﻿11:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
3. :@0.514437:0.615776:0.533178:0.615776:0.533178:0.598640:0.514437:0.598640:0.000000:0.000000:0.000000
Dadas las siguientes matrices, :@0.547680:0.615776:0.785082:0.615776:0.785082:0.599387:0.547680:0.599387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelve:@0.790536:0.615776:0.854554:0.615776:0.854554:0.599152:0.790536:0.599152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los  :@0.854554:0.615776:0.888684:0.615776:0.888684:0.599387:0.854554:0.599387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicios de potencia de matrices.:@0.547680:0.632372:0.800025:0.632372:0.800025:0.615983:0.547680:0.615983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.547680:0.665523:0.557576:0.665523:0.557576:0.649162:0.547680:0.649162:0.000000
 = :@0.557576:0.665523:0.576630:0.665523:0.576630:0.649134:0.557576:0.649134:0.000000:0.000000:0.000000
 1:@0.582629:0.656724:0.595657:0.656724:0.595657:0.640335:0.582629:0.640335:0.000000:0.000000
  3:@0.614988:0.656724:0.632052:0.656724:0.632052:0.640335:0.614988:0.640335:0.000000:0.000000:0.000000
 0:@0.582629:0.675270:0.595657:0.675270:0.595657:0.658881:0.582629:0.658881:0.000000:0.000000
  1 :@0.614988:0.675270:0.636088:0.675270:0.636088:0.658881:0.614988:0.658881:0.000000:0.000000:0.000000:0.000000
 ,      = :@0.642372:0.665520:0.693656:0.665520:0.693656:0.649131:0.642372:0.649131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.665756:0.665520:0.674601:0.665520:0.674601:0.649158:0.665756:0.649158:0.000000
 0:@0.699651:0.656724:0.712680:0.656724:0.712680:0.640335:0.699651:0.640335:0.000000:0.000000
  1:@0.732010:0.656724:0.749074:0.656724:0.749074:0.640335:0.732010:0.640335:0.000000:0.000000:0.000000
 1:@0.699651:0.675270:0.712680:0.675270:0.712680:0.658881:0.699651:0.658881:0.000000:0.000000
  9 :@0.732010:0.675270:0.753110:0.675270:0.753110:0.658881:0.732010:0.658881:0.000000:0.000000:0.000000:0.000000
 ,      = :@0.759394:0.665520:0.811747:0.665520:0.811747:0.649131:0.759394:0.649131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.782778:0.665520:0.792692:0.665520:0.792692:0.649158:0.782778:0.649158:0.000000
 3:@0.817742:0.656724:0.830771:0.656724:0.830771:0.640335:0.817742:0.640335:0.000000:0.000000
  0:@0.850101:0.656724:0.867165:0.656724:0.867165:0.640335:0.850101:0.640335:0.000000:0.000000:0.000000
 3:@0.817742:0.675270:0.830771:0.675270:0.830771:0.658881:0.817742:0.658881:0.000000:0.000000
  1 :@0.850101:0.675270:0.871201:0.675270:0.871201:0.658881:0.850101:0.658881:0.000000:0.000000:0.000000:0.000000
a) :@0.547685:0.699943:0.566408:0.699943:0.566408:0.683043:0.547685:0.683043:0.000000:0.000000:0.000000
A:@0.580929:0.699943:0.590824:0.699943:0.590824:0.683582:0.580929:0.683582:0.000000
2:@0.590814:0.693891:0.596057:0.693891:0.596057:0.684336:0.590814:0.684336:0.000000
 :@0.547679:0.795996:0.551493:0.795996:0.551493:0.779095:0.547679:0.779095:0.000000
b) :@0.547679:0.819721:0.567709:0.819721:0.567709:0.802821:0.547679:0.802821:0.000000:0.000000:0.000000
A:@0.580922:0.819721:0.590818:0.819721:0.590818:0.803360:0.580922:0.803360:0.000000
3:@0.590814:0.813674:0.596057:0.813674:0.596057:0.804119:0.590814:0.804119:0.000000
 :@0.547679:0.915780:0.551493:0.915780:0.551493:0.898879:0.547679:0.898879:0.000000
c) :@0.153820:0.457928:0.171455:0.457928:0.171455:0.441027:0.153820:0.441027:0.000000:0.000000:0.000000
A=:@0.189821:0.459227:0.215361:0.459227:0.215361:0.442838:0.189821:0.442838:0.000000:0.000000
1:@0.240810:0.441980:0.249803:0.441980:0.249803:0.425591:0.240810:0.425591:0.000000
3:@0.240239:0.461426:0.249231:0.461426:0.249231:0.445037:0.240239:0.445037:0.000000
0:@0.266996:0.450942:0.275988:0.450942:0.275988:0.434553:0.266996:0.434553:0.000000
0:@0.239833:0.479391:0.248826:0.479391:0.248826:0.463002:0.239833:0.463002:0.000000
1:@0.267991:0.479391:0.276983:0.479391:0.276983:0.463002:0.267991:0.463002:0.000000
B=:@0.307481:0.459241:0.331492:0.459241:0.331492:0.442852:0.307481:0.442852:0.000000:0.000000
30:@0.355338:0.451731:0.389982:0.451731:0.389982:0.435342:0.355338:0.435342:0.000000:0.000000
01:@0.354914:0.469682:0.390977:0.469682:0.390977:0.453293:0.354914:0.453293:0.000000:0.000000
⎡:@0.221571:0.439947:0.228648:0.439947:0.228648:0.421926:0.221571:0.421926:0.000000
⎣:@0.221545:0.484062:0.228621:0.484062:0.228621:0.466041:0.221545:0.466041:0.000000
⎢:@0.221545:0.453101:0.228621:0.453101:0.228621:0.435080:0.221545:0.435080:0.000000
⎢:@0.221545:0.466268:0.228621:0.466268:0.228621:0.448247:0.221545:0.448247:0.000000
⎢:@0.221545:0.479434:0.228621:0.479434:0.228621:0.461413:0.221545:0.461413:0.000000
⎤:@0.286889:0.439948:0.293965:0.439948:0.293965:0.421928:0.286889:0.421928:0.000000
⎦:@0.286881:0.484062:0.293957:0.484062:0.293957:0.466041:0.286881:0.466041:0.000000
⎥:@0.286881:0.453101:0.293957:0.453101:0.293957:0.435080:0.286881:0.435080:0.000000
⎥:@0.286881:0.466268:0.293957:0.466268:0.293957:0.448247:0.286881:0.448247:0.000000
⎥:@0.286881:0.479434:0.293957:0.479434:0.293957:0.461413:0.286881:0.461413:0.000000
⎡:@0.337667:0.449685:0.344743:0.449685:0.344743:0.431664:0.337667:0.431664:0.000000
⎣:@0.337667:0.474358:0.344743:0.474358:0.344743:0.456337:0.337667:0.456337:0.000000
⎢:@0.337667:0.462851:0.344743:0.462851:0.344743:0.444831:0.337667:0.444831:0.000000
⎤:@0.400856:0.449685:0.407932:0.449685:0.407932:0.431664:0.400856:0.431664:0.000000
⎦:@0.400856:0.474358:0.407932:0.474358:0.407932:0.456337:0.400856:0.456337:0.000000
⎥:@0.400856:0.462851:0.407932:0.462851:0.407932:0.444831:0.400856:0.444831:0.000000
 :@0.153820:0.576411:0.157634:0.576411:0.157634:0.559510:0.153820:0.559510:0.000000
d) :@0.153820:0.624357:0.173887:0.624357:0.173887:0.607456:0.153820:0.607456:0.000000:0.000000:0.000000
A=:@0.189819:0.623904:0.215360:0.623904:0.215360:0.607515:0.189819:0.607515:0.000000:0.000000
1:@0.240292:0.616394:0.249285:0.616394:0.249285:0.600005:0.240292:0.600005:0.000000
3:@0.276263:0.616394:0.285256:0.616394:0.285256:0.600005:0.276263:0.600005:0.000000
4:@0.239500:0.634346:0.248492:0.634346:0.248492:0.617957:0.239500:0.617957:0.000000
5:@0.276245:0.634346:0.285237:0.634346:0.285237:0.617957:0.276245:0.617957:0.000000
B=:@0.315938:0.623890:0.339949:0.623890:0.339949:0.607501:0.315938:0.607501:0.000000:0.000000
5:@0.377965:0.596935:0.386958:0.596935:0.386958:0.580546:0.377965:0.580546:0.000000
7:@0.377394:0.616380:0.386386:0.616380:0.386386:0.599992:0.377394:0.599992:0.000000
3:@0.407283:0.596935:0.416276:0.596935:0.416276:0.580546:0.407283:0.580546:0.000000
7:@0.406712:0.616380:0.415705:0.616380:0.415705:0.599992:0.406712:0.599992:0.000000
4:@0.377762:0.634332:0.386755:0.634332:0.386755:0.617943:0.377762:0.617943:0.000000
7:@0.377394:0.653778:0.386386:0.653778:0.386386:0.637389:0.377394:0.637389:0.000000
1:@0.407855:0.634332:0.416847:0.634332:0.416847:0.617943:0.407855:0.617943:0.000000
7:@0.406712:0.653778:0.415705:0.653778:0.415705:0.637389:0.406712:0.637389:0.000000
−:@0.266312:0.616961:0.276429:0.616961:0.276429:0.598940:0.266312:0.598940:0.000000
−:@0.266312:0.634913:0.276429:0.634913:0.276429:0.616892:0.266312:0.616892:0.000000
⎡:@0.221551:0.614320:0.228628:0.614320:0.228628:0.596299:0.221551:0.596299:0.000000
⎣:@0.221551:0.638993:0.228628:0.638993:0.228628:0.620972:0.221551:0.620972:0.000000
⎢:@0.221551:0.627486:0.228628:0.627486:0.228628:0.609465:0.221551:0.609465:0.000000
⎤:@0.295372:0.614320:0.302449:0.614320:0.302449:0.596299:0.295372:0.596299:0.000000
⎦:@0.295372:0.638993:0.302449:0.638993:0.302449:0.620972:0.295372:0.620972:0.000000
⎥:@0.295372:0.627486:0.302449:0.627486:0.302449:0.609465:0.295372:0.609465:0.000000
−:@0.364531:0.606464:0.374648:0.606464:0.374648:0.588443:0.364531:0.588443:0.000000
−:@0.363739:0.643875:0.373856:0.643875:0.373856:0.625854:0.363739:0.625854:0.000000
⎡:@0.346159:0.594874:0.353235:0.594874:0.353235:0.576853:0.346159:0.576853:0.000000
⎣:@0.346139:0.658485:0.353215:0.658485:0.353215:0.640464:0.346139:0.640464:0.000000
⎢:@0.346139:0.608075:0.353215:0.608075:0.353215:0.590054:0.346139:0.590054:0.000000
⎢:@0.346139:0.621241:0.353215:0.621241:0.353215:0.603220:0.346139:0.603220:0.000000
⎢:@0.346139:0.634408:0.353215:0.634408:0.353215:0.616387:0.346139:0.616387:0.000000
⎢:@0.346139:0.647574:0.353215:0.647574:0.353215:0.629553:0.346139:0.629553:0.000000
⎤:@0.428068:0.594922:0.435144:0.594922:0.435144:0.576901:0.428068:0.576901:0.000000
⎦:@0.428068:0.658485:0.435144:0.658485:0.435144:0.640464:0.428068:0.640464:0.000000
⎥:@0.428068:0.608075:0.435144:0.608075:0.435144:0.590054:0.428068:0.590054:0.000000
⎥:@0.428068:0.621241:0.435144:0.621241:0.435144:0.603220:0.428068:0.603220:0.000000
⎥:@0.428068:0.634408:0.435144:0.634408:0.435144:0.616387:0.428068:0.616387:0.000000
⎥:@0.428068:0.647574:0.435144:0.647574:0.435144:0.629553:0.428068:0.629553:0.000000
 :@0.153820:0.750175:0.157634:0.750175:0.157634:0.733274:0.153820:0.733274:0.000000
b) :@0.546280:0.178411:0.566311:0.178411:0.566311:0.161510:0.546280:0.161510:0.000000:0.000000:0.000000
A:@0.579523:0.178411:0.589419:0.178411:0.589419:0.162050:0.579523:0.162050:0.000000
 = :@0.589419:0.178411:0.608473:0.178411:0.608473:0.162022:0.589419:0.162022:0.000000:0.000000:0.000000
 6:@0.614472:0.169614:0.627500:0.169614:0.627500:0.153225:0.614472:0.153225:0.000000:0.000000
  1:@0.646831:0.169614:0.663895:0.169614:0.663895:0.153225:0.646831:0.153225:0.000000:0.000000:0.000000
 3:@0.614472:0.188160:0.627500:0.188160:0.627500:0.171771:0.614472:0.171771:0.000000:0.000000
  3 :@0.646831:0.188160:0.667931:0.188160:0.667931:0.171771:0.646831:0.171771:0.000000:0.000000:0.000000:0.000000
 :@0.674214:0.178410:0.678250:0.178410:0.678250:0.162021:0.674214:0.162021:0.000000
 :@0.546290:0.289343:0.550104:0.289343:0.550104:0.272442:0.546290:0.272442:0.000000
c) :@0.546280:0.322499:0.563915:0.322499:0.563915:0.305598:0.546280:0.305598:0.000000:0.000000:0.000000
A:@0.579523:0.322499:0.589419:0.322499:0.589419:0.306138:0.579523:0.306138:0.000000
 = :@0.589419:0.322499:0.608473:0.322499:0.608473:0.306110:0.589419:0.306110:0.000000:0.000000:0.000000
–1   2:@0.614472:0.313702:0.663895:0.313702:0.663895:0.297313:0.614472:0.297313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  4   3 :@0.614472:0.332248:0.667931:0.332248:0.667931:0.315859:0.614472:0.315859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.674214:0.322498:0.678250:0.322498:0.678250:0.306109:0.674214:0.306109:0.000000
 :@0.546290:0.433431:0.550104:0.433431:0.550104:0.416530:0.546290:0.416530:0.000000
d) :@0.546280:0.466586:0.566347:0.466586:0.566347:0.449685:0.546280:0.449685:0.000000:0.000000:0.000000
A:@0.579523:0.466586:0.589419:0.466586:0.589419:0.450224:0.579523:0.450224:0.000000
 = :@0.589419:0.466586:0.608473:0.466586:0.608473:0.450197:0.589419:0.450197:0.000000:0.000000:0.000000
 3:@0.614472:0.457788:0.627500:0.457788:0.627500:0.441399:0.614472:0.441399:0.000000:0.000000
  2:@0.646831:0.457788:0.663895:0.457788:0.663895:0.441399:0.646831:0.441399:0.000000:0.000000:0.000000
 2:@0.614472:0.476335:0.627500:0.476335:0.627500:0.459946:0.614472:0.459946:0.000000:0.000000
  5 :@0.646831:0.476335:0.667931:0.476335:0.667931:0.459946:0.646831:0.459946:0.000000:0.000000:0.000000:0.000000
 :@0.674214:0.466584:0.678250:0.466584:0.678250:0.450195:0.674214:0.450195:0.000000
 :@0.546290:0.577517:0.550104:0.577517:0.550104:0.560617:0.546290:0.560617:0.000000
a) :@0.153398:0.229940:0.172120:0.229940:0.172120:0.213040:0.153398:0.213040:0.000000:0.000000:0.000000
A:@0.186641:0.229940:0.196537:0.229940:0.196537:0.213579:0.186641:0.213579:0.000000
 = :@0.196537:0.229940:0.215591:0.229940:0.215591:0.213551:0.196537:0.213551:0.000000:0.000000:0.000000
 1  –2:@0.221590:0.221143:0.273593:0.221143:0.273593:0.204754:0.221590:0.204754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0:@0.221590:0.239689:0.234618:0.239689:0.234618:0.223300:0.221590:0.223300:0.000000:0.000000
  1 :@0.253949:0.239689:0.275048:0.239689:0.275048:0.223300:0.253949:0.223300:0.000000:0.000000:0.000000:0.000000
 ,     = :@0.281332:0.229939:0.328581:0.229939:0.328581:0.213550:0.281332:0.213550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.300681:0.229939:0.309527:0.229939:0.309527:0.213578:0.300681:0.213578:0.000000
 1:@0.334576:0.221143:0.347605:0.221143:0.347605:0.204754:0.334576:0.204754:0.000000:0.000000
  2:@0.366935:0.221143:0.383999:0.221143:0.383999:0.204754:0.366935:0.204754:0.000000:0.000000:0.000000
 0:@0.334576:0.239689:0.347605:0.239689:0.347605:0.223300:0.334576:0.223300:0.000000:0.000000
  1 :@0.366935:0.239689:0.388035:0.239689:0.388035:0.223300:0.366935:0.223300:0.000000:0.000000:0.000000:0.000000
 :@0.153414:0.311953:0.157229:0.311953:0.157229:0.295052:0.153414:0.295052:0.000000
1. :@0.120157:0.167914:0.138898:0.167914:0.138898:0.150778:0.120157:0.150778:0.000000:0.000000:0.000000
En cada caso, :@0.153401:0.167914:0.254642:0.167914:0.254642:0.151525:0.153401:0.151525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demuestra :@0.254421:0.167914:0.340919:0.167914:0.340919:0.151290:0.254421:0.151290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que B = A , para ello :@0.340718:0.167914:0.496336:0.167914:0.496336:0.151525:0.340718:0.151525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.411956:0.161867:0.422570:0.161867:0.422570:0.152312:0.411956:0.152312:0.000000:0.000000
efectúa:@0.153398:0.184510:0.210634:0.184510:0.210634:0.167886:0.153398:0.167886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el producto matricial AB y el resultado :@0.210634:0.184510:0.496389:0.184510:0.496389:0.168121:0.210634:0.168121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe ser la matriz identidad :@0.153398:0.201107:0.361810:0.201107:0.361810:0.184718:0.153398:0.184718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.:@0.361810:0.201107:0.368979:0.201107:0.368979:0.184745:0.361810:0.184745:0.000000:0.000000
b) :@0.153269:0.338276:0.173299:0.338276:0.173299:0.321375:0.153269:0.321375:0.000000:0.000000:0.000000
A:@0.186512:0.338276:0.196408:0.338276:0.196408:0.321914:0.186512:0.321914:0.000000
 = :@0.196408:0.338276:0.215462:0.338276:0.215462:0.321887:0.196408:0.321887:0.000000:0.000000:0.000000
 1:@0.221466:0.329482:0.234494:0.329482:0.234494:0.313093:0.221466:0.313093:0.000000:0.000000
  0:@0.253825:0.329482:0.270889:0.329482:0.270889:0.313093:0.253825:0.313093:0.000000:0.000000:0.000000
–3   1 :@0.221466:0.348028:0.274924:0.348028:0.274924:0.331640:0.221466:0.331640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ,      = :@0.281208:0.338278:0.332492:0.338278:0.332492:0.321889:0.281208:0.321889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.304593:0.338278:0.313438:0.338278:0.313438:0.321917:0.304593:0.321917:0.000000
 1:@0.338488:0.329482:0.351516:0.329482:0.351516:0.313093:0.338488:0.313093:0.000000:0.000000
  0:@0.370847:0.329482:0.387911:0.329482:0.387911:0.313093:0.370847:0.313093:0.000000:0.000000:0.000000
 3:@0.338488:0.348028:0.351516:0.348028:0.351516:0.331640:0.338488:0.331640:0.000000:0.000000
  1 :@0.370847:0.348028:0.391947:0.348028:0.391947:0.331640:0.370847:0.331640:0.000000:0.000000:0.000000:0.000000
 :@0.153290:0.420292:0.157105:0.420292:0.157105:0.403391:0.153290:0.403391:0.000000
Taller:@0.180793:0.130781:0.241688:0.130781:0.241688:0.096834:0.180793:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.2.2. Opera con matrices de hasta tercer orden, calcula el determinante, la matriz inversa y las aplica en sistemas de ecuaciones. :@0.261814:0.113525:0.882726:0.113525:0.882726:0.103096:0.261814:0.103096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(I.3.):@0.261814:0.124087:0.280307:0.124087:0.280307:0.113657:0.261814:0.113657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.120578:0.775147:0.139319:0.775147:0.139319:0.758012:0.120578:0.758012:0.000000:0.000000:0.000000
Encuentra:@0.153821:0.775147:0.231826:0.775147:0.231826:0.758523:0.153821:0.758523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la matriz inversa de   usando un  :@0.231826:0.775147:0.497902:0.775147:0.497902:0.758759:0.231826:0.758759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.395518:0.775147:0.405414:0.775147:0.405414:0.758786:0.395518:0.758786:0.000000
sistema de ecuaciones.:@0.153821:0.791744:0.322302:0.791744:0.322302:0.775355:0.153821:0.775355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153821:0.821327:0.172544:0.821327:0.172544:0.804426:0.153821:0.804426:0.000000:0.000000:0.000000
A:@0.187065:0.821327:0.196960:0.821327:0.196960:0.804966:0.187065:0.804966:0.000000
 = :@0.196960:0.821327:0.216015:0.821327:0.216015:0.804938:0.196960:0.804938:0.000000:0.000000:0.000000
 2:@0.222010:0.812532:0.235039:0.812532:0.235039:0.796143:0.222010:0.796143:0.000000:0.000000
  1:@0.254369:0.812532:0.271433:0.812532:0.271433:0.796143:0.254369:0.796143:0.000000:0.000000:0.000000
 3:@0.222010:0.831078:0.235039:0.831078:0.235039:0.814690:0.222010:0.814690:0.000000:0.000000
  0 :@0.254369:0.831078:0.275469:0.831078:0.275469:0.814690:0.254369:0.814690:0.000000:0.000000:0.000000:0.000000
 :@0.281753:0.821328:0.285788:0.821328:0.285788:0.804939:0.281753:0.804939:0.000000
 :@0.153828:0.925138:0.157643:0.925138:0.157643:0.908238:0.153828:0.908238:0.000000
A   B:@0.193630:0.289961:0.223612:0.289961:0.223612:0.273600:0.193630:0.273600:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.206843:0.290639:0.211450:0.290639:0.211450:0.275066:0.206843:0.275066:0.000000
 = :@0.223612:0.289961:0.242666:0.289961:0.242666:0.273572:0.223612:0.273572:0.000000:0.000000:0.000000
 1    0:@0.247002:0.283035:0.299428:0.283035:0.299428:0.266646:0.247002:0.266646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0    1:@0.247002:0.299617:0.299428:0.299617:0.299428:0.283228:0.247002:0.283228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  B = A:@0.308402:0.289964:0.358820:0.289964:0.358820:0.273575:0.308402:0.273575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.358822:0.283914:0.369436:0.283914:0.369436:0.274359:0.358822:0.274359:0.000000:0.000000
A   B:@0.193915:0.398300:0.223897:0.398300:0.223897:0.381939:0.193915:0.381939:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.207127:0.398978:0.211734:0.398978:0.211734:0.383405:0.207127:0.383405:0.000000
 = :@0.223897:0.398300:0.242951:0.398300:0.242951:0.381911:0.223897:0.381911:0.000000:0.000000:0.000000
 1    0:@0.247288:0.391374:0.299715:0.391374:0.299715:0.374985:0.247288:0.374985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0    1:@0.247288:0.407956:0.299715:0.407956:0.299715:0.391568:0.247288:0.391568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  B = A:@0.308689:0.398303:0.359107:0.398303:0.359107:0.381914:0.308689:0.381914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.359107:0.392253:0.369721:0.392253:0.369721:0.382698:0.359107:0.382698:0.000000:0.000000
A   B:@0.196083:0.534118:0.226064:0.534118:0.226064:0.517757:0.196083:0.517757:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.209295:0.534795:0.213902:0.534795:0.213902:0.519223:0.209295:0.519223:0.000000
 = :@0.226064:0.534118:0.245119:0.534118:0.245119:0.517729:0.226064:0.517729:0.000000:0.000000:0.000000
 1    0:@0.249454:0.527191:0.301881:0.527191:0.301881:0.510802:0.249454:0.510802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0    1:@0.249454:0.543774:0.301881:0.543774:0.301881:0.527385:0.249454:0.527385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,    = :@0.310855:0.534120:0.350032:0.534120:0.350032:0.517731:0.310855:0.517731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.322133:0.534120:0.330978:0.534120:0.330978:0.517759:0.322133:0.517759:0.000000
A:@0.350032:0.534120:0.359928:0.534120:0.359928:0.517759:0.350032:0.517759:0.000000
–1:@0.359928:0.528071:0.370542:0.528071:0.370542:0.518516:0.359928:0.518516:0.000000:0.000000
A   B:@0.196083:0.710281:0.226064:0.710281:0.226064:0.693920:0.196083:0.693920:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.209295:0.710958:0.213902:0.710958:0.213902:0.695386:0.209295:0.695386:0.000000
 = :@0.226064:0.710281:0.245119:0.710281:0.245119:0.693892:0.226064:0.693892:0.000000:0.000000:0.000000
 1    0:@0.249454:0.703356:0.301881:0.703356:0.301881:0.686967:0.249454:0.686967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0    1:@0.249454:0.719938:0.301881:0.719938:0.301881:0.703549:0.249454:0.703549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,    = :@0.310855:0.710285:0.350032:0.710285:0.350032:0.693896:0.310855:0.693896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.322133:0.710285:0.330978:0.710285:0.330978:0.693923:0.322133:0.693923:0.000000
A:@0.350032:0.710285:0.359928:0.710285:0.359928:0.693923:0.350032:0.693923:0.000000
–1:@0.359928:0.704233:0.370542:0.704233:0.370542:0.694679:0.359928:0.694679:0.000000:0.000000
A:@0.596470:0.751474:0.606366:0.751474:0.606366:0.735112:0.596470:0.735112:0.000000
2:@0.606364:0.745426:0.611607:0.745426:0.611607:0.735872:0.606364:0.735872:0.000000
 = :@0.611607:0.751474:0.630662:0.751474:0.630662:0.735085:0.611607:0.735085:0.000000:0.000000:0.000000
A   A:@0.630662:0.751474:0.661694:0.751474:0.661694:0.735112:0.630662:0.735112:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.643874:0.752151:0.648481:0.752151:0.648481:0.736578:0.643874:0.736578:0.000000
 = :@0.661694:0.751474:0.680748:0.751474:0.680748:0.735085:0.661694:0.735085:0.000000:0.000000:0.000000
 1    6:@0.685083:0.744547:0.737510:0.744547:0.737510:0.728158:0.685083:0.728158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0    1:@0.685083:0.761130:0.737510:0.761130:0.737510:0.744741:0.685083:0.744741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.594622:0.872602:0.604518:0.872602:0.604518:0.856241:0.594622:0.856241:0.000000
3:@0.604519:0.866556:0.609762:0.866556:0.609762:0.857001:0.604519:0.857001:0.000000
 = :@0.609763:0.872603:0.628817:0.872603:0.628817:0.856214:0.609763:0.856214:0.000000:0.000000:0.000000
A    A:@0.628817:0.872603:0.665091:0.872603:0.665091:0.856242:0.628817:0.856242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.638711:0.866556:0.643954:0.866556:0.643954:0.857001:0.638711:0.857001:0.000000
⋅:@0.647272:0.873281:0.651878:0.873281:0.651878:0.857708:0.647272:0.857708:0.000000
 = :@0.665091:0.872603:0.684145:0.872603:0.684145:0.856214:0.665091:0.856214:0.000000:0.000000:0.000000
 1    9:@0.688481:0.865677:0.740907:0.865677:0.740907:0.849288:0.688481:0.849288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0    1:@0.688481:0.882259:0.740907:0.882259:0.740907:0.865871:0.688481:0.865871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A=:@0.216160:0.883088:0.249920:0.883088:0.249920:0.866699:0.216160:0.866699:0.000000:0.000000
0:@0.273323:0.865095:0.282316:0.865095:0.282316:0.848706:0.273323:0.848706:0.000000
1:@0.307764:0.856133:0.316757:0.856133:0.316757:0.839744:0.307764:0.839744:0.000000
3:@0.307193:0.875578:0.316186:0.875578:0.316186:0.859189:0.307193:0.859189:0.000000
1:@0.274318:0.902492:0.283311:0.902492:0.283311:0.886103:0.274318:0.886103:0.000000
2:@0.313053:0.893530:0.322046:0.893530:0.322046:0.877141:0.313053:0.877141:0.000000
3:@0.313256:0.912975:0.322248:0.912975:0.322248:0.896586:0.313256:0.896586:0.000000
1:@0.233541:0.875426:0.238753:0.875426:0.238753:0.865928:0.233541:0.865928:0.000000
−:@0.299765:0.903092:0.309882:0.903092:0.309882:0.885071:0.299765:0.885071:0.000000
⎡:@0.256110:0.854091:0.263186:0.854091:0.263186:0.836070:0.256110:0.836070:0.000000
⎣:@0.256105:0.917669:0.263181:0.917669:0.263181:0.899648:0.256105:0.899648:0.000000
⎢:@0.256105:0.867259:0.263181:0.867259:0.263181:0.849238:0.256105:0.849238:0.000000
⎢:@0.256105:0.880425:0.263181:0.880425:0.263181:0.862404:0.256105:0.862404:0.000000
⎢:@0.256105:0.893591:0.263181:0.893591:0.263181:0.875571:0.256105:0.875571:0.000000
⎢:@0.256105:0.906758:0.263181:0.906758:0.263181:0.888737:0.256105:0.888737:0.000000
⎤:@0.334054:0.854106:0.341130:0.854106:0.341130:0.836085:0.334054:0.836085:0.000000
⎦:@0.334055:0.917669:0.341132:0.917669:0.341132:0.899648:0.334055:0.899648:0.000000
⎥:@0.334055:0.867259:0.341132:0.867259:0.341132:0.849238:0.334055:0.849238:0.000000
⎥:@0.334055:0.880425:0.341132:0.880425:0.341132:0.862404:0.334055:0.862404:0.000000
⎥:@0.334055:0.893591:0.341132:0.893591:0.341132:0.875571:0.334055:0.875571:0.000000
⎥:@0.334055:0.906758:0.341132:0.906758:0.341132:0.888737:0.334055:0.888737:0.000000
−:@0.227782:0.875770:0.233645:0.875770:0.233645:0.865326:0.227782:0.865326:0.000000
A=:@0.599547:0.535444:0.633307:0.535444:0.633307:0.519055:0.599547:0.519055:0.000000:0.000000
5:@0.666974:0.508489:0.675967:0.508489:0.675967:0.492100:0.666974:0.492100:0.000000
11:@0.663160:0.527934:0.680942:0.527934:0.680942:0.511545:0.663160:0.511545:0.000000:0.000000
2:@0.718608:0.508489:0.727601:0.508489:0.727601:0.492100:0.718608:0.492100:0.000000
11:@0.714996:0.527934:0.732779:0.527934:0.732779:0.511545:0.714996:0.511545:0.000000:0.000000
2:@0.672852:0.545886:0.681845:0.545886:0.681845:0.529497:0.672852:0.529497:0.000000
11:@0.669241:0.565332:0.687023:0.565332:0.687023:0.548943:0.669241:0.548943:0.000000:0.000000
3:@0.712693:0.545886:0.721686:0.545886:0.721686:0.529497:0.712693:0.529497:0.000000
11:@0.708879:0.565332:0.726661:0.565332:0.726661:0.548943:0.708879:0.548943:0.000000:0.000000
1:@0.616928:0.527783:0.622140:0.527783:0.622140:0.518285:0.616928:0.518285:0.000000
−:@0.702836:0.518044:0.712953:0.518044:0.712953:0.500024:0.702836:0.500024:0.000000
−:@0.657080:0.555455:0.667197:0.555455:0.667197:0.537435:0.657080:0.537435:0.000000
⎡:@0.639500:0.506455:0.646576:0.506455:0.646576:0.488434:0.639500:0.488434:0.000000
⎣:@0.639492:0.570025:0.646568:0.570025:0.646568:0.552004:0.639492:0.552004:0.000000
⎢:@0.639492:0.519615:0.646568:0.519615:0.646568:0.501594:0.639492:0.501594:0.000000
⎢:@0.639492:0.532781:0.646568:0.532781:0.646568:0.514760:0.639492:0.514760:0.000000
⎢:@0.639492:0.545948:0.646568:0.545948:0.646568:0.527927:0.639492:0.527927:0.000000
⎢:@0.639492:0.559114:0.646568:0.559114:0.646568:0.541093:0.639492:0.541093:0.000000
⎤:@0.742042:0.506462:0.749118:0.506462:0.749118:0.488441:0.742042:0.488441:0.000000
⎦:@0.742047:0.570025:0.749123:0.570025:0.749123:0.552004:0.742047:0.552004:0.000000
⎥:@0.742047:0.519615:0.749123:0.519615:0.749123:0.501594:0.742047:0.501594:0.000000
⎥:@0.742047:0.532781:0.749123:0.532781:0.749123:0.514760:0.742047:0.514760:0.000000
⎥:@0.742047:0.545948:0.749123:0.545948:0.749123:0.527927:0.742047:0.527927:0.000000
⎥:@0.742047:0.559114:0.749123:0.559114:0.749123:0.541093:0.742047:0.541093:0.000000
−:@0.611168:0.528128:0.617032:0.528128:0.617032:0.517684:0.611168:0.517684:0.000000
A=:@0.593126:0.246643:0.626886:0.246643:0.626886:0.230255:0.593126:0.230255:0.000000:0.000000
1:@0.658471:0.219688:0.667463:0.219688:0.667463:0.203299:0.658471:0.203299:0.000000
5:@0.657899:0.239134:0.666892:0.239134:0.666892:0.222745:0.657899:0.222745:0.000000
1:@0.708778:0.219688:0.717771:0.219688:0.717771:0.203299:0.708778:0.203299:0.000000
15:@0.703231:0.239134:0.721014:0.239134:0.721014:0.222745:0.703231:0.222745:0.000000:0.000000
1:@0.664552:0.257085:0.673544:0.257085:0.673544:0.240696:0.664552:0.240696:0.000000
5:@0.663980:0.276531:0.672973:0.276531:0.672973:0.260142:0.663980:0.260142:0.000000
2:@0.701941:0.257085:0.710934:0.257085:0.710934:0.240696:0.701941:0.240696:0.000000
5:@0.702144:0.276531:0.711137:0.276531:0.711137:0.260142:0.702144:0.260142:0.000000
1:@0.610505:0.238982:0.615717:0.238982:0.615717:0.229484:0.610505:0.229484:0.000000
−:@0.691074:0.229244:0.701191:0.229244:0.701191:0.211223:0.691074:0.211223:0.000000
−:@0.650662:0.266655:0.660779:0.266655:0.660779:0.248634:0.650662:0.248634:0.000000
⎡:@0.633082:0.217654:0.640159:0.217654:0.640159:0.199633:0.633082:0.199633:0.000000
⎣:@0.633071:0.281224:0.640147:0.281224:0.640147:0.263203:0.633071:0.263203:0.000000
⎢:@0.633071:0.230814:0.640147:0.230814:0.640147:0.212793:0.633071:0.212793:0.000000
⎢:@0.633071:0.243981:0.640147:0.243981:0.640147:0.225960:0.633071:0.225960:0.000000
⎢:@0.633071:0.257147:0.640147:0.257147:0.640147:0.239126:0.633071:0.239126:0.000000
⎢:@0.633071:0.270313:0.640147:0.270313:0.640147:0.252293:0.633071:0.252293:0.000000
⎤:@0.732598:0.217661:0.739674:0.217661:0.739674:0.199641:0.732598:0.199641:0.000000
⎦:@0.732590:0.281224:0.739666:0.281224:0.739666:0.263203:0.732590:0.263203:0.000000
⎥:@0.732590:0.230814:0.739666:0.230814:0.739666:0.212793:0.732590:0.212793:0.000000
⎥:@0.732590:0.243981:0.739666:0.243981:0.739666:0.225960:0.732590:0.225960:0.000000
⎥:@0.732590:0.257147:0.739666:0.257147:0.739666:0.239126:0.732590:0.239126:0.000000
⎥:@0.732590:0.270313:0.739666:0.270313:0.739666:0.252293:0.732590:0.252293:0.000000
−:@0.604747:0.239327:0.610610:0.239327:0.610610:0.228883:0.604747:0.228883:0.000000
A=:@0.594356:0.390677:0.628115:0.390677:0.628115:0.374288:0.594356:0.374288:0.000000:0.000000
3:@0.667864:0.363722:0.676856:0.363722:0.676856:0.347333:0.667864:0.347333:0.000000
11 11:@0.664049:0.383168:0.715389:0.383168:0.715389:0.366779:0.664049:0.366779:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.701218:0.363722:0.710210:0.363722:0.710210:0.347333:0.701218:0.347333:0.000000
4:@0.661598:0.401119:0.670591:0.401119:0.670591:0.384730:0.661598:0.384730:0.000000
11:@0.657986:0.420565:0.675769:0.420565:0.675769:0.404176:0.657986:0.404176:0.000000:0.000000
1:@0.702010:0.401119:0.711003:0.401119:0.711003:0.384730:0.702010:0.384730:0.000000
11:@0.697606:0.420565:0.715389:0.420565:0.715389:0.404176:0.697606:0.404176:0.000000:0.000000
1:@0.611736:0.383016:0.616948:0.383016:0.616948:0.373518:0.611736:0.373518:0.000000
−:@0.651890:0.373278:0.662007:0.373278:0.662007:0.355257:0.651890:0.355257:0.000000
⎡:@0.634310:0.361688:0.641386:0.361688:0.641386:0.343667:0.634310:0.343667:0.000000
⎣:@0.634300:0.425258:0.641376:0.425258:0.641376:0.407237:0.634300:0.407237:0.000000
⎢:@0.634300:0.374848:0.641376:0.374848:0.641376:0.356827:0.634300:0.356827:0.000000
⎢:@0.634300:0.388014:0.641376:0.388014:0.641376:0.369994:0.634300:0.369994:0.000000
⎢:@0.634300:0.401181:0.641376:0.401181:0.641376:0.383160:0.634300:0.383160:0.000000
⎢:@0.634300:0.414347:0.641376:0.414347:0.641376:0.396326:0.634300:0.396326:0.000000
⎤:@0.724651:0.361695:0.731727:0.361695:0.731727:0.343674:0.724651:0.343674:0.000000
⎦:@0.724659:0.425258:0.731735:0.425258:0.731735:0.407237:0.724659:0.407237:0.000000
⎥:@0.724659:0.374848:0.731735:0.374848:0.731735:0.356827:0.724659:0.356827:0.000000
⎥:@0.724659:0.388014:0.731735:0.388014:0.731735:0.369994:0.724659:0.369994:0.000000
⎥:@0.724659:0.401181:0.731735:0.401181:0.731735:0.383160:0.724659:0.383160:0.000000
⎥:@0.724659:0.414347:0.731735:0.414347:0.731735:0.396326:0.724659:0.396326:0.000000
−:@0.605977:0.383361:0.611840:0.383361:0.611840:0.372917:0.605977:0.372917:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000