65:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5.2 Igualdad de matrices:@0.073089:0.148451:0.265643:0.148451:0.265643:0.131505:0.073089:0.131505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Definición.:@0.073089:0.175813:0.159769:0.175813:0.159769:0.158866:0.073089:0.158866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.159769:0.175813:0.163579:0.175813:0.163579:0.158866:0.159769:0.158866:0.000000 Sean = ( ):@0.164260:0.175813:0.258951:0.175815:0.258951:0.159381:0.164260:0.159380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.205014:0.175813:0.214898:0.175813:0.214898:0.159407:0.205014:0.159407:0.000000 a:@0.240392:0.175813:0.249651:0.175813:0.249651:0.159407:0.240392:0.159407:0.000000 ij:@0.249699:0.178987:0.254045:0.178987:0.254045:0.169422:0.249699:0.169422:0.000000:0.000000 2×2 :@0.259004:0.178987:0.281090:0.178987:0.281090:0.169406:0.259004:0.169406:0.000000:0.000000:0.000000:0.000000:0.000000 , = ( ) :@0.281508:0.175815:0.380793:0.175815:0.380793:0.159381:0.281508:0.159381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.289515:0.175815:0.298351:0.175815:0.298351:0.159409:0.289515:0.159409:0.000000 b:@0.323845:0.175815:0.333104:0.175815:0.333104:0.159409:0.323845:0.159409:0.000000 ij:@0.333157:0.178987:0.337503:0.178987:0.337503:0.169422:0.333157:0.169422:0.000000:0.000000 2×2:@0.342464:0.178987:0.359399:0.178987:0.359399:0.169406:0.342464:0.169406:0.000000:0.000000:0.000000 ∈:@0.364178:0.175260:0.376706:0.175260:0.376706:0.159044:0.364178:0.159044:0.000000 M:@0.381511:0.175815:0.395390:0.175815:0.395390:0.159409:0.381511:0.159409:0.000000 2×2 :@0.395437:0.178987:0.414754:0.178987:0.414754:0.169406:0.395437:0.169406:0.000000:0.000000:0.000000:0.000000 [ ]. Diremos que las matrices y son :@0.415171:0.175815:0.710369:0.175815:0.710369:0.159381:0.415171:0.159381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ℝ:@0.420105:0.176397:0.433395:0.176397:0.433395:0.158743:0.420105:0.158743:0.000000 A B:@0.638488:0.175815:0.674898:0.175815:0.674898:0.159409:0.638488:0.159409:0.000000:0.000000:0.000000 iguales, y escribiremos = si y solo si = = 1, 2, = 1, 2; es decir, = :@0.073091:0.192457:0.630920:0.192457:0.630920:0.176023:0.073091:0.176023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.240468:0.192457:0.250353:0.192457:0.250353:0.176050:0.240468:0.176050:0.000000 B:@0.269809:0.192457:0.278645:0.192457:0.278645:0.176050:0.269809:0.176050:0.000000 a:@0.359342:0.192457:0.368601:0.192457:0.368601:0.176050:0.359342:0.176050:0.000000 ij:@0.368554:0.195629:0.372836:0.195629:0.372836:0.186064:0.368554:0.186064:0.000000:0.000000 b i:@0.392331:0.192457:0.409572:0.192457:0.409572:0.176050:0.392331:0.176050:0.000000:0.000000:0.000000 ij:@0.401533:0.195629:0.405815:0.195629:0.405815:0.186064:0.401533:0.186064:0.000000:0.000000 j:@0.470390:0.192457:0.474016:0.192457:0.474016:0.176050:0.470390:0.176050:0.000000 A:@0.588785:0.192457:0.598670:0.192457:0.598670:0.176050:0.588785:0.176050:0.000000 B:@0.618126:0.192457:0.626962:0.192457:0.626962:0.176050:0.618126:0.176050:0.000000 ⇔:@0.631214:0.192040:0.650394:0.192040:0.650394:0.175052:0.631214:0.175052:0.000000 = , :@0.650302:0.192457:0.710372:0.192457:0.710372:0.176023:0.650302:0.176023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.654628:0.192457:0.663887:0.192457:0.663887:0.176050:0.654628:0.176050:0.000000 ij:@0.663840:0.195629:0.668122:0.195629:0.668122:0.186064:0.663840:0.186064:0.000000:0.000000 b:@0.687617:0.192457:0.696876:0.192457:0.696876:0.176050:0.687617:0.176050:0.000000 ij :@0.696817:0.195629:0.702988:0.195629:0.702988:0.186064:0.696817:0.186064:0.000000:0.000000:0.000000 :@0.706341:0.192457:0.710372:0.192457:0.710372:0.176023:0.706341:0.176023:0.000000 i:@0.073094:0.209098:0.076886:0.209098:0.076886:0.192692:0.073094:0.192692:0.000000 = 1, 2, = 1, 2.:@0.076813:0.209098:0.185931:0.209098:0.185931:0.192665:0.076813:0.192665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.135458:0.209098:0.139084:0.209098:0.139084:0.192692:0.135458:0.192692:0.000000 Ejercicio 2:@0.073076:0.243602:0.150221:0.243602:0.150221:0.226933:0.073076:0.226933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.073089:0.274919:0.090097:0.274919:0.090097:0.258250:0.073089:0.258250:0.000000:0.000000:0.000000 Sean las matrices A = :@0.103288:0.274919:0.270956:0.274919:0.270956:0.258486:0.103288:0.258486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 –1:@0.283632:0.264142:0.321249:0.264142:0.321249:0.249203:0.283632:0.249203:0.000000:0.000000:0.000000:0.000000 1 –2:@0.283632:0.285588:0.321249:0.285588:0.321249:0.270648:0.283632:0.270648:0.000000:0.000000:0.000000:0.000000 , B = :@0.330657:0.274919:0.374890:0.274919:0.374890:0.258486:0.330657:0.258486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 –1:@0.386357:0.266138:0.424628:0.266138:0.424628:0.251198:0.386357:0.251198:0.000000:0.000000:0.000000:0.000000 1:@0.386357:0.284898:0.394524:0.284898:0.394524:0.269958:0.386357:0.269958:0.000000 2:@0.412312:0.284898:0.420478:0.284898:0.420478:0.269958:0.412312:0.269958:0.000000 , se tiene que :@0.432228:0.274919:0.539248:0.274919:0.539248:0.258486:0.432228:0.258486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.540642:0.274919:0.550527:0.274919:0.550527:0.258513:0.540642:0.258513:0.000000 ≠ , :@0.550656:0.274919:0.589127:0.274919:0.589127:0.258250:0.550656:0.258250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.572284:0.274919:0.581120:0.274919:0.581120:0.258513:0.572284:0.258513:0.000000 pues :@0.590470:0.274919:0.630893:0.274919:0.630893:0.258486:0.590470:0.258486:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.632273:0.274919:0.641532:0.274919:0.641532:0.258513:0.632273:0.258513:0.000000 22:@0.641668:0.278092:0.652238:0.278092:0.652238:0.268511:0.641668:0.268511:0.000000:0.000000 = –2 y :@0.652334:0.274919:0.710372:0.274919:0.710372:0.258486:0.652334:0.258486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b = 2 no son iguales a pesar de que los otros componentes coinciden.:@0.103209:0.302656:0.621518:0.302656:0.621518:0.286222:0.103209:0.286222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 22:@0.113290:0.305828:0.123721:0.305828:0.123721:0.296247:0.113290:0.296247:0.000000:0.000000 2. :@0.073089:0.336803:0.090097:0.336803:0.090097:0.320133:0.073089:0.320133:0.000000:0.000000:0.000000 Sean = :@0.103288:0.336803:0.171395:0.336803:0.171395:0.320369:0.103288:0.320369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.142698:0.336803:0.152582:0.336803:0.152582:0.320397:0.142698:0.320397:0.000000 4:@0.182259:0.326921:0.190426:0.326921:0.190426:0.311981:0.182259:0.311981:0.000000 0:@0.210489:0.326921:0.218656:0.326921:0.218656:0.311981:0.210489:0.311981:0.000000 –2 3:@0.178109:0.345908:0.218656:0.345908:0.218656:0.330968:0.178109:0.330968:0.000000:0.000000:0.000000:0.000000 , = :@0.226996:0.336803:0.269617:0.336803:0.269617:0.320369:0.226996:0.320369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.241969:0.336803:0.250805:0.336803:0.250805:0.320397:0.241969:0.320397:0.000000 x:@0.282182:0.327934:0.288960:0.327934:0.288960:0.313019:0.282182:0.313019:0.000000 0:@0.305208:0.327934:0.313374:0.327934:0.313374:0.312994:0.305208:0.312994:0.000000 y:@0.282182:0.347412:0.288976:0.347412:0.288976:0.332498:0.282182:0.332498:0.000000 3:@0.305208:0.347412:0.313374:0.347412:0.313374:0.332472:0.305208:0.332472:0.000000 matrices reales. Entonces, = :@0.326087:0.336803:0.559774:0.336803:0.559774:0.320369:0.326087:0.320369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.518376:0.336803:0.528261:0.336803:0.528261:0.320397:0.518376:0.320397:0.000000 B:@0.546981:0.336803:0.555816:0.336803:0.555816:0.320397:0.546981:0.320397:0.000000 ⇔:@0.559700:0.336387:0.578881:0.336387:0.578881:0.319398:0.559700:0.319398:0.000000 = 4, = –2.:@0.578788:0.336803:0.672353:0.336803:0.672353:0.320369:0.578788:0.320369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.582746:0.336803:0.590201:0.336803:0.590201:0.320397:0.582746:0.320397:0.000000 y:@0.624899:0.336803:0.632372:0.336803:0.632372:0.320397:0.624899:0.320397:0.000000 Adición en M [ ]:@0.073086:0.384385:0.228987:0.384382:0.228987:0.367435:0.073086:0.367438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2×2:@0.175805:0.387555:0.193619:0.387555:0.193619:0.377675:0.175805:0.377675:0.000000:0.000000:0.000000 ℝ:@0.206512:0.384965:0.219802:0.384965:0.219802:0.367310:0.206512:0.367310:0.000000 Definición.:@0.073096:0.415322:0.158487:0.415322:0.158487:0.398375:0.073096:0.398375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean = ( ) , = ( ) dos matrices reales.:@0.158377:0.415322:0.489516:0.415318:0.489516:0.398885:0.158377:0.398888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.201744:0.415322:0.211629:0.415322:0.211629:0.398916:0.201744:0.398916:0.000000 a:@0.235135:0.415322:0.244394:0.415322:0.244394:0.398916:0.235135:0.398916:0.000000 ij:@0.244337:0.418491:0.248619:0.418491:0.248619:0.408926:0.244337:0.408926:0.000000:0.000000 2×2:@0.253382:0.418491:0.270166:0.418491:0.270166:0.408910:0.253382:0.408910:0.000000:0.000000:0.000000 B:@0.277179:0.415318:0.286014:0.415318:0.286014:0.398912:0.277179:0.398912:0.000000 b:@0.309520:0.415318:0.318779:0.415318:0.318779:0.398912:0.309520:0.398912:0.000000 ij:@0.318732:0.418491:0.323014:0.418491:0.323014:0.408926:0.318732:0.408926:0.000000:0.000000 2×2:@0.327777:0.418491:0.344561:0.418491:0.344561:0.408910:0.327777:0.408910:0.000000:0.000000:0.000000 i. :@0.073089:0.442682:0.084962:0.442682:0.084962:0.426012:0.073089:0.426012:0.000000:0.000000:0.000000 Definimos la suma de las matrices y como sigue: :@0.103288:0.442682:0.484005:0.442682:0.484005:0.426248:0.103288:0.426248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B:@0.352724:0.442682:0.387293:0.442682:0.387293:0.426276:0.352724:0.426276:0.000000:0.000000:0.000000 A:@0.103196:0.462901:0.113080:0.462901:0.113080:0.446495:0.103196:0.446495:0.000000 + = ( ) + ( ) = ( + ) .:@0.113007:0.462901:0.352342:0.462898:0.352342:0.446464:0.113007:0.446468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.131801:0.462901:0.140636:0.462901:0.140636:0.446495:0.131801:0.446495:0.000000 a:@0.164142:0.462901:0.173401:0.462901:0.173401:0.446495:0.164142:0.446495:0.000000 ij:@0.173370:0.466070:0.177652:0.466070:0.177652:0.456505:0.173370:0.456505:0.000000:0.000000 2×2:@0.182415:0.466070:0.199199:0.466070:0.199199:0.456489:0.182415:0.456489:0.000000:0.000000:0.000000 b:@0.222724:0.462898:0.231982:0.462898:0.231982:0.446492:0.222724:0.446492:0.000000 ij:@0.231924:0.466070:0.236206:0.466070:0.236206:0.456505:0.231924:0.456505:0.000000:0.000000 2×2:@0.240969:0.466070:0.257752:0.466070:0.257752:0.456489:0.240969:0.456489:0.000000:0.000000:0.000000 a:@0.281277:0.462898:0.290536:0.462898:0.290536:0.446492:0.281277:0.446492:0.000000 ij:@0.290479:0.466070:0.294761:0.466070:0.294761:0.456505:0.290479:0.456505:0.000000:0.000000 :@0.294729:0.466070:0.299386:0.466070:0.299386:0.456489:0.294729:0.456489:0.000000:0.000000 b:@0.314169:0.462898:0.323428:0.462898:0.323428:0.446492:0.314169:0.446492:0.000000 ij:@0.323366:0.466070:0.327648:0.466070:0.327648:0.456505:0.323366:0.456505:0.000000:0.000000 2×2:@0.332411:0.466070:0.349195:0.466070:0.349195:0.456489:0.332411:0.456489:0.000000:0.000000:0.000000 ii. :@0.073089:0.490261:0.089195:0.490261:0.089195:0.473591:0.073089:0.473591:0.000000:0.000000:0.000000:0.000000 La operación adición “+\ en :@0.103288:0.490261:0.305447:0.490261:0.305447:0.473827:0.103288:0.473827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.305179:0.490261:0.319058:0.490261:0.319058:0.473855:0.305179:0.473855:0.000000 2×2 :@0.318999:0.493433:0.338090:0.493433:0.338090:0.483852:0.318999:0.483852:0.000000:0.000000:0.000000:0.000000 [ ] es la función definida como::@0.338030:0.490261:0.576827:0.490261:0.576827:0.473827:0.338030:0.473827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ℝ:@0.346773:0.490843:0.360063:0.490843:0.360063:0.473189:0.346773:0.473189:0.000000 +::@0.133336:0.517526:0.147362:0.517526:0.147362:0.501092:0.133336:0.501092:0.000000:0.000000 M:@0.160102:0.510213:0.173981:0.510213:0.173981:0.493807:0.160102:0.493807:0.000000 2×2:@0.173914:0.513386:0.190698:0.513386:0.190698:0.503805:0.173914:0.503805:0.000000:0.000000:0.000000 [ ] × :@0.190643:0.510213:0.232336:0.510213:0.232336:0.493780:0.190643:0.493780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ℝ:@0.195447:0.510796:0.208737:0.510796:0.208737:0.493142:0.195447:0.493142:0.000000 M:@0.232225:0.510213:0.246104:0.510213:0.246104:0.493807:0.232225:0.493807:0.000000 2×2:@0.246041:0.513386:0.262824:0.513386:0.262824:0.503805:0.246041:0.503805:0.000000:0.000000:0.000000 [ ] :@0.262769:0.510213:0.311622:0.510213:0.311622:0.493780:0.262769:0.493780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ℝ:@0.267574:0.510796:0.280864:0.510796:0.280864:0.493142:0.267574:0.493142:0.000000 →:@0.289515:0.509797:0.307683:0.509797:0.307683:0.492809:0.289515:0.492809:0.000000 M:@0.311549:0.510213:0.325428:0.510213:0.325428:0.493807:0.311549:0.493807:0.000000 2×2 :@0.325347:0.513386:0.344439:0.513386:0.344439:0.503805:0.325347:0.503805:0.000000:0.000000:0.000000:0.000000 [ ]:@0.344380:0.510213:0.367261:0.510213:0.367261:0.493780:0.344380:0.493780:0.000000:0.000000:0.000000 ℝ:@0.349185:0.510796:0.362475:0.510796:0.362475:0.493142:0.349185:0.493142:0.000000 ( , ) + :@0.160102:0.528600:0.320848:0.528600:0.320848:0.513660:0.160102:0.513660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B:@0.243470:0.528600:0.266847:0.528600:0.266847:0.513686:0.243470:0.513686:0.000000:0.000000:0.000000 →:@0.274729:0.528222:0.291245:0.528222:0.291245:0.512778:0.274729:0.512778:0.000000 A:@0.294760:0.528600:0.303746:0.528600:0.303746:0.513686:0.294760:0.513686:0.000000 B:@0.320764:0.528600:0.328796:0.528600:0.328796:0.513686:0.320764:0.513686:0.000000 . :@0.379406:0.517526:0.390598:0.517526:0.390598:0.501092:0.379406:0.501092:0.000000:0.000000:0.000000 :@0.073089:0.552036:0.077120:0.552036:0.077120:0.535602:0.073089:0.535602:0.000000 Si las matrices reales = ( ) , = ( ) se escriben:@0.133336:0.552036:0.512020:0.552036:0.512020:0.535602:0.133336:0.535602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.283849:0.552036:0.293734:0.552036:0.293734:0.535630:0.283849:0.535630:0.000000 a:@0.317240:0.552036:0.326499:0.552036:0.326499:0.535630:0.317240:0.535630:0.000000 ij:@0.326447:0.555209:0.330729:0.555209:0.330729:0.545644:0.326447:0.545644:0.000000:0.000000 2×2:@0.335491:0.555209:0.352275:0.555209:0.352275:0.545627:0.335491:0.545627:0.000000:0.000000:0.000000 B:@0.359289:0.552036:0.368124:0.552036:0.368124:0.535630:0.359289:0.535630:0.000000 b:@0.391630:0.552036:0.400889:0.552036:0.400889:0.535630:0.391630:0.535630:0.000000 ij:@0.400842:0.555209:0.405124:0.555209:0.405124:0.545644:0.400842:0.545644:0.000000:0.000000 2×2:@0.409887:0.555209:0.426671:0.555209:0.426671:0.545627:0.409887:0.545627:0.000000:0.000000:0.000000 como = :@0.133336:0.583400:0.208527:0.583400:0.208527:0.566966:0.133336:0.566966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.179830:0.583400:0.189714:0.583400:0.189714:0.566994:0.179830:0.566994:0.000000 a:@0.219087:0.568865:0.227504:0.568865:0.227504:0.553950:0.219087:0.553950:0.000000 11:@0.227444:0.571748:0.236927:0.571748:0.236927:0.563039:0.227444:0.563039:0.000000:0.000000 a:@0.247548:0.568865:0.255965:0.568865:0.255965:0.553950:0.247548:0.553950:0.000000 12:@0.255905:0.571748:0.265388:0.571748:0.265388:0.563039:0.255905:0.563039:0.000000:0.000000 a:@0.219087:0.592727:0.227504:0.592727:0.227504:0.577812:0.219087:0.577812:0.000000 21:@0.227444:0.595611:0.236927:0.595611:0.236927:0.586901:0.227444:0.586901:0.000000:0.000000 a:@0.247548:0.592727:0.255965:0.592727:0.255965:0.577812:0.247548:0.577812:0.000000 22:@0.255905:0.595611:0.265388:0.595611:0.265388:0.586901:0.255905:0.586901:0.000000:0.000000 , = :@0.273611:0.583400:0.312283:0.583400:0.312283:0.566966:0.273611:0.566966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.284636:0.583400:0.293471:0.583400:0.293471:0.566994:0.284636:0.566994:0.000000 b:@0.322918:0.573518:0.331335:0.573518:0.331335:0.558603:0.322918:0.558603:0.000000 11:@0.331275:0.576402:0.340757:0.576402:0.340757:0.567692:0.331275:0.567692:0.000000:0.000000 b:@0.351379:0.573518:0.359796:0.573518:0.359796:0.558603:0.351379:0.558603:0.000000 12:@0.359735:0.576402:0.369218:0.576402:0.369218:0.567692:0.359735:0.567692:0.000000:0.000000 b:@0.322918:0.594959:0.331335:0.594959:0.331335:0.580045:0.322918:0.580045:0.000000 21:@0.331275:0.597843:0.340757:0.597843:0.340757:0.589134:0.331275:0.589134:0.000000:0.000000 b:@0.351379:0.594959:0.359796:0.594959:0.359796:0.580045:0.351379:0.580045:0.000000 22:@0.359735:0.597843:0.369218:0.597843:0.369218:0.589134:0.359735:0.589134:0.000000:0.000000 , la suma de estas dos :@0.377368:0.583400:0.537861:0.583400:0.537861:0.566966:0.377368:0.566966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.073089:0.617910:0.077120:0.617910:0.077120:0.601476:0.073089:0.601476:0.000000 matrices se expresa como::@0.133336:0.617910:0.324414:0.617910:0.324414:0.601476:0.133336:0.601476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.073089:0.646595:0.077120:0.646595:0.077120:0.630161:0.073089:0.630161:0.000000 A:@0.133331:0.646595:0.143215:0.646595:0.143215:0.630188:0.133331:0.630188:0.000000 + = :@0.143142:0.646595:0.189583:0.646595:0.189583:0.630161:0.143142:0.630161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.161936:0.646595:0.170771:0.646595:0.170771:0.630188:0.161936:0.630188:0.000000 a:@0.196666:0.636712:0.205083:0.636712:0.205083:0.621797:0.196666:0.621797:0.000000 11:@0.205023:0.639595:0.214505:0.639595:0.214505:0.630886:0.205023:0.630886:0.000000:0.000000 a:@0.230147:0.636712:0.238564:0.636712:0.238564:0.621797:0.230147:0.621797:0.000000 12:@0.238502:0.639595:0.247985:0.639595:0.247985:0.630886:0.238502:0.630886:0.000000:0.000000 a:@0.196666:0.658154:0.205083:0.658154:0.205083:0.643240:0.196666:0.643240:0.000000 21:@0.205023:0.661038:0.214505:0.661038:0.214505:0.652328:0.205023:0.652328:0.000000:0.000000 a:@0.230147:0.658154:0.238564:0.658154:0.238564:0.643240:0.230147:0.643240:0.000000 22:@0.238502:0.661038:0.247985:0.661038:0.247985:0.652328:0.238502:0.652328:0.000000:0.000000 + :@0.254674:0.646595:0.273559:0.646595:0.273559:0.630161:0.254674:0.630161:0.000000:0.000000:0.000000 b:@0.280629:0.637605:0.289047:0.637605:0.289047:0.622691:0.280629:0.622691:0.000000 11:@0.288986:0.640489:0.298469:0.640489:0.298469:0.631779:0.288986:0.631779:0.000000:0.000000 b:@0.314111:0.637605:0.322528:0.637605:0.322528:0.622691:0.314111:0.622691:0.000000 12:@0.322467:0.640489:0.331950:0.640489:0.331950:0.631779:0.322467:0.631779:0.000000:0.000000 b:@0.280629:0.659048:0.289047:0.659048:0.289047:0.644134:0.280629:0.644134:0.000000 21:@0.288986:0.661932:0.298469:0.661932:0.298469:0.653222:0.288986:0.653222:0.000000:0.000000 b:@0.314111:0.659048:0.322528:0.659048:0.322528:0.644134:0.314111:0.644134:0.000000 22:@0.322467:0.661932:0.331950:0.661932:0.331950:0.653222:0.322467:0.653222:0.000000:0.000000 = :@0.338637:0.646595:0.357523:0.646595:0.357523:0.630161:0.338637:0.630161:0.000000:0.000000:0.000000 a:@0.367316:0.635818:0.375733:0.635818:0.375733:0.620903:0.367316:0.620903:0.000000 11:@0.375673:0.638702:0.385156:0.638702:0.385156:0.629992:0.375673:0.629992:0.000000:0.000000 + :@0.385109:0.635818:0.402278:0.635818:0.402278:0.620878:0.385109:0.620878:0.000000:0.000000:0.000000 b:@0.402194:0.635818:0.410611:0.635818:0.410611:0.620903:0.402194:0.620903:0.000000 11:@0.410548:0.638702:0.420031:0.638702:0.420031:0.629992:0.410548:0.629992:0.000000:0.000000 a:@0.444918:0.635818:0.453335:0.635818:0.453335:0.620903:0.444918:0.620903:0.000000 12:@0.453273:0.638702:0.462756:0.638702:0.462756:0.629992:0.453273:0.629992:0.000000:0.000000 + :@0.462709:0.635818:0.479878:0.635818:0.479878:0.620878:0.462709:0.620878:0.000000:0.000000:0.000000 b:@0.479794:0.635818:0.488211:0.635818:0.488211:0.620903:0.479794:0.620903:0.000000 12:@0.488149:0.638702:0.497632:0.638702:0.497632:0.629992:0.488149:0.629992:0.000000:0.000000 a:@0.367316:0.657260:0.375733:0.657260:0.375733:0.642346:0.367316:0.642346:0.000000 21:@0.375673:0.660144:0.385156:0.660144:0.385156:0.651435:0.375673:0.651435:0.000000:0.000000 + :@0.385109:0.657260:0.402278:0.657260:0.402278:0.642321:0.385109:0.642321:0.000000:0.000000:0.000000 b:@0.402194:0.657260:0.410611:0.657260:0.410611:0.642346:0.402194:0.642346:0.000000 21:@0.410548:0.660144:0.420031:0.660144:0.420031:0.651435:0.410548:0.651435:0.000000:0.000000 a:@0.444918:0.657260:0.453335:0.657260:0.453335:0.642346:0.444918:0.642346:0.000000 22:@0.453274:0.660144:0.462757:0.660144:0.462757:0.651435:0.453274:0.651435:0.000000:0.000000 + :@0.462709:0.657260:0.479878:0.657260:0.479878:0.642321:0.462709:0.642321:0.000000:0.000000:0.000000 b:@0.479794:0.657260:0.488211:0.657260:0.488211:0.642346:0.479794:0.642346:0.000000 22:@0.488149:0.660144:0.497632:0.660144:0.497632:0.651435:0.488149:0.651435:0.000000:0.000000 .:@0.507986:0.646595:0.515146:0.646595:0.515146:0.630161:0.507986:0.630161:0.000000:0.000000 Nota que la adición de dos matrices de 2 × 2 es una matriz de 2 × 2 que se obtiene :@0.073089:0.690600:0.710852:0.690600:0.710852:0.674166:0.073089:0.674166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sumando sus respectivos componentes.:@0.073089:0.707241:0.364790:0.707241:0.364790:0.690808:0.073089:0.690808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicio 3:@0.073089:0.741745:0.150234:0.741745:0.150234:0.725076:0.073089:0.725076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.073089:0.776690:0.090097:0.776690:0.090097:0.760020:0.073089:0.760020:0.000000:0.000000:0.000000 Sean = :@0.103288:0.776690:0.170695:0.776690:0.170695:0.760256:0.103288:0.760256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.138740:0.776690:0.151865:0.776690:0.151865:0.760283:0.138740:0.760283:0.000000:0.000000 3:@0.180790:0.767700:0.188956:0.767700:0.188956:0.752761:0.180790:0.752761:0.000000 5:@0.210091:0.767700:0.218257:0.767700:0.218257:0.752761:0.210091:0.752761:0.000000 –8 12:@0.176657:0.789146:0.222324:0.789146:0.222324:0.774206:0.176657:0.774206:0.000000:0.000000:0.000000:0.000000:0.000000 , = :@0.226293:0.776690:0.268914:0.776690:0.268914:0.760256:0.226293:0.760256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.241266:0.776690:0.250102:0.776690:0.250102:0.760283:0.241266:0.760283:0.000000 –1:@0.275654:0.766807:0.292121:0.766807:0.292121:0.751867:0.275654:0.751867:0.000000:0.000000 4:@0.309892:0.766807:0.318058:0.766807:0.318058:0.751867:0.309892:0.751867:0.000000 10 15:@0.275755:0.788252:0.322108:0.788252:0.322108:0.773312:0.275755:0.773312:0.000000:0.000000:0.000000:0.000000:0.000000 , entonces, :@0.324514:0.776690:0.410019:0.776690:0.410019:0.760256:0.324514:0.760256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.103210:0.825028:0.113095:0.825028:0.113095:0.808622:0.103210:0.808622:0.000000 + = :@0.113021:0.825028:0.159462:0.825028:0.159462:0.808594:0.113021:0.808594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.131815:0.825028:0.140650:0.825028:0.140650:0.808622:0.131815:0.808622:0.000000 3:@0.169861:0.814252:0.178027:0.814252:0.178027:0.799312:0.169861:0.799312:0.000000 5:@0.199447:0.814252:0.207613:0.814252:0.207613:0.799312:0.199447:0.799312:0.000000 –8 12:@0.165711:0.835697:0.211663:0.835697:0.211663:0.820758:0.165711:0.820758:0.000000:0.000000:0.000000:0.000000:0.000000 + :@0.215066:0.825028:0.233952:0.825028:0.233952:0.808594:0.215066:0.808594:0.000000:0.000000:0.000000 –1:@0.239948:0.815146:0.256414:0.815146:0.256414:0.800206:0.239948:0.800206:0.000000:0.000000 4:@0.273449:0.815146:0.281615:0.815146:0.281615:0.800206:0.273449:0.800206:0.000000 10 15:@0.240048:0.836591:0.285665:0.836591:0.285665:0.821651:0.240048:0.821651:0.000000:0.000000:0.000000:0.000000:0.000000 = :@0.289545:0.825028:0.308431:0.825028:0.308431:0.808594:0.289545:0.808594:0.000000:0.000000:0.000000 3 – 1:@0.329897:0.815146:0.361658:0.815146:0.361658:0.800206:0.329897:0.800206:0.000000:0.000000:0.000000:0.000000:0.000000 5 + 4:@0.405267:0.815146:0.438634:0.815146:0.438634:0.800206:0.405267:0.800206:0.000000:0.000000:0.000000:0.000000:0.000000 –8 + 10:@0.320894:0.836591:0.370661:0.836591:0.370661:0.821651:0.320894:0.821651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 12 + 15:@0.397167:0.836591:0.446733:0.836591:0.446733:0.821651:0.397167:0.821651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = :@0.458892:0.825028:0.477778:0.825028:0.477778:0.808594:0.458892:0.808594:0.000000:0.000000:0.000000 2:@0.487311:0.814252:0.495477:0.814252:0.495477:0.799312:0.487311:0.799312:0.000000 9:@0.516043:0.814252:0.524209:0.814252:0.524209:0.799312:0.516043:0.799312:0.000000 2 27:@0.487311:0.835697:0.528276:0.835697:0.528276:0.820758:0.487311:0.820758:0.000000:0.000000:0.000000:0.000000 .:@0.533369:0.825028:0.540530:0.825028:0.540530:0.808594:0.533369:0.808594:0.000000:0.000000 2. :@0.073089:0.876941:0.090097:0.876941:0.090097:0.860272:0.073089:0.860272:0.000000:0.000000:0.000000 Sea = :@0.103288:0.876941:0.161602:0.876941:0.161602:0.860508:0.103288:0.860508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.132905:0.876941:0.142790:0.876941:0.142790:0.860535:0.132905:0.860535:0.000000 a:@0.171026:0.867952:0.179443:0.867952:0.179443:0.853038:0.171026:0.853038:0.000000 b:@0.199758:0.867952:0.208175:0.867952:0.208175:0.853038:0.199758:0.853038:0.000000 c:@0.171746:0.889398:0.178707:0.889398:0.178707:0.874483:0.171746:0.874483:0.000000 d:@0.199758:0.889398:0.208175:0.889398:0.208175:0.874483:0.199758:0.874483:0.000000 con , , , . Entonces, :@0.217210:0.876941:0.423868:0.876941:0.423868:0.860508:0.217210:0.860508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b c d:@0.252737:0.876941:0.309156:0.876941:0.309156:0.860535:0.252737:0.860535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∈:@0.313076:0.876387:0.325604:0.876387:0.325604:0.860170:0.313076:0.860170:0.000000 ℝ:@0.329472:0.877524:0.342762:0.877524:0.342762:0.859870:0.329472:0.859870:0.000000 A:@0.103210:0.924385:0.113095:0.924385:0.113095:0.907978:0.103210:0.907978:0.000000 + 0 = :@0.113021:0.924385:0.159629:0.924385:0.159629:0.907951:0.113021:0.907951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.169015:0.914504:0.177432:0.914504:0.177432:0.899590:0.169015:0.899590:0.000000 b:@0.197747:0.914504:0.206164:0.914504:0.206164:0.899590:0.197747:0.899590:0.000000 c:@0.169734:0.935950:0.176695:0.935950:0.176695:0.921035:0.169734:0.921035:0.000000 d:@0.197747:0.935950:0.206164:0.935950:0.206164:0.921035:0.197747:0.921035:0.000000 + :@0.215200:0.924387:0.234086:0.924387:0.234086:0.907953:0.215200:0.907953:0.000000:0.000000:0.000000 0:@0.243619:0.914504:0.251785:0.914504:0.251785:0.899565:0.243619:0.899565:0.000000 0:@0.272351:0.914504:0.280517:0.914504:0.280517:0.899565:0.272351:0.899565:0.000000 0:@0.243619:0.935950:0.251785:0.935950:0.251785:0.921010:0.243619:0.921010:0.000000 0:@0.272351:0.935950:0.280517:0.935950:0.280517:0.921010:0.272351:0.921010:0.000000 = :@0.289677:0.924387:0.308563:0.924387:0.308563:0.907953:0.289677:0.907953:0.000000:0.000000:0.000000 a:@0.324352:0.915398:0.332769:0.915398:0.332769:0.900483:0.324352:0.900483:0.000000 + 0:@0.332702:0.915398:0.357970:0.915398:0.357970:0.900458:0.332702:0.900458:0.000000:0.000000:0.000000:0.000000 b:@0.391036:0.915398:0.399453:0.915398:0.399453:0.900483:0.391036:0.900483:0.000000 + 0:@0.399386:0.915398:0.424655:0.915398:0.424655:0.900458:0.399386:0.900458:0.000000:0.000000:0.000000:0.000000 c:@0.325071:0.936843:0.332033:0.936843:0.332033:0.921928:0.325071:0.921928:0.000000 + 0:@0.331966:0.936843:0.357234:0.936843:0.357234:0.921903:0.331966:0.921903:0.000000:0.000000:0.000000:0.000000 d:@0.391019:0.936843:0.399437:0.936843:0.399437:0.921928:0.391019:0.921928:0.000000 + 0:@0.399370:0.936843:0.424638:0.936843:0.424638:0.921903:0.399370:0.921903:0.000000:0.000000:0.000000:0.000000 = :@0.440051:0.924387:0.458937:0.924387:0.458937:0.907953:0.440051:0.907953:0.000000:0.000000:0.000000 a:@0.468345:0.914504:0.476762:0.914504:0.476762:0.899590:0.468345:0.899590:0.000000 b:@0.497077:0.914504:0.505494:0.914504:0.505494:0.899590:0.497077:0.899590:0.000000 c:@0.469065:0.935950:0.476026:0.935950:0.476026:0.921035:0.469065:0.921035:0.000000 d:@0.497077:0.935950:0.505494:0.935950:0.505494:0.921035:0.497077:0.921035:0.000000 = .:@0.514529:0.924387:0.546335:0.924387:0.546335:0.907953:0.514529:0.907953:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.533321:0.924387:0.543206:0.924387:0.543206:0.907981:0.533321:0.907981:0.000000 La definición establece que :@0.740294:0.187395:0.924383:0.187395:0.924383:0.172455:0.740294:0.172455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos matrices de :@0.740294:0.202524:0.848589:0.202524:0.848589:0.187584:0.740294:0.187584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.848428:0.202524:0.861045:0.202524:0.861045:0.187609:0.848428:0.187609:0.000000 2×2:@0.860982:0.205408:0.876240:0.205408:0.876240:0.196698:0.860982:0.196698:0.000000:0.000000:0.000000 [ ] :@0.876189:0.202524:0.904168:0.202524:0.904168:0.187584:0.876189:0.187584:0.000000:0.000000:0.000000:0.000000:0.000000 ℝ:@0.880557:0.203053:0.892639:0.203053:0.892639:0.187004:0.880557:0.187004:0.000000 son iguales, si y solo si sus :@0.740294:0.217652:0.913700:0.217652:0.913700:0.202713:0.740294:0.202713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 respectivos componentes :@0.740294:0.232781:0.915188:0.232781:0.915188:0.217842:0.740294:0.217842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 son iguales. La negación :@0.740294:0.247910:0.904948:0.247910:0.904948:0.232971:0.740294:0.232971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la igualdad de matrices :@0.740294:0.263039:0.917792:0.263039:0.917792:0.248099:0.740294:0.248099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en :@0.740294:0.278168:0.760910:0.278168:0.760910:0.263228:0.740294:0.263228:0.000000:0.000000:0.000000 M:@0.760826:0.278168:0.773444:0.278168:0.773444:0.263254:0.760826:0.263254:0.000000 2×2:@0.773380:0.281052:0.788638:0.281052:0.788638:0.272342:0.773380:0.272342:0.000000:0.000000:0.000000 [ ] se establece del :@0.788588:0.278168:0.921630:0.278168:0.921630:0.263228:0.788588:0.263228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ℝ:@0.792955:0.278698:0.805037:0.278698:0.805037:0.262648:0.792955:0.262648:0.000000 modo siguiente: sean :@0.740294:0.293297:0.889359:0.293297:0.889359:0.278357:0.740294:0.278357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.740294:0.308426:0.749280:0.308426:0.749280:0.293512:0.740294:0.293512:0.000000 = ( ), = ( ) dos :@0.749213:0.308426:0.871049:0.308426:0.871049:0.293486:0.749213:0.293486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a B:@0.770649:0.308426:0.801707:0.308426:0.801707:0.293512:0.770649:0.293512:0.000000:0.000000:0.000000 ij:@0.779019:0.311310:0.782912:0.311310:0.782912:0.302615:0.779019:0.302615:0.000000:0.000000 b:@0.823076:0.308426:0.831493:0.308426:0.831493:0.293512:0.823076:0.293512:0.000000 ij:@0.831445:0.311310:0.835337:0.311310:0.835337:0.302615:0.831445:0.302615:0.000000:0.000000 matrices de :@0.740290:0.323555:0.820941:0.323555:0.820941:0.308615:0.740290:0.308615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.820797:0.323555:0.833414:0.323555:0.833414:0.308640:0.820797:0.308640:0.000000 2×2:@0.833362:0.326439:0.848621:0.326439:0.848621:0.317729:0.833362:0.317729:0.000000:0.000000:0.000000 [ ], :@0.848570:0.323555:0.875880:0.323555:0.875880:0.308615:0.848570:0.308615:0.000000:0.000000:0.000000:0.000000:0.000000 ℝ:@0.852938:0.324085:0.865020:0.324085:0.865020:0.308035:0.852938:0.308035:0.000000 entonces, :@0.740302:0.338684:0.807957:0.338684:0.807957:0.323744:0.740302:0.323744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.740302:0.353813:0.749288:0.353813:0.749288:0.338898:0.740302:0.338898:0.000000 ≠ :@0.749221:0.353813:0.777937:0.353813:0.777937:0.338873:0.749221:0.338873:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.766307:0.353813:0.774339:0.353813:0.774339:0.338898:0.766307:0.338898:0.000000 ⇔:@0.777870:0.353435:0.795306:0.353435:0.795306:0.337991:0.777870:0.337991:0.000000 ≠ para algún :@0.795223:0.353813:0.916247:0.353813:0.916247:0.338873:0.795223:0.338873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.798820:0.353813:0.807238:0.353813:0.807238:0.338898:0.798820:0.338898:0.000000 ij:@0.807166:0.356697:0.811058:0.356697:0.811058:0.348002:0.807166:0.348002:0.000000:0.000000 b:@0.828113:0.353813:0.836530:0.353813:0.836530:0.338898:0.828113:0.338898:0.000000 ij :@0.836467:0.356697:0.842076:0.356697:0.842076:0.348002:0.836467:0.348002:0.000000:0.000000:0.000000 índice y . Es decir que :@0.740290:0.368942:0.894460:0.368942:0.894460:0.354002:0.740290:0.354002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i j:@0.784083:0.368942:0.804599:0.368942:0.804599:0.354027:0.784083:0.354027:0.000000:0.000000:0.000000:0.000000 dos matrices de :@0.740274:0.384071:0.848569:0.384071:0.848569:0.369131:0.740274:0.369131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.848408:0.384071:0.861025:0.384071:0.861025:0.369156:0.848408:0.369156:0.000000 2×2:@0.860982:0.386955:0.876240:0.386955:0.876240:0.378245:0.860982:0.378245:0.000000:0.000000:0.000000 :@0.876231:0.384071:0.879896:0.384071:0.879896:0.369131:0.876231:0.369131:0.000000 no son iguales, si y solo :@0.740285:0.399200:0.897060:0.399200:0.897060:0.384260:0.740285:0.384260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si, al menos uno de los :@0.740285:0.414329:0.893199:0.414329:0.893199:0.399389:0.740285:0.399389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 respectivos componentes :@0.740285:0.429458:0.915179:0.429458:0.915179:0.414518:0.740285:0.414518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es distinto.:@0.740285:0.444587:0.810621:0.444587:0.810621:0.429647:0.740285:0.429647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.740294:0.146688:0.848854:0.146688:0.848854:0.129741:0.740294:0.129741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.740294:0.163330:0.837769:0.163330:0.837769:0.146383:0.740294:0.146383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Las matrices se presentan :@0.740294:0.561005:0.913042:0.561005:0.913042:0.546065:0.740294:0.546065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en una variedad de :@0.740294:0.576134:0.871196:0.576134:0.871196:0.561194:0.740294:0.561194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 campos. Se aplican, por :@0.740294:0.591263:0.899204:0.591263:0.899204:0.576323:0.740294:0.576323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ejemplo, en la física, la :@0.740294:0.606392:0.889789:0.606392:0.889789:0.591452:0.740294:0.591452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 química, la biología, en :@0.740294:0.621521:0.895326:0.621521:0.895326:0.606581:0.740294:0.606581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las distintas ramas de la :@0.740294:0.636650:0.898328:0.636650:0.898328:0.621710:0.740294:0.621710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ingeniería, en la economía, :@0.740294:0.651779:0.920829:0.651779:0.920829:0.636839:0.740294:0.636839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la administración de :@0.740294:0.666908:0.877528:0.666908:0.877528:0.651968:0.740294:0.651968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 empresas, en sociología, en :@0.740294:0.682037:0.924530:0.682037:0.924530:0.667097:0.740294:0.667097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los problemas ambientales :@0.740294:0.697166:0.921498:0.697166:0.921498:0.682226:0.740294:0.682226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y en las distintas ramas de :@0.740294:0.712294:0.915153:0.712294:0.915153:0.697355:0.740294:0.697355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las matemáticas.:@0.740294:0.727423:0.848818:0.727423:0.848818:0.712484:0.740294:0.712484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Redacta:@0.740294:0.863975:0.796160:0.863975:0.796160:0.848821:0.740294:0.848821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un resumen :@0.796073:0.863975:0.883034:0.863975:0.883034:0.849035:0.796073:0.849035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 acerca del uso de las :@0.740299:0.879104:0.879670:0.879104:0.879670:0.864164:0.740299:0.864164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matrices en la vida :@0.740299:0.894233:0.866583:0.894233:0.866583:0.879293:0.740299:0.879293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cotidiana.:@0.740299:0.909362:0.804406:0.909362:0.804406:0.894422:0.740299:0.894422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad :@0.740294:0.496394:0.906668:0.496394:0.906668:0.479447:0.740294:0.479447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemática y :@0.740294:0.513036:0.842494:0.513036:0.842494:0.496602:0.740294:0.496602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 física:@0.740294:0.529678:0.775875:0.529678:0.775875:0.513244:0.740294:0.513244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (Ev.) Realiza operaciones de adición, sustracción y multiplicación de matrices.:@0.079648:0.971366:0.484052:0.971366:0.484052:0.959414:0.079648:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000