﻿134:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
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
1.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ó:@0.072616:0.090484:0.372170:0.090484:0.372170:0.064352:0.072616:0.064352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.773786:0.079446:0.817429:0.079446:0.817429:0.059195:0.773786:0.059195:0.000000:0.000000:0.000000
Acción y expresión:@0.721188:0.093905:0.870026:0.093905:0.870026:0.077005:0.721188:0.077005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B):@0.530866:0.144957:0.547027:0.144957:0.547027:0.128056:0.530866:0.128056:0.000000:0.000000
  ¿Cuál es una propiedad de la matriz inversa?:@0.547027:0.144957:0.883090:0.144957:0.883090:0.128568:0.547027:0.128568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.561013:0.171995:0.575921:0.171995:0.575921:0.155094:0.561013:0.155094:0.000000:0.000000
  Toda matriz tiene una sola matriz inversa.:@0.575921:0.171995:0.886729:0.171995:0.886729:0.155606:0.575921:0.155606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.561013:0.202601:0.577230:0.202601:0.577230:0.185701:0.561013:0.185701:0.000000:0.000000
  Toda matriz tiene múltiples matrices inversas.:@0.577230:0.202601:0.903674:0.202601:0.903674:0.186213:0.577230:0.186213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.561013:0.233208:0.574834:0.233208:0.574834:0.216307:0.561013:0.216307:0.000000:0.000000
  La inversa de una matriz no puede invertir-:@0.574834:0.233208:0.903686:0.233208:0.903686:0.216819:0.574834:0.216819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se a la matriz original.:@0.586149:0.249555:0.742835:0.249555:0.742835:0.233166:0.586149:0.233166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.561013:0.280162:0.581081:0.280162:0.581081:0.263261:0.561013:0.263261:0.000000:0.000000:0.000000
 (:@0.581081:0.280162:0.591032:0.280162:0.591032:0.263773:0.581081:0.263773:0.000000:0.000000
AB:@0.591032:0.280162:0.609773:0.280162:0.609773:0.263801:0.591032:0.263801:0.000000:0.000000
)  ≠ :@0.609773:0.280162:0.644311:0.280140:0.644311:0.263752:0.609773:0.263773:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.614643:0.274093:0.625257:0.274093:0.625257:0.264538:0.614643:0.264538:0.000000:0.000000
A B:@0.644311:0.280140:0.673667:0.280140:0.673667:0.263779:0.644311:0.263779:0.000000:0.000000:0.000000
–1 –1:@0.654207:0.274093:0.684281:0.274093:0.684281:0.264538:0.654207:0.264538:0.000000:0.000000:0.000000:0.000000:0.000000
C):@0.530866:0.331153:0.547488:0.331153:0.547488:0.314252:0.530866:0.314252:0.000000:0.000000
  El valor del determinante de la matriz:@0.547488:0.331153:0.835994:0.331153:0.835994:0.314764:0.547488:0.314764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.559355:0.382588:0.572568:0.382588:0.572568:0.366227:0.559355:0.366227:0.000000:0.000000
= :@0.572568:0.382588:0.587586:0.382588:0.587586:0.366199:0.572568:0.366199:0.000000:0.000000
 2:@0.593590:0.373797:0.606619:0.373797:0.606619:0.357408:0.593590:0.357408:0.000000:0.000000
–1:@0.625378:0.373797:0.643584:0.373797:0.643584:0.357408:0.625378:0.357408:0.000000:0.000000
 3:@0.593590:0.392343:0.606619:0.392343:0.606619:0.375954:0.593590:0.375954:0.000000:0.000000
 4 :@0.627958:0.392343:0.645022:0.392343:0.645022:0.375954:0.627958:0.375954:0.000000:0.000000:0.000000
 es::@0.653333:0.382593:0.676386:0.382593:0.676386:0.366204:0.653333:0.366204:0.000000:0.000000:0.000000:0.000000
a):@0.561010:0.423296:0.575918:0.423296:0.575918:0.406395:0.561010:0.406395:0.000000:0.000000
 det( ) = 0 :@0.579954:0.423296:0.662546:0.423296:0.662546:0.406907:0.579954:0.406907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.615685:0.423296:0.625581:0.423296:0.625581:0.406934:0.615685:0.406934:0.000000
b):@0.561010:0.453902:0.577226:0.453902:0.577226:0.437001:0.561010:0.437001:0.000000:0.000000
 det( ) = –5:@0.577226:0.453902:0.667725:0.453902:0.667725:0.437513:0.577226:0.437513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.615685:0.453902:0.625581:0.453902:0.625581:0.437541:0.615685:0.437541:0.000000
c):@0.561010:0.484508:0.574831:0.484508:0.574831:0.467608:0.561010:0.467608:0.000000:0.000000
 det( ) = 11:@0.574831:0.484508:0.667503:0.484508:0.667503:0.468120:0.574831:0.468120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.615685:0.484508:0.625581:0.484508:0.625581:0.468147:0.615685:0.468147:0.000000
d):@0.561010:0.515115:0.577263:0.515115:0.577263:0.498214:0.561010:0.498214:0.000000:0.000000
 det( ) = 5:@0.581299:0.515115:0.658511:0.515115:0.658511:0.498726:0.581299:0.498726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.615685:0.515115:0.625581:0.515115:0.625581:0.498754:0.615685:0.498754:0.000000
D):@0.530863:0.575553:0.548756:0.575553:0.548756:0.558653:0.530863:0.558653:0.000000:0.000000
  La matriz A = :@0.548756:0.575553:0.659876:0.575553:0.659876:0.559164:0.548756:0.559164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0:@0.665882:0.566741:0.678910:0.566741:0.678910:0.550352:0.665882:0.550352:0.000000:0.000000
–1:@0.697669:0.566741:0.715876:0.566741:0.715876:0.550352:0.697669:0.550352:0.000000:0.000000
 0:@0.665882:0.585287:0.678910:0.585287:0.678910:0.568899:0.665882:0.568899:0.000000:0.000000
 4 :@0.700249:0.585287:0.717313:0.585287:0.717313:0.568899:0.700249:0.568899:0.000000:0.000000:0.000000
 es::@0.725624:0.575537:0.748677:0.575537:0.748677:0.559148:0.725624:0.559148:0.000000:0.000000:0.000000:0.000000
a):@0.561010:0.620859:0.575918:0.620859:0.575918:0.603958:0.561010:0.603958:0.000000:0.000000
 Invertible. :@0.579954:0.620859:0.662675:0.620859:0.662675:0.604470:0.579954:0.604470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.561010:0.651465:0.577226:0.651465:0.577226:0.634565:0.561010:0.634565:0.000000:0.000000
  No invertible.:@0.577226:0.651465:0.683915:0.651465:0.683915:0.635077:0.577226:0.635077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.561010:0.682072:0.574831:0.682072:0.574831:0.665171:0.561010:0.665171:0.000000:0.000000
  Triangular superior.:@0.574831:0.682072:0.725984:0.682072:0.725984:0.665683:0.574831:0.665683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.561010:0.712678:0.577263:0.712678:0.577263:0.695778:0.561010:0.695778:0.000000:0.000000
 Triangular inferior.:@0.581299:0.712678:0.717433:0.712678:0.717433:0.696290:0.581299:0.696290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E):@0.530863:0.773117:0.545899:0.773117:0.545899:0.756216:0.530863:0.756216:0.000000:0.000000
  La matriz A = :@0.545899:0.773117:0.659876:0.773117:0.659876:0.756728:0.545899:0.756728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 1:@0.665882:0.764297:0.678910:0.764297:0.678910:0.747908:0.665882:0.747908:0.000000:0.000000
 1:@0.700249:0.764297:0.713278:0.764297:0.713278:0.747908:0.700249:0.747908:0.000000:0.000000
 1:@0.665882:0.782843:0.678910:0.782843:0.678910:0.766454:0.665882:0.766454:0.000000:0.000000
 1 :@0.700249:0.782843:0.717313:0.782843:0.717313:0.766454:0.700249:0.766454:0.000000:0.000000:0.000000
 es::@0.725624:0.773093:0.748677:0.773093:0.748677:0.756704:0.725624:0.756704:0.000000:0.000000:0.000000:0.000000
a):@0.561010:0.818415:0.575918:0.818415:0.575918:0.801514:0.561010:0.801514:0.000000:0.000000
 Identidad. :@0.575918:0.818415:0.663873:0.818415:0.663873:0.802026:0.575918:0.802026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.561010:0.849021:0.577226:0.849021:0.577226:0.832121:0.561010:0.832121:0.000000:0.000000
 Invertible.:@0.577226:0.849021:0.658638:0.849021:0.658638:0.832632:0.577226:0.832632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.561010:0.879628:0.574831:0.879628:0.574831:0.862727:0.561010:0.862727:0.000000:0.000000
  No invertible.:@0.574831:0.879628:0.683913:0.879628:0.683913:0.863239:0.574831:0.863239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.561010:0.910234:0.577263:0.910234:0.577263:0.893334:0.561010:0.893334:0.000000:0.000000
 Triangular superior.:@0.581299:0.910234:0.725984:0.910234:0.725984:0.893845:0.581299:0.893845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. Selecciona:@0.072622:0.744616:0.185934:0.744616:0.185934:0.727716:0.072622:0.727716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la respuesta correcta.:@0.185934:0.744616:0.344631:0.744616:0.344631:0.728227:0.185934:0.728227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A):@0.101112:0.781336:0.118120:0.781336:0.118120:0.764435:0.101112:0.764435:0.000000:0.000000
  Si A = :@0.118120:0.781336:0.175876:0.781336:0.175876:0.764947:0.118120:0.764947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a:@0.181873:0.772516:0.194459:0.772516:0.194459:0.756155:0.181873:0.756155:0.000000:0.000000
  c:@0.215614:0.772516:0.229914:0.772516:0.229914:0.756155:0.215614:0.756155:0.000000:0.000000:0.000000
 b:@0.181873:0.791062:0.194459:0.791062:0.194459:0.774701:0.181873:0.774701:0.000000:0.000000
 d :@0.216462:0.791062:0.232365:0.791062:0.232365:0.774701:0.216462:0.774701:0.000000:0.000000:0.000000
 , A es invertible si::@0.241616:0.781312:0.374680:0.781312:0.374680:0.764923:0.241616:0.764923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.131253:0.822623:0.146160:0.822623:0.146160:0.805722:0.131253:0.805722:0.000000:0.000000
 det( ) = 0:@0.146160:0.822623:0.228753:0.822623:0.228753:0.806234:0.146160:0.806234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.185927:0.822623:0.195823:0.822623:0.195823:0.806262:0.185927:0.806262:0.000000
b):@0.131253:0.853230:0.147469:0.853230:0.147469:0.836329:0.131253:0.836329:0.000000:0.000000
 det( ) = 1:@0.147469:0.853230:0.226100:0.853230:0.226100:0.836841:0.147469:0.836841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.184748:0.853230:0.194644:0.853230:0.194644:0.836868:0.184748:0.836868:0.000000
c):@0.131253:0.883836:0.145073:0.883836:0.145073:0.866935:0.131253:0.866935:0.000000:0.000000
 det( ) ≠ 0:@0.145073:0.883836:0.228753:0.883836:0.228753:0.867447:0.145073:0.867447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.185927:0.883836:0.195823:0.883836:0.195823:0.867475:0.185927:0.867475:0.000000
d) :@0.131253:0.914443:0.151320:0.914443:0.151320:0.897542:0.131253:0.897542:0.000000:0.000000:0.000000
 det( ) ≠ 1:@0.151320:0.914443:0.228753:0.914443:0.228753:0.898054:0.151320:0.898054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.185927:0.914443:0.195823:0.914443:0.195823:0.898081:0.185927:0.898081:0.000000
1. Determina:@0.072616:0.144979:0.185872:0.144979:0.185872:0.128079:0.072616:0.128079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si la matriz en cada literal es invertible.:@0.185872:0.144979:0.468915:0.144979:0.468915:0.128590:0.185872:0.128590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.101105:0.181699:0.119827:0.181699:0.119827:0.164798:0.101105:0.164798:0.000000:0.000000:0.000000
A:@0.129594:0.181699:0.139490:0.181699:0.139490:0.165338:0.129594:0.165338:0.000000
 = :@0.139490:0.181699:0.158544:0.181699:0.158544:0.165310:0.139490:0.165310:0.000000:0.000000:0.000000
0 0:@0.171520:0.172873:0.205740:0.172873:0.205740:0.156484:0.171520:0.156484:0.000000:0.000000:0.000000
0 –1 :@0.171520:0.191419:0.214383:0.191419:0.214383:0.175030:0.171520:0.175030:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.101108:0.320867:0.121139:0.320867:0.121139:0.303966:0.101108:0.303966:0.000000:0.000000:0.000000
A:@0.129597:0.320867:0.139493:0.320867:0.139493:0.304506:0.129597:0.304506:0.000000
 = :@0.139493:0.320867:0.158547:0.320867:0.158547:0.304478:0.139493:0.304478:0.000000:0.000000:0.000000
3 0:@0.171520:0.312070:0.205740:0.312070:0.205740:0.295681:0.171520:0.295681:0.000000:0.000000:0.000000
2 –1 :@0.171520:0.330616:0.214383:0.330616:0.214383:0.314227:0.171520:0.314227:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.101108:0.460065:0.118743:0.460065:0.118743:0.443165:0.101108:0.443165:0.000000:0.000000:0.000000
A:@0.129597:0.460065:0.139493:0.460065:0.139493:0.443704:0.129597:0.443704:0.000000
 = :@0.139493:0.460065:0.158547:0.460065:0.158547:0.443676:0.139493:0.443676:0.000000:0.000000:0.000000
2  –2:@0.171520:0.451268:0.212374:0.451268:0.212374:0.434879:0.171520:0.434879:0.000000:0.000000:0.000000:0.000000:0.000000
1  –1 :@0.171520:0.469814:0.216410:0.469814:0.216410:0.453425:0.171520:0.453425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.101108:0.616943:0.121176:0.616943:0.121176:0.600042:0.101108:0.600042:0.000000:0.000000:0.000000
A:@0.129597:0.616943:0.139493:0.616943:0.139493:0.600581:0.129597:0.600581:0.000000
 =  2:@0.139493:0.616943:0.181418:0.614746:0.181418:0.598357:0.139493:0.600554:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.172425:0.593696:0.181418:0.593696:0.181418:0.577307:0.172425:0.577307:0.000000
6:@0.200840:0.593696:0.209833:0.593696:0.209833:0.577307:0.200840:0.577307:0.000000
2:@0.228334:0.593696:0.237327:0.593696:0.237327:0.577307:0.228334:0.577307:0.000000
1:@0.200840:0.614746:0.209833:0.614746:0.209833:0.598357:0.200840:0.598357:0.000000
3:@0.228334:0.614746:0.237327:0.614746:0.237327:0.598357:0.228334:0.598357:0.000000
5:@0.172425:0.634357:0.181418:0.634357:0.181418:0.617968:0.172425:0.617968:0.000000
0:@0.200840:0.634357:0.209833:0.634357:0.209833:0.617968:0.200840:0.617968:0.000000
4:@0.228334:0.634357:0.237327:0.634357:0.237327:0.617968:0.228334:0.617968:0.000000