6:@0.063510:0.510692:0.072963:0.510692:0.072963:0.494068:0.063510:0.494068:0.000000 Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000 Actividad resuelta:@0.115891:0.767805:0.273013:0.767805:0.273013:0.749368:0.115891:0.749368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.115891:0.787651:0.138428:0.787651:0.138428:0.770751:0.115891:0.770751:0.000000:0.000000:0.000000:0.000000 Dadas las matrices A y B, :@0.149134:0.787651:0.331842:0.787651:0.331842:0.771262:0.149134:0.771262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 efectuamos:@0.331842:0.787651:0.421861:0.787651:0.421861:0.771027:0.331842:0.771027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las siguientes operaciones: A + B y B – A.:@0.421861:0.787651:0.729195:0.787651:0.729195:0.771262:0.421861:0.771262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.115891:0.853663:0.148176:0.853663:0.148176:0.837274:0.115891:0.837274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.150484:0.827801:0.160380:0.827801:0.160380:0.811439:0.150484:0.811439:0.000000 A:@0.307635:0.827801:0.317531:0.827801:0.317531:0.811439:0.307635:0.811439:0.000000 B:@0.337470:0.827801:0.346315:0.827801:0.346315:0.811439:0.337470:0.811439:0.000000 a:@0.388735:0.816446:0.398004:0.816446:0.398004:0.800085:0.388735:0.800085:0.000000 b:@0.429239:0.816446:0.438508:0.816446:0.438508:0.800085:0.429239:0.800085:0.000000 a:@0.466131:0.816446:0.475400:0.816446:0.475400:0.800085:0.466131:0.800085:0.000000 b:@0.508220:0.816446:0.517489:0.816446:0.517489:0.800085:0.508220:0.800085:0.000000 a:@0.388053:0.839390:0.397322:0.839390:0.397322:0.823029:0.388053:0.823029:0.000000 b:@0.429239:0.839390:0.438508:0.839390:0.438508:0.823029:0.429239:0.823029:0.000000 a:@0.465449:0.839390:0.474719:0.839390:0.474719:0.823029:0.465449:0.823029:0.000000 b:@0.508220:0.839390:0.517489:0.839390:0.517489:0.823029:0.508220:0.823029:0.000000 ⎡:@0.183470:0.817788:0.190546:0.817788:0.190546:0.802215:0.183470:0.802215:0.000000 ⎣:@0.183470:0.843567:0.190546:0.843567:0.190546:0.827994:0.183470:0.827994:0.000000 ⎢:@0.183470:0.830954:0.190546:0.830954:0.190546:0.815381:0.183470:0.815381:0.000000 ⎤:@0.247027:0.817788:0.254103:0.817788:0.254103:0.802215:0.247027:0.802215:0.000000 ⎦:@0.247027:0.843567:0.254103:0.843567:0.254103:0.827994:0.247027:0.827994:0.000000 ⎥:@0.247027:0.830954:0.254103:0.830954:0.254103:0.815381:0.247027:0.815381:0.000000 +:@0.410517:0.817124:0.420633:0.817124:0.420633:0.801551:0.410517:0.801551:0.000000 +:@0.489516:0.817124:0.499633:0.817124:0.499633:0.801551:0.489516:0.801551:0.000000 +:@0.410517:0.840068:0.420633:0.840068:0.420633:0.824495:0.410517:0.824495:0.000000 +:@0.489516:0.840068:0.499633:0.840068:0.499633:0.824495:0.489516:0.824495:0.000000 ⎡:@0.370473:0.813348:0.377550:0.813348:0.377550:0.797775:0.370473:0.797775:0.000000 ⎣:@0.370465:0.848008:0.377541:0.848008:0.377541:0.832435:0.370465:0.832435:0.000000 ⎢:@0.370465:0.826516:0.377541:0.826516:0.377541:0.810943:0.370465:0.810943:0.000000 ⎢:@0.370465:0.839682:0.377541:0.839682:0.377541:0.824109:0.370465:0.824109:0.000000 ⎤:@0.539502:0.813363:0.546578:0.813363:0.546578:0.797790:0.539502:0.797790:0.000000 ⎦:@0.539508:0.848008:0.546585:0.848008:0.546585:0.832435:0.539508:0.832435:0.000000 ⎥ = ⎢:@0.539508:0.826516:0.588637:0.829379:0.588637:0.813806:0.539508:0.810943:0.000000:0.000000:0.000000:0.000000:0.000000 ⎥:@0.539508:0.839682:0.546585:0.839682:0.546585:0.824109:0.539508:0.824109:0.000000 +:@0.618452:0.819988:0.628569:0.819988:0.628569:0.804415:0.618452:0.804415:0.000000 + −:@0.679024:0.819988:0.715474:0.819988:0.715474:0.804415:0.679024:0.804415:0.000000:0.000000:0.000000 +:@0.616315:0.841632:0.626432:0.841632:0.626432:0.826059:0.616315:0.826059:0.000000 ⎡:@0.581560:0.816212:0.588637:0.816212:0.588637:0.800639:0.581560:0.800639:0.000000 ⎣:@0.581560:0.845131:0.588637:0.845131:0.588637:0.829558:0.581560:0.829558:0.000000 ⎢:@0.581560:0.842545:0.588637:0.842545:0.588637:0.826972:0.581560:0.826972:0.000000 ⎤:@0.738564:0.816226:0.745640:0.816226:0.745640:0.800653:0.738564:0.800653:0.000000 ⎦:@0.738564:0.845145:0.745640:0.845145:0.745640:0.829572:0.738564:0.829572:0.000000 ⎥ = ⎢:@0.738564:0.829392:0.787673:0.830969:0.787673:0.815396:0.738564:0.813819:0.000000:0.000000:0.000000:0.000000:0.000000 ⎥:@0.738564:0.842559:0.745640:0.842559:0.745640:0.826986:0.738564:0.826986:0.000000 ⎡:@0.780597:0.817803:0.787673:0.817803:0.787673:0.802230:0.780597:0.802230:0.000000 ⎣:@0.780597:0.843582:0.787673:0.843582:0.787673:0.828009:0.780597:0.828009:0.000000 ⎤:@0.843786:0.817803:0.850862:0.817803:0.850862:0.802230:0.843786:0.802230:0.000000 ⎦:@0.843786:0.843582:0.850862:0.843582:0.850862:0.828009:0.843786:0.828009:0.000000 ⎥:@0.843786:0.830969:0.850862:0.830969:0.850862:0.815396:0.843786:0.815396:0.000000 = :@0.160765:0.828604:0.180372:0.828604:0.180372:0.810431:0.160765:0.810431:0.000000:0.000000:0.000000 + = :@0.317935:0.828604:0.367394:0.828604:0.367394:0.810431:0.317935:0.810431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.424667:0.817249:0.429274:0.817249:0.429274:0.799076:0.424667:0.799076:0.000000 :@0.503648:0.817249:0.508255:0.817249:0.508255:0.799076:0.503648:0.799076:0.000000 :@0.424667:0.840194:0.429274:0.840194:0.429274:0.822021:0.424667:0.822021:0.000000 :@0.503648:0.840194:0.508255:0.840194:0.508255:0.822021:0.503648:0.822021:0.000000 :@0.549165:0.828604:0.553771:0.828604:0.553771:0.810431:0.549165:0.810431:0.000000 :@0.573821:0.828604:0.578428:0.828604:0.578428:0.810431:0.573821:0.810431:0.000000 :@0.610049:0.820112:0.637212:0.820112:0.637212:0.801939:0.610049:0.801939:0.000000:0.000000:0.000000 ( ):@0.670603:0.820112:0.727857:0.820112:0.727857:0.801939:0.670603:0.801939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.607912:0.841757:0.635074:0.841757:0.635074:0.823584:0.607912:0.823584:0.000000:0.000000:0.000000 :@0.748220:0.828590:0.752827:0.828590:0.752827:0.810417:0.748220:0.810417:0.000000 :@0.772876:0.828590:0.777483:0.828590:0.777483:0.810417:0.772876:0.810417:0.000000 0 2:@0.200735:0.820887:0.236153:0.820887:0.236153:0.804498:0.200735:0.804498:0.000000:0.000000:0.000000 3 6:@0.201159:0.839392:0.236153:0.839392:0.236153:0.823003:0.201159:0.823003:0.000000:0.000000:0.000000 0:@0.600172:0.819310:0.609165:0.819310:0.609165:0.802921:0.600172:0.802921:0.000000 1 2:@0.636806:0.819310:0.670087:0.819310:0.670087:0.802921:0.636806:0.802921:0.000000:0.000000:0.000000 1:@0.715327:0.819310:0.724319:0.819310:0.724319:0.802921:0.715327:0.802921:0.000000 3:@0.598809:0.840955:0.607801:0.840955:0.607801:0.824566:0.598809:0.824566:0.000000 5 6 :@0.635811:0.840955:0.679403:0.841664:0.679403:0.825275:0.635811:0.824566:0.000000:0.000000:0.000000:0.000000:0.000000 1 1:@0.798841:0.820873:0.833890:0.820873:0.833890:0.804484:0.798841:0.804484:0.000000:0.000000:0.000000 8 9:@0.797845:0.839378:0.832895:0.839378:0.832895:0.822989:0.797845:0.822989:0.000000:0.000000:0.000000 11:@0.396954:0.819432:0.407249:0.819432:0.407249:0.809934:0.396954:0.809934:0.000000:0.000000 11:@0.437056:0.819432:0.447351:0.819432:0.447351:0.809934:0.437056:0.809934:0.000000:0.000000 12:@0.474381:0.819432:0.484676:0.819432:0.484676:0.809934:0.474381:0.809934:0.000000:0.000000 12:@0.516053:0.819432:0.526349:0.819432:0.526349:0.809934:0.516053:0.809934:0.000000:0.000000 21:@0.396954:0.842380:0.407249:0.842380:0.407249:0.832881:0.396954:0.832881:0.000000:0.000000 21:@0.437739:0.842380:0.448035:0.842380:0.448035:0.832881:0.437739:0.832881:0.000000:0.000000 22:@0.474381:0.842380:0.484676:0.842380:0.484676:0.832881:0.474381:0.832881:0.000000:0.000000 22:@0.516737:0.842380:0.527032:0.842380:0.527032:0.832881:0.516737:0.832881:0.000000:0.000000 + :@0.679403:0.842341:0.698733:0.842341:0.698733:0.826768:0.679403:0.826768:0.000000:0.000000:0.000000 3:@0.698733:0.841664:0.707726:0.841664:0.707726:0.825275:0.698733:0.825275:0.000000 :@0.331526:0.594627:0.336133:0.594627:0.336133:0.576454:0.331526:0.576454:0.000000 :@0.115891:0.918875:0.148176:0.918875:0.148176:0.902486:0.115891:0.902486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.150791:0.895326:0.159630:0.895326:0.159630:0.878975:0.150791:0.878975:0.000000 B:@0.311727:0.895326:0.320567:0.895326:0.320567:0.878975:0.311727:0.878975:0.000000 A:@0.340401:0.895326:0.350290:0.895326:0.350290:0.878975:0.340401:0.878975:0.000000 b:@0.391247:0.883978:0.400511:0.883978:0.400511:0.867627:0.391247:0.867627:0.000000 a:@0.430956:0.883978:0.440219:0.883978:0.440219:0.867627:0.430956:0.867627:0.000000 b:@0.467898:0.883978:0.477161:0.883978:0.477161:0.867627:0.467898:0.867627:0.000000 a:@0.509177:0.883978:0.518441:0.883978:0.518441:0.867627:0.509177:0.867627:0.000000 b:@0.390566:0.906908:0.399829:0.906908:0.399829:0.890557:0.390566:0.890557:0.000000 a:@0.430956:0.906908:0.440219:0.906908:0.440219:0.890557:0.430956:0.890557:0.000000 b:@0.467217:0.906908:0.476480:0.906908:0.476480:0.890557:0.467217:0.890557:0.000000 a:@0.509176:0.906908:0.518439:0.906908:0.518439:0.890557:0.509176:0.890557:0.000000 ⎡:@0.183755:0.885236:0.190827:0.885236:0.190827:0.867227:0.183755:0.867227:0.000000 ⎣:@0.183755:0.910999:0.190827:0.910999:0.190827:0.892990:0.183755:0.892990:0.000000 ⎢:@0.183755:0.898394:0.190827:0.898394:0.190827:0.880385:0.183755:0.880385:0.000000 ⎤:@0.252612:0.885236:0.259684:0.885236:0.259684:0.867227:0.252612:0.867227:0.000000 ⎦:@0.252612:0.910999:0.259684:0.910999:0.259684:0.892990:0.252612:0.892990:0.000000 ⎥:@0.252612:0.898394:0.259684:0.898394:0.259684:0.880385:0.252612:0.880385:0.000000 ⎡:@0.373366:0.880799:0.380437:0.880799:0.380437:0.862790:0.373366:0.862790:0.000000 ⎣:@0.373351:0.915436:0.380423:0.915436:0.380423:0.897426:0.373351:0.897426:0.000000 ⎢:@0.373351:0.893957:0.380423:0.893957:0.380423:0.875948:0.373351:0.875948:0.000000 ⎢:@0.373351:0.907115:0.380423:0.907115:0.380423:0.889106:0.373351:0.889106:0.000000 ⎤:@0.540826:0.880813:0.547898:0.880813:0.547898:0.862804:0.540826:0.862804:0.000000 ⎦:@0.540820:0.915436:0.547892:0.915436:0.547892:0.897426:0.540820:0.897426:0.000000 ⎥ = ⎢:@0.540820:0.893957:0.589898:0.898394:0.589898:0.880385:0.540820:0.875948:0.000000:0.000000:0.000000:0.000000:0.000000 ⎥:@0.540820:0.907115:0.547892:0.907115:0.547892:0.889106:0.540820:0.889106:0.000000 ⎡:@0.582827:0.885236:0.589898:0.885236:0.589898:0.867227:0.582827:0.867227:0.000000 ⎣:@0.582827:0.910999:0.589898:0.910999:0.589898:0.892990:0.582827:0.892990:0.000000 ⎤:@0.719270:0.885236:0.726342:0.885236:0.726342:0.867227:0.719270:0.867227:0.000000 ⎦:@0.719270:0.910999:0.726342:0.910999:0.726342:0.892990:0.719270:0.892990:0.000000 ⎥ = ⎢:@0.719270:0.898394:0.768349:0.898394:0.768349:0.880385:0.719270:0.880385:0.000000:0.000000:0.000000:0.000000:0.000000 ⎡:@0.761277:0.885236:0.768349:0.885236:0.768349:0.867227:0.761277:0.867227:0.000000 ⎣:@0.761277:0.910999:0.768349:0.910999:0.768349:0.892990:0.761277:0.892990:0.000000 ⎤:@0.833210:0.885236:0.840281:0.885236:0.840281:0.867227:0.833210:0.867227:0.000000 ⎦:@0.833210:0.910999:0.840281:0.910999:0.840281:0.892990:0.833210:0.892990:0.000000 ⎥:@0.833210:0.898394:0.840281:0.898394:0.840281:0.880385:0.833210:0.880385:0.000000 = :@0.161029:0.896113:0.180610:0.896113:0.180610:0.877952:0.161029:0.877952:0.000000:0.000000:0.000000 – = :@0.321965:0.896113:0.370204:0.896113:0.370204:0.877952:0.321965:0.877952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 – :@0.412940:0.884766:0.430932:0.884766:0.430932:0.866605:0.412940:0.866605:0.000000:0.000000 – :@0.491151:0.884766:0.509143:0.884766:0.509143:0.866605:0.491151:0.866605:0.000000:0.000000 – :@0.412940:0.907696:0.430932:0.907696:0.430932:0.889534:0.412940:0.889534:0.000000:0.000000 – :@0.491151:0.907696:0.509143:0.907696:0.509143:0.889534:0.491151:0.889534:0.000000:0.000000 :@0.550433:0.896113:0.530397:0.896113:0.530397:0.877952:0.550433:0.877952:0.000000 :@0.575074:0.896113:0.555037:0.896113:0.555037:0.877952:0.575074:0.877952:0.000000 –:@0.607044:0.889203:0.625036:0.889203:0.625036:0.871041:0.607044:0.871041:0.000000:0.000000 – :@0.672227:0.889203:0.699004:0.889203:0.699004:0.871041:0.672227:0.871041:0.000000:0.000000:0.000000 –:@0.609143:0.907696:0.627136:0.907696:0.627136:0.889534:0.609143:0.889534:0.000000:0.000000 – :@0.668258:0.907696:0.695035:0.907696:0.695035:0.889534:0.668258:0.889534:0.000000:0.000000:0.000000 :@0.728902:0.896113:0.708865:0.896113:0.708865:0.877952:0.728902:0.877952:0.000000 :@0.753542:0.896113:0.733506:0.896113:0.733506:0.877952:0.753542:0.877952:0.000000 –:@0.804923:0.889203:0.814131:0.889203:0.814131:0.871041:0.804923:0.871041:0.000000 –:@0.804923:0.907696:0.814131:0.907696:0.814131:0.889534:0.804923:0.889534:0.000000 1 –1:@0.201544:0.888415:0.244799:0.888415:0.244799:0.872036:0.201544:0.872036:0.000000:0.000000:0.000000:0.000000 5:@0.200973:0.906908:0.209960:0.906908:0.209960:0.890530:0.200973:0.890530:0.000000 3:@0.229904:0.906908:0.238891:0.906908:0.238891:0.890530:0.229904:0.890530:0.000000 1:@0.600267:0.888415:0.609254:0.888415:0.609254:0.872036:0.600267:0.872036:0.000000 0:@0.628519:0.888415:0.637505:0.888415:0.637505:0.872036:0.628519:0.872036:0.000000 –1:@0.656247:0.888415:0.674442:0.888415:0.674442:0.872036:0.656247:0.872036:0.000000:0.000000 2:@0.699775:0.888415:0.708762:0.888415:0.708762:0.872036:0.699775:0.872036:0.000000 5:@0.600064:0.906908:0.609051:0.906908:0.609051:0.890530:0.600064:0.890530:0.000000 3:@0.630618:0.906908:0.639605:0.906908:0.639605:0.890530:0.630618:0.890530:0.000000 3:@0.659181:0.906908:0.668168:0.906908:0.668168:0.890530:0.659181:0.890530:0.000000 6:@0.696169:0.906908:0.705156:0.906908:0.705156:0.890530:0.696169:0.890530:0.000000 1:@0.779306:0.888415:0.788293:0.888415:0.788293:0.872036:0.779306:0.872036:0.000000 3:@0.814149:0.888415:0.823136:0.888415:0.823136:0.872036:0.814149:0.872036:0.000000 2:@0.778514:0.906908:0.787501:0.906908:0.787501:0.890530:0.778514:0.890530:0.000000 3:@0.814149:0.906908:0.823136:0.906908:0.823136:0.890530:0.814149:0.890530:0.000000 11:@0.399040:0.886961:0.409323:0.886961:0.409323:0.877469:0.399040:0.877469:0.000000:0.000000 11:@0.439168:0.886961:0.449451:0.886961:0.449451:0.877469:0.439168:0.877469:0.000000:0.000000 12:@0.475686:0.886961:0.485970:0.886961:0.485970:0.877469:0.475686:0.877469:0.000000:0.000000 12:@0.517385:0.886961:0.527668:0.886961:0.527668:0.877469:0.517385:0.877469:0.000000:0.000000 21:@0.399040:0.909895:0.409323:0.909895:0.409323:0.900403:0.399040:0.900403:0.000000:0.000000 21:@0.439848:0.909895:0.450131:0.909895:0.450131:0.900403:0.439848:0.900403:0.000000:0.000000 22:@0.475686:0.909895:0.485970:0.909895:0.485970:0.900403:0.475686:0.900403:0.000000:0.000000 22:@0.518064:0.909895:0.528348:0.909895:0.528348:0.900403:0.518064:0.900403:0.000000:0.000000 Una matriz de 2 × 2 con coeficientes en es un arreglo rectangular de números o letras dispuestos en :@0.115209:0.167757:0.883861:0.167757:0.883861:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.416571:0.166899:0.429876:0.166899:0.429876:0.154037:0.416571:0.154037:0.000000 filas y columnas, que se escribe de la siguiente forma::@0.115209:0.184353:0.505241:0.184353:0.505241:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.184007:0.218098:0.188614:0.218098:0.188614:0.199925:0.184007:0.199925:0.000000 x:@0.139143:0.220752:0.144483:0.220752:0.144483:0.210220:0.139143:0.210220:0.000000 M:@0.119459:0.217309:0.133354:0.217309:0.133354:0.200948:0.119459:0.200948:0.000000 a:@0.224939:0.208707:0.234208:0.208707:0.234208:0.192346:0.224939:0.192346:0.000000 a:@0.261592:0.208707:0.270861:0.208707:0.270861:0.192346:0.261592:0.192346:0.000000 a:@0.224571:0.226147:0.233840:0.226147:0.233840:0.209786:0.224571:0.209786:0.000000 a:@0.261223:0.226147:0.270492:0.226147:0.270492:0.209786:0.261223:0.209786:0.000000 :@0.161180:0.218181:0.174484:0.218181:0.174484:0.201432:0.161180:0.201432:0.000000 ⎡ ⎤ =:@0.154896:0.217669:0.203600:0.217904:0.203600:0.199883:0.154896:0.199648:0.000000:0.000000:0.000000:0.000000:0.000000 ⎣ ⎦:@0.154896:0.222496:0.181450:0.222496:0.181450:0.204475:0.154896:0.204475:0.000000:0.000000:0.000000 ⎡:@0.208665:0.208277:0.215742:0.208277:0.215742:0.190256:0.208665:0.190256:0.000000 ⎣:@0.208665:0.231929:0.215742:0.231929:0.215742:0.213908:0.208665:0.213908:0.000000 ⎢:@0.208665:0.221446:0.215742:0.221446:0.215742:0.203425:0.208665:0.203425:0.000000 ⎤:@0.291223:0.208277:0.298299:0.208277:0.298299:0.190256:0.291223:0.190256:0.000000 ⎦:@0.291223:0.231929:0.298299:0.231929:0.298299:0.213908:0.291223:0.213908:0.000000 ⎥:@0.291223:0.221446:0.298299:0.221446:0.298299:0.203425:0.291223:0.203425:0.000000 22:@0.133018:0.220295:0.150746:0.220295:0.150746:0.210797:0.133018:0.210797:0.000000:0.000000 11:@0.233161:0.211695:0.243451:0.211695:0.243451:0.202197:0.233161:0.202197:0.000000:0.000000 12:@0.269808:0.211695:0.280097:0.211695:0.280097:0.202197:0.269808:0.202197:0.000000:0.000000 21:@0.233471:0.229144:0.243761:0.229144:0.243761:0.219646:0.233471:0.219646:0.000000:0.000000 22:@0.270117:0.229144:0.280407:0.229144:0.280407:0.219646:0.270117:0.219646:0.000000:0.000000 , donde :@0.302454:0.219114:0.362399:0.219114:0.362399:0.202725:0.302454:0.202725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a a a a:@0.362399:0.219114:0.452654:0.219114:0.452654:0.202752:0.362399:0.202752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 11:@0.371666:0.222277:0.382152:0.222277:0.382152:0.212723:0.371666:0.212723:0.000000:0.000000 , :@0.382151:0.219114:0.389394:0.219114:0.389394:0.202725:0.382151:0.202725:0.000000:0.000000 12:@0.398663:0.222277:0.409148:0.222277:0.409148:0.212723:0.398663:0.212723:0.000000:0.000000 , :@0.409148:0.219114:0.416390:0.219114:0.416390:0.202725:0.409148:0.202725:0.000000:0.000000 21:@0.425657:0.222277:0.436143:0.222277:0.436143:0.212723:0.425657:0.212723:0.000000:0.000000 , :@0.436143:0.219114:0.443385:0.219114:0.443385:0.202725:0.436143:0.202725:0.000000:0.000000 22:@0.452654:0.222277:0.463139:0.222277:0.463139:0.212723:0.452654:0.212723:0.000000:0.000000 , :@0.463139:0.219114:0.470381:0.219114:0.470381:0.202725:0.463139:0.202725:0.000000:0.000000 ∈:@0.470381:0.219791:0.483520:0.219791:0.483520:0.204218:0.470381:0.204218:0.000000 :@0.483520:0.219114:0.486837:0.219114:0.486837:0.202752:0.483520:0.202752:0.000000 R:@0.486837:0.218256:0.500142:0.218256:0.500142:0.205394:0.486837:0.205394:0.000000 .:@0.499958:0.219114:0.503164:0.219114:0.503164:0.202725:0.499958:0.202725:0.000000 En forma general, se llama matriz a todo conjunto de números colocados en filas y columnas, de tal :@0.115207:0.249969:0.883934:0.249969:0.883934:0.233580:0.115207:0.233580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 manera que todas las filas (o columnas) tengan el mismo número de elementos.:@0.115207:0.266565:0.702562:0.266565:0.702562:0.250176:0.115207:0.250176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es un arreglo rectangular de la forma: :@0.115207:0.324722:0.396315:0.324722:0.396315:0.308333:0.115207:0.308333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ⎛:@0.398758:0.291048:0.404922:0.291048:0.404922:0.275351:0.398758:0.275351:0.000000 ⎝:@0.398758:0.350630:0.404922:0.350630:0.404922:0.334934:0.398758:0.334934:0.000000 ⎜:@0.398758:0.304468:0.404922:0.304468:0.404922:0.288771:0.398758:0.288771:0.000000 ⎜:@0.398758:0.315936:0.404922:0.315936:0.404922:0.300240:0.398758:0.300240:0.000000 ⎜:@0.398758:0.327405:0.404922:0.327405:0.404922:0.311708:0.398758:0.311708:0.000000 ⎜:@0.398758:0.338873:0.404922:0.338873:0.404922:0.323176:0.398758:0.323176:0.000000 ⎜:@0.398758:0.345583:0.404922:0.345583:0.404922:0.329886:0.398758:0.329886:0.000000 ⎞:@0.545721:0.291060:0.551884:0.291060:0.551884:0.275363:0.545721:0.275363:0.000000 ⎠:@0.545721:0.350642:0.551884:0.350642:0.551884:0.334946:0.545721:0.334946:0.000000 ⎟:@0.545721:0.304480:0.551884:0.304480:0.551884:0.288783:0.545721:0.288783:0.000000 ⎟:@0.545721:0.315948:0.551884:0.315948:0.551884:0.300252:0.545721:0.300252:0.000000 ⎟:@0.545721:0.327417:0.551884:0.327417:0.551884:0.311720:0.545721:0.311720:0.000000 ⎟:@0.545721:0.338885:0.551884:0.338885:0.551884:0.323188:0.545721:0.323188:0.000000 ⎟:@0.545721:0.345595:0.551884:0.345595:0.551884:0.329898:0.545721:0.329898:0.000000 →:@0.588040:0.300378:0.602442:0.300378:0.602442:0.286109:0.588040:0.286109:0.000000 →:@0.588040:0.314308:0.602442:0.314308:0.602442:0.300039:0.588040:0.300039:0.000000 →:@0.588040:0.342168:0.602442:0.342168:0.602442:0.327899:0.588040:0.327899:0.000000 ↓:@0.420105:0.373007:0.393066:0.373007:0.393066:0.358738:0.420105:0.358738:0.000000 ↓:@0.455942:0.373007:0.428903:0.373007:0.428903:0.358738:0.455942:0.358738:0.000000 ↓:@0.520008:0.373007:0.492970:0.373007:0.492970:0.358738:0.520008:0.358738:0.000000 a:@0.417499:0.293097:0.425573:0.293097:0.425573:0.278846:0.417499:0.278846:0.000000 a:@0.452611:0.293097:0.460684:0.293097:0.460684:0.278846:0.452611:0.278846:0.000000 a:@0.517773:0.293097:0.525846:0.293097:0.525846:0.278846:0.517773:0.278846:0.000000 a:@0.417226:0.311746:0.425300:0.311746:0.425300:0.297494:0.417226:0.297494:0.000000 a:@0.452298:0.311746:0.460371:0.311746:0.460371:0.297494:0.452298:0.297494:0.000000 a:@0.516774:0.311746:0.524848:0.311746:0.524848:0.297494:0.516774:0.297494:0.000000 a:@0.415766:0.346042:0.423839:0.346042:0.423839:0.331791:0.415766:0.331791:0.000000 a:@0.450564:0.346042:0.458638:0.346042:0.458638:0.331791:0.450564:0.331791:0.000000 a:@0.515680:0.346042:0.523753:0.346042:0.523753:0.331791:0.515680:0.331791:0.000000 mxn:@0.553750:0.354014:0.578564:0.354014:0.578564:0.341058:0.553750:0.341058:0.000000:0.000000:0.000000 Filas:@0.622695:0.319517:0.646596:0.319517:0.646596:0.306562:0.622695:0.306562:0.000000:0.000000:0.000000:0.000000:0.000000 Columnas:@0.439847:0.393296:0.495917:0.393296:0.495917:0.380341:0.439847:0.380341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.528715:0.294842:0.533515:0.294842:0.533515:0.286583:0.528715:0.286583:0.000000 n:@0.529673:0.313497:0.534473:0.313497:0.534473:0.305238:0.529673:0.305238:0.000000 m:@0.423516:0.347790:0.430901:0.347790:0.430901:0.339531:0.423516:0.339531:0.000000 m:@0.458308:0.347790:0.465694:0.347790:0.465694:0.339531:0.458308:0.339531:0.000000 mn:@0.523422:0.347790:0.535561:0.347790:0.535561:0.339531:0.523422:0.339531:0.000000:0.000000 11:@0.424650:0.294849:0.433613:0.294849:0.433613:0.286576:0.424650:0.286576:0.000000:0.000000 12:@0.459762:0.294849:0.468725:0.294849:0.468725:0.286576:0.459762:0.286576:0.000000:0.000000 1:@0.524920:0.294849:0.529459:0.294849:0.529459:0.286576:0.524920:0.286576:0.000000 21:@0.424967:0.313504:0.433929:0.313504:0.433929:0.305231:0.424967:0.305231:0.000000:0.000000 22:@0.460033:0.313504:0.468995:0.313504:0.468995:0.305231:0.460033:0.305231:0.000000:0.000000 2:@0.524510:0.313504:0.529050:0.313504:0.529050:0.305231:0.524510:0.305231:0.000000 1:@0.430799:0.347797:0.435339:0.347797:0.435339:0.339524:0.430799:0.339524:0.000000 2:@0.466185:0.347797:0.470724:0.347797:0.470724:0.339524:0.466185:0.339524:0.000000 :@0.485624:0.293856:0.501675:0.293856:0.501675:0.279268:0.485624:0.279268:0.000000 :@0.485624:0.312504:0.501675:0.312504:0.501675:0.297916:0.485624:0.297916:0.000000 :@0.422464:0.331153:0.395434:0.331153:0.395434:0.316564:0.422464:0.316564:0.000000 :@0.458259:0.331153:0.431229:0.331153:0.431229:0.316564:0.458259:0.316564:0.000000 :@0.490817:0.331153:0.463787:0.331153:0.463787:0.316564:0.490817:0.316564:0.000000 :@0.523192:0.331153:0.496162:0.331153:0.496162:0.316564:0.523192:0.316564:0.000000 :@0.485624:0.346789:0.501675:0.346789:0.501675:0.332201:0.485624:0.332201:0.000000 donde los son escalares.:@0.115209:0.395890:0.308749:0.395890:0.308749:0.379501:0.115209:0.379501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.188496:0.395890:0.201082:0.395890:0.201082:0.379529:0.188496:0.379529:0.000000:0.000000 ij:@0.201080:0.399054:0.205409:0.399054:0.205409:0.389515:0.201080:0.389515:0.000000:0.000000 Algunas de las operaciones con matrices son::@0.115205:0.419609:0.447671:0.419609:0.447671:0.403220:0.115205:0.403220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El conjunto de matrices M ( ):@0.115891:0.141978:0.582505:0.141978:0.582505:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2x2:@0.501405:0.148223:0.524634:0.148223:0.524634:0.129223:0.501405:0.129223:0.000000:0.000000:0.000000 :@0.524867:0.151566:0.530405:0.151566:0.530405:0.127816:0.524867:0.127816:0.000000 R:@0.538731:0.141940:0.575017:0.141940:0.575017:0.106862:0.538731:0.106862:0.000000 M.5.1.14. Reconocer el conjunto de matrices M:@0.125388:0.064786:0.342773:0.064786:0.342773:0.054357:0.125388:0.054357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2×2:@0.342773:0.066800:0.353520:0.066800:0.353520:0.060719:0.342773:0.060719:0.000000:0.000000:0.000000 [ ]:@0.353520:0.065217:0.369679:0.065217:0.369679:0.055307:0.353520:0.055307:0.000000:0.000000:0.000000 R:@0.357425:0.064241:0.365892:0.064241:0.365892:0.056056:0.357425:0.056056:0.000000 y sus elementos así, como las matrices especiales, nula e identidad. :@0.369679:0.064786:0.686320:0.064786:0.686320:0.054357:0.369679:0.054357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M.5.1.15. Realizar las operaciones de adición y producto entre matrices M:@0.125389:0.075348:0.479229:0.075348:0.479229:0.064918:0.125389:0.064918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2×2:@0.479222:0.077361:0.489969:0.077361:0.489969:0.071281:0.479222:0.071281:0.000000:0.000000:0.000000 [ ]:@0.489968:0.075779:0.506128:0.075779:0.506128:0.065869:0.489968:0.065869:0.000000:0.000000:0.000000 R:@0.493873:0.074802:0.502340:0.074802:0.502340:0.066617:0.493873:0.066617:0.000000 , producto de escalares por matrices M:@0.506128:0.075348:0.694763:0.075348:0.694763:0.064918:0.506128:0.064918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2×2:@0.694760:0.077361:0.705507:0.077361:0.705507:0.071281:0.694760:0.071281:0.000000:0.000000:0.000000 [ ]:@0.705506:0.075779:0.721666:0.075779:0.721666:0.065869:0.705506:0.065869:0.000000:0.000000:0.000000 R:@0.709411:0.074802:0.717878:0.074802:0.717878:0.066617:0.709411:0.066617:0.000000 , potencias de matrices M:@0.721666:0.075348:0.846203:0.075348:0.846203:0.064918:0.721666:0.064918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2×2:@0.846201:0.077361:0.856948:0.077361:0.856948:0.071281:0.846201:0.071281:0.000000:0.000000:0.000000 [ ]:@0.856948:0.075779:0.873107:0.075779:0.873107:0.065869:0.856948:0.065869:0.000000:0.000000:0.000000 R:@0.860853:0.074802:0.869320:0.074802:0.869320:0.066617:0.860853:0.066617:0.000000 , :@0.873107:0.075348:0.877716:0.075348:0.877716:0.064918:0.873107:0.064918:0.000000:0.000000 aplicando las propiedades de números reales.:@0.125391:0.085909:0.338015:0.085909:0.338015:0.075480:0.125391:0.075480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.059451:0.122645:0.071060:0.122645:0.071060:0.065614:0.059451:0.065614:0.000000 Operaciones con matrices:@0.404397:0.451514:0.590565:0.451514:0.590565:0.436150:0.404397:0.436150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Igualdad de matrices:@0.421769:0.471996:0.573176:0.471996:0.573176:0.456632:0.421769:0.456632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dos matrices A y B se dicen que son iguales A = B si tienen la :@0.122320:0.491861:0.530541:0.491861:0.530541:0.476962:0.122320:0.476962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 misma dimensión y los elementos que ocupan el mismo lugar :@0.122320:0.506949:0.544594:0.506949:0.544594:0.492050:0.122320:0.492050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 son iguales.:@0.122320:0.522036:0.199899:0.522036:0.199899:0.507137:0.122320:0.507137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es decir, dadas matrices A = :@0.122320:0.540682:0.310078:0.540682:0.310078:0.525783:0.122320:0.525783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.310078:0.541298:0.336412:0.541298:0.336412:0.527141:0.310078:0.527141:0.000000:0.000000:0.000000 aij:@0.315656:0.540682:0.330834:0.540682:0.330834:0.525808:0.315656:0.525808:0.000000:0.000000:0.000000 y B = :@0.336412:0.540682:0.376903:0.540682:0.376903:0.525783:0.336412:0.525783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.376903:0.541298:0.407426:0.541298:0.407426:0.527141:0.376903:0.527141:0.000000:0.000000:0.000000:0.000000 bij:@0.382482:0.540682:0.397659:0.540682:0.397659:0.525808:0.382482:0.525808:0.000000:0.000000:0.000000 de orden :@0.407426:0.540682:0.471889:0.540682:0.471889:0.525783:0.407426:0.525783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mxn:@0.471889:0.540682:0.500619:0.540682:0.500619:0.525808:0.471889:0.525808:0.000000:0.000000:0.000000 , se dice :@0.500619:0.540682:0.557125:0.540682:0.557125:0.525783:0.500619:0.525783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que A y B son iguales, lo que se escribe como A = B, :@0.122320:0.555770:0.470026:0.555770:0.470026:0.540871:0.122320:0.540871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si :@0.122320:0.574416:0.139408:0.574416:0.139408:0.559517:0.122320:0.559517:0.000000:0.000000:0.000000:0.000000 ∀=:@0.142101:0.575178:0.170146:0.575178:0.170146:0.561162:0.142101:0.561162:0.000000:0.000000 ∀=:@0.142101:0.593849:0.169815:0.593849:0.169815:0.579833:0.142101:0.579833:0.000000:0.000000 i:@0.153827:0.574568:0.157243:0.574568:0.157243:0.559843:0.153827:0.559843:0.000000 m:@0.201508:0.574568:0.214677:0.574568:0.214677:0.559843:0.201508:0.559843:0.000000 j:@0.153827:0.593239:0.157094:0.593239:0.157094:0.578513:0.153827:0.578513:0.000000 n:@0.201508:0.593239:0.210066:0.593239:0.210066:0.578513:0.201508:0.578513:0.000000 1,:@0.172054:0.574568:0.180728:0.574568:0.180728:0.559818:0.172054:0.559818:0.000000:0.000000 ,:@0.197395:0.574568:0.200281:0.574568:0.200281:0.559818:0.197395:0.559818:0.000000 1,:@0.171722:0.593239:0.180396:0.593239:0.180396:0.578489:0.171722:0.578489:0.000000:0.000000 ,:@0.197064:0.593239:0.199949:0.593239:0.199949:0.578489:0.197064:0.578489:0.000000 :@0.180529:0.575352:0.197113:0.575352:0.197113:0.560278:0.180529:0.560278:0.000000 :@0.180197:0.594023:0.196782:0.594023:0.196782:0.578949:0.180197:0.578949:0.000000 y :@0.217817:0.574424:0.239863:0.574424:0.239863:0.559525:0.217817:0.559525:0.000000:0.000000:0.000000:0.000000:0.000000 ∀=:@0.242549:0.557575:0.270594:0.557575:0.270594:0.543560:0.242549:0.543560:0.000000:0.000000 ∀=:@0.242549:0.576246:0.270262:0.576246:0.270262:0.562231:0.242549:0.562231:0.000000:0.000000 i:@0.254274:0.556965:0.257691:0.556965:0.257691:0.542240:0.254274:0.542240:0.000000 m:@0.301956:0.556965:0.315124:0.556965:0.315124:0.542240:0.301956:0.542240:0.000000 j:@0.254274:0.575636:0.257541:0.575636:0.257541:0.560911:0.254274:0.560911:0.000000 n:@0.301956:0.575636:0.310514:0.575636:0.310514:0.560911:0.301956:0.560911:0.000000 1,:@0.272501:0.556965:0.281175:0.556965:0.281175:0.542215:0.272501:0.542215:0.000000:0.000000 ,:@0.297843:0.556965:0.300728:0.556965:0.300728:0.542215:0.297843:0.542215:0.000000 1,:@0.272169:0.575636:0.280843:0.575636:0.280843:0.560886:0.272169:0.560886:0.000000:0.000000 ,:@0.297511:0.575636:0.300397:0.575636:0.300397:0.560886:0.297511:0.560886:0.000000 :@0.280976:0.557750:0.297561:0.557750:0.297561:0.542676:0.280976:0.542676:0.000000 :@0.280644:0.576421:0.297229:0.576421:0.297229:0.561347:0.280644:0.561347:0.000000 ,:@0.311689:0.574424:0.314604:0.574424:0.314604:0.559525:0.311689:0.559525:0.000000 aij = bij:@0.122337:0.593070:0.168708:0.593070:0.168708:0.578196:0.122337:0.578196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A = :@0.617957:0.505700:0.645079:0.505700:0.645079:0.490801:0.617957:0.490801:0.000000:0.000000:0.000000:0.000000 a:@0.651738:0.495067:0.661007:0.495067:0.661007:0.478706:0.651738:0.478706:0.000000 11:@0.661007:0.498231:0.671492:0.498231:0.671492:0.488676:0.661007:0.488676:0.000000:0.000000 a:@0.691322:0.495067:0.700591:0.495067:0.700591:0.478706:0.691322:0.478706:0.000000 12:@0.700591:0.498231:0.711077:0.498231:0.711077:0.488676:0.700591:0.488676:0.000000:0.000000 a:@0.651738:0.512492:0.661007:0.512492:0.661007:0.496131:0.651738:0.496131:0.000000 21:@0.661007:0.515656:0.671492:0.515656:0.671492:0.506101:0.661007:0.506101:0.000000:0.000000 a:@0.691322:0.512492:0.700591:0.512492:0.700591:0.496131:0.691322:0.496131:0.000000 22:@0.700591:0.515656:0.711077:0.515656:0.711077:0.506101:0.700591:0.506101:0.000000:0.000000 , B = :@0.717766:0.505703:0.761138:0.505703:0.761138:0.490804:0.717766:0.490804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.767808:0.495067:0.777078:0.495067:0.777078:0.478706:0.767808:0.478706:0.000000 11:@0.777078:0.498231:0.787563:0.498231:0.787563:0.488676:0.777078:0.488676:0.000000:0.000000 b:@0.807393:0.495067:0.816662:0.495067:0.816662:0.478706:0.807393:0.478706:0.000000 12:@0.816660:0.498231:0.827146:0.498231:0.827146:0.488676:0.816660:0.488676:0.000000:0.000000 b:@0.767808:0.512492:0.777078:0.512492:0.777078:0.496131:0.767808:0.496131:0.000000 21:@0.777078:0.515656:0.787563:0.515656:0.787563:0.506101:0.777078:0.506101:0.000000:0.000000 b:@0.807393:0.512492:0.816662:0.512492:0.816662:0.496131:0.807393:0.496131:0.000000 22:@0.816660:0.515656:0.827146:0.515656:0.827146:0.506101:0.816660:0.506101:0.000000:0.000000 A = B si y solo si:@0.579150:0.539442:0.771551:0.539442:0.771551:0.524543:0.579150:0.524543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.579150:0.558088:0.630462:0.558088:0.630462:0.543214:0.579150:0.543214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 11:@0.630124:0.560971:0.639461:0.560971:0.639461:0.552284:0.630124:0.552284:0.000000:0.000000 = :@0.639266:0.558095:0.655917:0.558095:0.655917:0.543196:0.639266:0.543196:0.000000:0.000000:0.000000 b:@0.655582:0.558095:0.664009:0.558095:0.664009:0.543221:0.655582:0.543221:0.000000 11:@0.663674:0.560971:0.673011:0.560971:0.673011:0.552284:0.663674:0.552284:0.000000:0.000000 , :@0.672816:0.558095:0.682398:0.558095:0.682398:0.543196:0.672816:0.543196:0.000000:0.000000:0.000000 a:@0.682063:0.558095:0.690489:0.558095:0.690489:0.543221:0.682063:0.543221:0.000000 12:@0.690153:0.560971:0.699490:0.560971:0.699490:0.552284:0.690153:0.552284:0.000000:0.000000 = :@0.699294:0.558095:0.715946:0.558095:0.715946:0.543196:0.699294:0.543196:0.000000:0.000000:0.000000 b:@0.715611:0.558095:0.724038:0.558095:0.724038:0.543221:0.715611:0.543221:0.000000 12:@0.723703:0.560971:0.733040:0.560971:0.733040:0.552284:0.723703:0.552284:0.000000:0.000000 , :@0.732844:0.558095:0.742427:0.558095:0.742427:0.543196:0.732844:0.543196:0.000000:0.000000:0.000000 a:@0.742092:0.558095:0.750518:0.558095:0.750518:0.543221:0.742092:0.543221:0.000000 21:@0.750182:0.560971:0.759519:0.560971:0.759519:0.552284:0.750182:0.552284:0.000000:0.000000 = :@0.759323:0.558095:0.775975:0.558095:0.775975:0.543196:0.759323:0.543196:0.000000:0.000000:0.000000 b:@0.775640:0.558095:0.784067:0.558095:0.784067:0.543221:0.775640:0.543221:0.000000 21:@0.783732:0.560971:0.793069:0.560971:0.793069:0.552284:0.783732:0.552284:0.000000:0.000000 , :@0.792873:0.558095:0.802456:0.558095:0.802456:0.543196:0.792873:0.543196:0.000000:0.000000:0.000000 a:@0.802121:0.558095:0.810547:0.558095:0.810547:0.543221:0.802121:0.543221:0.000000 22:@0.810210:0.560971:0.819547:0.560971:0.819547:0.552284:0.810210:0.552284:0.000000:0.000000 = :@0.819352:0.558095:0.836004:0.558095:0.836004:0.543196:0.819352:0.543196:0.000000:0.000000:0.000000 b:@0.835669:0.558095:0.844095:0.558095:0.844095:0.543221:0.835669:0.543221:0.000000 22:@0.843760:0.560971:0.853097:0.560971:0.853097:0.552284:0.843760:0.552284:0.000000:0.000000 Adición de matrices:@0.236958:0.618727:0.379319:0.618727:0.379319:0.603362:0.236958:0.603362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Resta de matrices:@0.626653:0.618727:0.753316:0.618727:0.753316:0.603362:0.626653:0.603362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A + B = :@0.198746:0.652988:0.251650:0.652988:0.251650:0.638089:0.198746:0.638089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.258335:0.642351:0.267604:0.642351:0.267604:0.625990:0.258335:0.625990:0.000000 11:@0.267604:0.645515:0.278089:0.645515:0.278089:0.635960:0.267604:0.635960:0.000000:0.000000 +:@0.284694:0.642691:0.294811:0.642691:0.294811:0.627118:0.284694:0.627118:0.000000 b:@0.303822:0.642345:0.313091:0.642345:0.313091:0.625984:0.303822:0.625984:0.000000 11:@0.313088:0.645515:0.323574:0.645515:0.323574:0.635960:0.313088:0.635960:0.000000:0.000000 a:@0.258335:0.659776:0.267604:0.659776:0.267604:0.643415:0.258335:0.643415:0.000000 21:@0.267604:0.662940:0.278089:0.662940:0.278089:0.653385:0.267604:0.653385:0.000000:0.000000 +:@0.284694:0.660117:0.294811:0.660117:0.294811:0.644544:0.284694:0.644544:0.000000 b:@0.303822:0.659771:0.313091:0.659771:0.313091:0.643410:0.303822:0.643410:0.000000 21:@0.313088:0.662940:0.323574:0.662940:0.323574:0.653385:0.313088:0.653385:0.000000:0.000000 a:@0.345509:0.642351:0.354778:0.642351:0.354778:0.625990:0.345509:0.625990:0.000000 12:@0.354778:0.645515:0.365264:0.645515:0.365264:0.635960:0.354778:0.635960:0.000000:0.000000 +:@0.371871:0.642691:0.381987:0.642691:0.381987:0.627118:0.371871:0.627118:0.000000 b:@0.392417:0.642345:0.401686:0.642345:0.401686:0.625984:0.392417:0.625984:0.000000 12:@0.401688:0.645515:0.412174:0.645515:0.412174:0.635960:0.401688:0.635960:0.000000:0.000000 a:@0.345509:0.659776:0.354778:0.659776:0.354778:0.643415:0.345509:0.643415:0.000000 22:@0.354778:0.662940:0.365264:0.662940:0.365264:0.653385:0.354778:0.653385:0.000000:0.000000 +:@0.371871:0.660117:0.381987:0.660117:0.381987:0.644544:0.371871:0.644544:0.000000 b:@0.392417:0.659771:0.401686:0.659771:0.401686:0.643410:0.392417:0.643410:0.000000 22:@0.401688:0.662940:0.412174:0.662940:0.412174:0.653385:0.401688:0.653385:0.000000:0.000000 A – B = A + –B = :@0.533875:0.651730:0.657608:0.651730:0.657608:0.636830:0.533875:0.636830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.612293:0.652346:0.617871:0.652346:0.617871:0.638188:0.612293:0.638188:0.000000 ):@0.634707:0.652346:0.640286:0.652346:0.640286:0.638188:0.634707:0.638188:0.000000 a:@0.664279:0.641094:0.673548:0.641094:0.673548:0.624733:0.664279:0.624733:0.000000 11:@0.672626:0.644258:0.682575:0.644258:0.682575:0.634703:0.672626:0.634703:0.000000:0.000000 + (:@0.688099:0.641433:0.707485:0.641765:0.707485:0.626192:0.688099:0.625861:0.000000:0.000000:0.000000 –b:@0.706563:0.641088:0.724125:0.641088:0.724125:0.624726:0.706563:0.624726:0.000000:0.000000 11:@0.723195:0.644258:0.733143:0.644258:0.733143:0.634703:0.723195:0.634703:0.000000:0.000000 ):@0.732607:0.641772:0.738743:0.641772:0.738743:0.626199:0.732607:0.626199:0.000000 a:@0.664277:0.658520:0.673546:0.658520:0.673546:0.642159:0.664277:0.642159:0.000000 21:@0.672626:0.661683:0.682575:0.661683:0.682575:0.652128:0.672626:0.652128:0.000000:0.000000 + (:@0.688099:0.658860:0.707485:0.659192:0.707485:0.643619:0.688099:0.643287:0.000000:0.000000:0.000000 –b:@0.706563:0.658514:0.724125:0.658514:0.724125:0.642153:0.706563:0.642153:0.000000:0.000000 21:@0.723195:0.661683:0.733143:0.661683:0.733143:0.652128:0.723195:0.652128:0.000000:0.000000 ):@0.732607:0.659197:0.738743:0.659197:0.738743:0.643624:0.732607:0.643624:0.000000 a:@0.756083:0.641452:0.765353:0.641452:0.765353:0.625091:0.756083:0.625091:0.000000 12:@0.764423:0.644622:0.774371:0.644622:0.774371:0.635068:0.764423:0.635068:0.000000:0.000000 + (:@0.781411:0.641799:0.803893:0.642131:0.803893:0.626558:0.781411:0.626226:0.000000:0.000000:0.000000 –b:@0.802972:0.641454:0.820533:0.641454:0.820533:0.625092:0.802972:0.625092:0.000000:0.000000 12:@0.819607:0.644622:0.829555:0.644622:0.829555:0.635068:0.819607:0.635068:0.000000:0.000000 ):@0.829017:0.642136:0.835153:0.642136:0.835153:0.626563:0.829017:0.626563:0.000000 a:@0.756080:0.658885:0.765349:0.658885:0.765349:0.642524:0.756080:0.642524:0.000000 22:@0.764424:0.662049:0.774373:0.662049:0.774373:0.652494:0.764424:0.652494:0.000000:0.000000 + (:@0.781411:0.659224:0.803893:0.659556:0.803893:0.643983:0.781411:0.643651:0.000000:0.000000:0.000000 –b:@0.802972:0.658879:0.820533:0.658879:0.820533:0.642517:0.802972:0.642517:0.000000:0.000000 22:@0.819607:0.662049:0.829555:0.662049:0.829555:0.652494:0.819607:0.652494:0.000000:0.000000 ):@0.829017:0.659562:0.835153:0.659562:0.835153:0.643990:0.829017:0.643990:0.000000 Producto de escalares por matrices:@0.182228:0.686202:0.434047:0.686202:0.434047:0.670838:0.182228:0.670838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Producto de matrices:@0.613117:0.686202:0.766869:0.686202:0.766869:0.670838:0.613117:0.670838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 λ:@0.247764:0.720137:0.256961:0.720137:0.256961:0.705980:0.247764:0.705980:0.000000 A = :@0.256961:0.719521:0.284083:0.719521:0.284083:0.704622:0.256961:0.704622:0.000000:0.000000:0.000000:0.000000 λ:@0.290755:0.710437:0.299953:0.710437:0.299953:0.696279:0.290755:0.696279:0.000000 a:@0.299949:0.710135:0.309218:0.710135:0.309218:0.693774:0.299949:0.693774:0.000000 11:@0.309218:0.713299:0.319704:0.713299:0.319704:0.703744:0.309218:0.703744:0.000000:0.000000 λ:@0.333874:0.710437:0.343072:0.710437:0.343072:0.696279:0.333874:0.696279:0.000000 a:@0.343070:0.710135:0.352339:0.710135:0.352339:0.693774:0.343070:0.693774:0.000000 12:@0.352339:0.713299:0.362824:0.713299:0.362824:0.703744:0.352339:0.703744:0.000000:0.000000 λ:@0.290755:0.727853:0.299953:0.727853:0.299953:0.713696:0.290755:0.713696:0.000000 a:@0.299949:0.727551:0.309218:0.727551:0.309218:0.711190:0.299949:0.711190:0.000000 21:@0.309218:0.730715:0.319704:0.730715:0.319704:0.721160:0.309218:0.721160:0.000000:0.000000 λ:@0.333874:0.727853:0.343072:0.727853:0.343072:0.713696:0.333874:0.713696:0.000000 a:@0.343070:0.727551:0.352339:0.727551:0.352339:0.711190:0.343070:0.711190:0.000000 22:@0.352339:0.730715:0.362824:0.730715:0.362824:0.721160:0.352339:0.721160:0.000000:0.000000 AB = :@0.548474:0.720464:0.587725:0.720464:0.587725:0.705565:0.548474:0.705565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.594396:0.709827:0.623239:0.709827:0.623239:0.693466:0.594396:0.693466:0.000000:0.000000:0.000000 11 11:@0.602744:0.712991:0.632265:0.712991:0.632265:0.703436:0.602744:0.703436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.641262:0.710166:0.651379:0.710166:0.651379:0.694593:0.641262:0.694593:0.000000 a b:@0.660132:0.709821:0.688975:0.709827:0.688975:0.693466:0.660132:0.693459:0.000000:0.000000:0.000000 12 21:@0.668478:0.712991:0.698000:0.712991:0.698000:0.703436:0.668478:0.703436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.594396:0.727253:0.623239:0.727253:0.623239:0.710892:0.594396:0.710892:0.000000:0.000000:0.000000 21 11:@0.602744:0.730417:0.632265:0.730417:0.632265:0.720862:0.602744:0.720862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.641262:0.727593:0.651379:0.727593:0.651379:0.712020:0.641262:0.712020:0.000000 a b:@0.660132:0.727247:0.688975:0.727253:0.688975:0.710892:0.660132:0.710886:0.000000:0.000000:0.000000 22 21:@0.668478:0.730417:0.698000:0.730417:0.698000:0.720862:0.668478:0.720862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.721702:0.709827:0.750547:0.709827:0.750547:0.693466:0.721702:0.693466:0.000000:0.000000:0.000000 11 12:@0.730050:0.712991:0.759572:0.712991:0.759572:0.703436:0.730050:0.703436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.768571:0.710166:0.778687:0.710166:0.778687:0.694593:0.768571:0.694593:0.000000 a b:@0.787441:0.709821:0.816281:0.709827:0.816281:0.693466:0.787441:0.693459:0.000000:0.000000:0.000000 12 22:@0.795785:0.712991:0.825308:0.712991:0.825308:0.703436:0.795785:0.703436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.721702:0.727253:0.750547:0.727253:0.750547:0.710892:0.721702:0.710892:0.000000:0.000000:0.000000 21 12:@0.730050:0.730417:0.759572:0.730417:0.759572:0.720862:0.730050:0.720862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.768571:0.727593:0.778687:0.727593:0.778687:0.712020:0.768571:0.712020:0.000000 a b:@0.787441:0.727247:0.816281:0.727253:0.816281:0.710892:0.787441:0.710886:0.000000:0.000000:0.000000 22 22:@0.795787:0.730417:0.825308:0.730417:0.825308:0.720862:0.795787:0.720862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Shutterstock, 1204757041.:@0.893021:0.429432:0.893021:0.337312:0.879125:0.337312:0.879125:0.429432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000