.000000
⎟:@0.439313:0.617473:0.446382:0.617473:0.446382:0.599402:0.439313:0.599402:0.000000
Segundo:@0.073089:0.652366:0.142111:0.652366:0.142111:0.635419:0.073089:0.635419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, verificamos que la fila 1 empiece con el número 1, como es el caso. Entonces, :@0.141619:0.652366:0.674365:0.652366:0.674365:0.635932:0.141619:0.635932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la fila 2 le restamos la fila 1 multiplicada por 7 que es el coeficiente de   de la fila 2. :@0.073089:0.669008:0.647377:0.669008:0.647377:0.652574:0.073089:0.652574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.561636:0.669008:0.569091:0.669008:0.569091:0.652602:0.561636:0.652602:0.000000
Debemos que transformar a su forma escalonada, es decir, hacer ceros hacia abajo.:@0.073089:0.696370:0.671185:0.696370:0.671185:0.679936:0.073089:0.679936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.256214:0.732377:0.264718:0.732377:0.269932:0.716664:0.261428:0.716664:0.000000
2:@0.268881:0.732405:0.277863:0.732405:0.277863:0.716692:0.268881:0.716692:0.000000
F:@0.298467:0.732377:0.306971:0.732377:0.312185:0.716664:0.303681:0.716664:0.000000
2 7 1:@0.311134:0.732405:0.360853:0.732405:0.360853:0.716692:0.311134:0.716692:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.340355:0.732377:0.348859:0.732377:0.354073:0.716664:0.345569:0.716664:0.000000
1:@0.369910:0.722156:0.378892:0.722156:0.378892:0.706443:0.369910:0.706443:0.000000
1:@0.402012:0.722156:0.410995:0.722156:0.410995:0.706443:0.402012:0.706443:0.000000
100:@0.444993:0.722156:0.471536:0.722156:0.471536:0.706443:0.444993:0.706443:0.000000:0.000000:0.000000
0:@0.371033:0.744817:0.380015:0.744817:0.380015:0.729104:0.371033:0.729104:0.000000
4:@0.406987:0.744815:0.415970:0.744815:0.415970:0.729103:0.406987:0.729103:0.000000
260:@0.446835:0.744815:0.473379:0.744815:0.473379:0.729103:0.446835:0.729103:0.000000:0.000000:0.000000
Tercero:@0.073089:0.773156:0.133117:0.773156:0.133117:0.756209:0.073089:0.756209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, multiplicamos la fila 2 por –1/4. Esta última matriz ya tiene la forma :@0.133354:0.773156:0.674829:0.773156:0.674829:0.756722:0.133354:0.756722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalonada. Entonces   = 65.:@0.073089:0.789797:0.280226:0.789797:0.280226:0.773364:0.073089:0.773364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.232993:0.789797:0.240466:0.789797:0.240466:0.773391:0.232993:0.773391:0.000000
F:@0.272640:0.825783:0.281144:0.825783:0.286358:0.810070:0.277854:0.810070:0.000000
2:@0.285305:0.825811:0.294288:0.825811:0.294288:0.810098:0.285305:0.810098:0.000000
1:@0.329544:0.817340:0.338527:0.817340:0.338527:0.801627:0.329544:0.801627:0.000000
–:@0.316733:0.826271:0.325936:0.826271:0.325936:0.810558:0.316733:0.810558:0.000000
4:@0.328771:0.836727:0.337754:0.836727:0.337754:0.821015:0.328771:0.821015:0.000000
F:@0.338685:0.825783:0.347189:0.825783:0.352403:0.810070:0.343899:0.810070:0.000000
2:@0.351350:0.825811:0.360333:0.825811:0.360333:0.810098:0.351350:0.810098:0.000000
1 1 100:@0.372114:0.815562:0.446552:0.815562:0.446552:0.799849:0.372114:0.799849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 1:@0.373255:0.838223:0.403001:0.838223:0.403001:0.822510:0.373255:0.822510:0.000000:0.000000:0.000000
65:@0.429452:0.838223:0.447215:0.838223:0.447215:0.822510:0.429452:0.822510:0.000000:0.000000
Cuarto:@0.073089:0.866582:0.126775:0.866582:0.126775:0.849635:0.073089:0.849635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, reemplazamos el valor de   en cualquier ecuación del sistema.:@0.126691:0.866582:0.584122:0.866582:0.584122:0.850148:0.126691:0.850148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.323538:0.866582:0.331011:0.866582:0.331011:0.850176:0.323538:0.850176:0.000000
x:@0.300400:0.886802:0.307855:0.886802:0.307855:0.870396:0.300400:0.870396:0.000000
 + 65 = 100,  = 35.:@0.307781:0.886802:0.443461:0.886802:0.443461:0.870368:0.307781:0.870368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.392989:0.886802:0.403683:0.886802:0.403683:0.870396:0.392989:0.870396:0.000000:0.000000
Solución:@0.073070:0.914164:0.139723:0.914164:0.139723:0.897494:0.073070:0.897494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La empresa debe plantar 35 ha de palmito y 65 ha de brócoli.:@0.073070:0.934384:0.516223:0.934384:0.516223:0.917950:0.073070:0.917950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El método de eliminación :@0.740294:0.350894:0.913476:0.350894:0.913476:0.335955:0.740294:0.335955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gaussiana consiste en :@0.740294:0.366023:0.887261:0.366023:0.887261:0.351083:0.740294:0.351083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transformar un sistema :@0.740294:0.381152:0.895430:0.381152:0.895430:0.366212:0.740294:0.366212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones en otro :@0.740294:0.396281:0.890892:0.396281:0.890892:0.381341:0.740294:0.381341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivalente, de forma que :@0.740294:0.411410:0.917295:0.411410:0.917295:0.396470:0.740294:0.396470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este sea escalonado.:@0.740294:0.426539:0.874888:0.426539:0.874888:0.411599:0.740294:0.411599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una matriz es un conjunto :@0.740294:0.445236:0.918764:0.445236:0.918764:0.430296:0.740294:0.430296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de elementos ordenados :@0.740294:0.460365:0.909562:0.460365:0.909562:0.445425:0.740294:0.445425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en filas y columnas.:@0.740294:0.475494:0.867766:0.475494:0.867766:0.460554:0.740294:0.460554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.311081:0.848854:0.311081:0.848854:0.294134:0.740294:0.294134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.327723:0.837769:0.327723:0.837769:0.310776:0.740294:0.310776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.755487:0.532142:0.766255:0.532142:0.771709:0.515708:0.760940:0.515708:0.000000
=:@0.770401:0.532848:0.780507:0.532848:0.780507:0.517232:0.770401:0.517232:0.000000
a:@0.788485:0.499244:0.796842:0.499244:0.802295:0.482810:0.793938:0.482810:0.000000
11:@0.797385:0.501279:0.807658:0.501279:0.807658:0.491755:0.797385:0.491755:0.000000:0.000000
a:@0.820960:0.499244:0.829317:0.499244:0.834770:0.482810:0.826413:0.482810:0.000000
12:@0.829858:0.501279:0.840131:0.501279:0.840131:0.491755:0.829858:0.491755:0.000000:0.000000
.....:@0.841363:0.499270:0.856715:0.499270:0.856715:0.482836:0.841363:0.482836:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.855265:0.499244:0.863621:0.499244:0.869075:0.482810:0.860718:0.482810:0.000000
1:@0.864163:0.501279:0.869369:0.501279:0.869369:0.491755:0.864163:0.491755:0.000000
n:@0.867095:0.501253:0.872813:0.501253:0.875974:0.491729:0.870256:0.491729:0.000000
a:@0.788485:0.521898:0.796842:0.521898:0.802295:0.505464:0.793938:0.505464:0.000000
21:@0.798064:0.523934:0.808337:0.523934:0.808337:0.514410:0.798064:0.514410:0.000000:0.000000
a:@0.821640:0.521898:0.829996:0.521898:0.835450:0.505464:0.827093:0.505464:0.000000
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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