14:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000 Demostración de propiedades de la adición de :@0.404236:0.097328:0.779850:0.097328:0.779850:0.079645:0.404236:0.079645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.779850:0.097569:0.795953:0.097569:0.795953:0.079660:0.779850:0.079660:0.000000 2×2:@0.795952:0.100546:0.814212:0.100546:0.814212:0.090237:0.795952:0.090237:0.000000:0.000000:0.000000 [ ]:@0.814211:0.097328:0.841991:0.097328:0.841991:0.079645:0.814211:0.079645:0.000000:0.000000:0.000000 R:@0.821146:0.095716:0.835056:0.095716:0.835056:0.082269:0.821146:0.082269:0.000000 Demostraremos la propiedad iii. El resto queda como tarea.:@0.404236:0.114035:0.824020:0.114035:0.824020:0.097538:0.404236:0.097538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sea A = una matriz de :@0.404236:0.145715:0.640024:0.145715:0.640024:0.129217:0.404236:0.129217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.640024:0.145831:0.655301:0.145831:0.655301:0.129362:0.640024:0.129362:0.000000 2×2:@0.655298:0.148997:0.671505:0.148997:0.671505:0.139379:0.655298:0.139379:0.000000:0.000000:0.000000 [ ].:@0.671506:0.145719:0.699277:0.145719:0.699277:0.129222:0.671506:0.129222:0.000000:0.000000:0.000000:0.000000 R:@0.677362:0.144632:0.690667:0.144632:0.690667:0.131770:0.677362:0.131770:0.000000 iii):@0.404229:0.184195:0.423283:0.184195:0.423283:0.167480:0.404229:0.167480:0.000000:0.000000:0.000000:0.000000 Existencia de elemento neutro. La matriz 0 = pertenece:@0.423283:0.183978:0.884310:0.183978:0.884310:0.167480:0.423283:0.167480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.427964:0.215585:0.435516:0.215585:0.435516:0.199087:0.427964:0.199087:0.000000 M:@0.439254:0.215701:0.454531:0.215701:0.454531:0.199232:0.439254:0.199232:0.000000 2×2:@0.454257:0.218869:0.470128:0.218869:0.470128:0.209251:0.454257:0.209251:0.000000:0.000000:0.000000 [ ] y como :@0.469959:0.215593:0.553902:0.215593:0.553902:0.199095:0.469959:0.199095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.475526:0.214506:0.488831:0.214506:0.488831:0.201643:0.475526:0.201643:0.000000 a:@0.553498:0.215708:0.562475:0.215708:0.562475:0.199239:0.553498:0.199239:0.000000 ij :@0.562069:0.218937:0.568583:0.218937:0.568583:0.209335:0.562069:0.209335:0.000000:0.000000:0.000000 :@0.568346:0.215074:0.582998:0.215074:0.582998:0.201701:0.568346:0.201701:0.000000 , se tiene + 0 = 0 + = 0, = 1, 2, = 1, 2. :@0.582735:0.215593:0.898388:0.215593:0.898388:0.199095:0.582735:0.199095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.586472:0.214506:0.599777:0.214506:0.599777:0.201643:0.586472:0.201643:0.000000 a:@0.661282:0.215708:0.670260:0.215708:0.670260:0.199239:0.661282:0.199239:0.000000 ij:@0.669855:0.218937:0.674123:0.218937:0.674123:0.209335:0.669855:0.209335:0.000000:0.000000 a:@0.744350:0.215708:0.753328:0.215708:0.753328:0.199239:0.744350:0.199239:0.000000 ij:@0.752921:0.218937:0.757189:0.218937:0.757189:0.209335:0.752921:0.209335:0.000000:0.000000 i:@0.796899:0.215708:0.800694:0.215708:0.800694:0.199239:0.796899:0.199239:0.000000 j:@0.847220:0.215708:0.851073:0.215708:0.851073:0.199239:0.847220:0.199239:0.000000 :@0.894150:0.215593:0.898292:0.215593:0.898292:0.199095:0.894150:0.199095:0.000000 Entonces, :@0.427989:0.232943:0.497823:0.232943:0.497823:0.216446:0.427989:0.216446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404254:0.267645:0.408396:0.267645:0.408396:0.251147:0.404254:0.251147:0.000000 A:@0.427989:0.267760:0.439259:0.267760:0.439259:0.251292:0.427989:0.251292:0.000000 + 0 = + = = = . :@0.439259:0.267645:0.893726:0.267645:0.893726:0.251147:0.439259:0.251147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.875559:0.267760:0.886829:0.267760:0.886829:0.251292:0.875559:0.251292:0.000000 Conclusión: + 0 = . De manera similar, se prueba que 0 + = .:@0.427989:0.305903:0.894150:0.305903:0.894150:0.289406:0.427989:0.289406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.514335:0.306019:0.525606:0.306019:0.525606:0.289550:0.514335:0.289550:0.000000 A:@0.570975:0.306019:0.582245:0.306019:0.582245:0.289550:0.570975:0.289550:0.000000 A A:@0.850456:0.306019:0.891472:0.306019:0.891472:0.289550:0.850456:0.289550:0.000000:0.000000:0.000000 Resta de matrices:@0.404236:0.340500:0.544995:0.340500:0.544995:0.322817:0.404236:0.322817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Definición :@0.404236:0.357670:0.491103:0.357670:0.491103:0.340724:0.404236:0.340724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Sean , :@0.484322:0.357207:0.579191:0.357207:0.579191:0.340710:0.484322:0.340710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B:@0.528902:0.357323:0.556258:0.357323:0.556258:0.340854:0.528902:0.340854:0.000000:0.000000:0.000000 :@0.560397:0.356689:0.575049:0.356689:0.575049:0.343315:0.560397:0.343315:0.000000 M:@0.579191:0.357323:0.594468:0.357323:0.594468:0.340854:0.579191:0.340854:0.000000 2×2:@0.594468:0.360485:0.610675:0.360485:0.610675:0.350867:0.594468:0.350867:0.000000:0.000000:0.000000 [ ]. Se define la matriz – como:@0.610676:0.357207:0.861789:0.357207:0.861789:0.340710:0.610676:0.340710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.616533:0.356120:0.629837:0.356120:0.629837:0.343258:0.616533:0.343258:0.000000 A B:@0.776619:0.357323:0.815863:0.357323:0.815863:0.340854:0.776619:0.340854:0.000000:0.000000:0.000000 A B A:@0.587666:0.381802:0.657271:0.381802:0.657271:0.365333:0.587666:0.365333:0.000000:0.000000:0.000000:0.000000:0.000000 – = + (– ).:@0.598936:0.381686:0.710713:0.381686:0.710713:0.365189:0.598936:0.365189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.692815:0.381802:0.702005:0.381802:0.702005:0.365333:0.692815:0.365333:0.000000 Ejercicio resuelto:@0.404241:0.406961:0.522220:0.406961:0.522220:0.390174:0.404241:0.390174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1.:@0.404241:0.438481:0.416513:0.438481:0.416513:0.421767:0.404241:0.421767:0.000000:0.000000 Sean = , = . Entonces, – = , y:@0.416513:0.438264:0.850251:0.438264:0.850251:0.421767:0.416513:0.421767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.465774:0.438380:0.477045:0.438380:0.477045:0.421911:0.465774:0.421911:0.000000 B:@0.565164:0.438380:0.574353:0.438380:0.574353:0.421911:0.565164:0.421911:0.000000 B:@0.745121:0.438380:0.754310:0.438380:0.754310:0.421911:0.745121:0.421911:0.000000 :@0.404241:0.494423:0.408383:0.494423:0.408383:0.477925:0.404241:0.477925:0.000000 A B A:@0.427976:0.494539:0.493728:0.494539:0.493728:0.478070:0.427976:0.478070:0.000000:0.000000:0.000000:0.000000:0.000000 – = + (– ) = + = = . :@0.439246:0.494423:0.896045:0.494423:0.896045:0.477925:0.439246:0.477925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.527346:0.494539:0.536536:0.494539:0.536536:0.478070:0.527346:0.478070:0.000000 Producto de escalares por matrices:@0.404236:0.538071:0.685369:0.538071:0.685369:0.520388:0.404236:0.520388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A los elementos de los denominamos escalares.:@0.404236:0.554778:0.757970:0.554778:0.757970:0.538281:0.404236:0.538281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.544022:0.553691:0.557326:0.553691:0.557326:0.540829:0.544022:0.540829:0.000000 Definición :@0.404245:0.589943:0.491112:0.589943:0.491112:0.572997:0.404245:0.572997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Sea y = ( ) :@0.484330:0.589480:0.674777:0.589480:0.674777:0.572982:0.484330:0.572982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 λ:@0.519362:0.596554:0.527946:0.596554:0.527946:0.578418:0.519362:0.578418:0.000000 :@0.532085:0.588961:0.546738:0.588961:0.546738:0.575588:0.532085:0.575588:0.000000 R:@0.550733:0.588393:0.564037:0.588393:0.564037:0.575531:0.550733:0.575531:0.000000 A:@0.580068:0.589596:0.591338:0.589596:0.591338:0.573127:0.580068:0.573127:0.000000 a:@0.616383:0.589596:0.625360:0.589596:0.625360:0.573127:0.616383:0.573127:0.000000 ij:@0.625244:0.592824:0.629680:0.592824:0.629680:0.583223:0.625244:0.583223:0.000000:0.000000 2×2:@0.635634:0.592757:0.651841:0.592757:0.651841:0.583138:0.635634:0.583138:0.000000:0.000000:0.000000 :@0.655983:0.588961:0.670635:0.588961:0.670635:0.575588:0.655983:0.575588:0.000000 M:@0.674777:0.589596:0.690054:0.589596:0.690054:0.573127:0.674777:0.573127:0.000000 2×2:@0.690054:0.592757:0.706261:0.592757:0.706261:0.583138:0.690054:0.583138:0.000000:0.000000:0.000000 [ ]. Se define :@0.706260:0.589480:0.807492:0.589480:0.807492:0.572982:0.706260:0.572982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.712117:0.588393:0.725422:0.588393:0.725422:0.575531:0.712117:0.575531:0.000000 λ:@0.807490:0.596554:0.816074:0.596554:0.816074:0.578418:0.807490:0.578418:0.000000 A:@0.816070:0.589596:0.827341:0.589596:0.827341:0.573127:0.816070:0.573127:0.000000 como::@0.827341:0.589480:0.876024:0.589480:0.876024:0.572982:0.827341:0.572982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 λ:@0.570182:0.621032:0.578766:0.621032:0.578766:0.602897:0.570182:0.602897:0.000000 A:@0.578763:0.614074:0.590033:0.614074:0.590033:0.597605:0.578763:0.597605:0.000000 = ( ) = (:@0.590033:0.613958:0.684160:0.613958:0.684160:0.597461:0.590033:0.597461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 λ:@0.609125:0.621032:0.617709:0.621032:0.617709:0.602897:0.609125:0.602897:0.000000 a:@0.623658:0.614074:0.632636:0.614074:0.632636:0.597605:0.623658:0.597605:0.000000 ij:@0.632519:0.617304:0.636956:0.617304:0.636956:0.607702:0.632519:0.607702:0.000000:0.000000 2×2:@0.642909:0.617236:0.659117:0.617236:0.659117:0.607618:0.642909:0.607618:0.000000:0.000000:0.000000 λ:@0.684160:0.621032:0.692744:0.621032:0.692744:0.602897:0.684160:0.602897:0.000000 a:@0.692739:0.614074:0.701717:0.614074:0.701717:0.597605:0.692739:0.597605:0.000000 ij:@0.701601:0.617304:0.706038:0.617304:0.706038:0.607702:0.701601:0.607702:0.000000:0.000000 ):@0.706039:0.613958:0.711992:0.613958:0.711992:0.597461:0.706039:0.597461:0.000000 2×2:@0.711991:0.617236:0.728198:0.617236:0.728198:0.607618:0.711991:0.607618:0.000000:0.000000:0.000000 :@0.404236:0.631309:0.408378:0.631309:0.408378:0.614811:0.404236:0.614811:0.000000 El producto de un número real por una matriz :@0.404236:0.648660:0.785563:0.648660:0.785563:0.632162:0.404236:0.632162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 λ:@0.628666:0.655734:0.637250:0.655734:0.637250:0.637598:0.628666:0.637598:0.000000 A:@0.751220:0.648775:0.762490:0.648775:0.762490:0.632307:0.751220:0.632307:0.000000 :@0.766770:0.648141:0.781422:0.648141:0.781422:0.634768:0.766770:0.634768:0.000000 M:@0.785660:0.648775:0.800937:0.648775:0.800937:0.632307:0.785660:0.632307:0.000000 2×2:@0.800946:0.651938:0.817154:0.651938:0.817154:0.642320:0.800946:0.642320:0.000000:0.000000:0.000000 [ ] es otra :@0.817153:0.648660:0.898271:0.648660:0.898271:0.632162:0.817153:0.632162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.823009:0.647573:0.836314:0.647573:0.836314:0.634711:0.823009:0.634711:0.000000 matriz de :@0.404233:0.666011:0.475938:0.666011:0.475938:0.649513:0.404233:0.649513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.476728:0.666126:0.492005:0.666126:0.492005:0.649657:0.476728:0.649657:0.000000 2×2:@0.492014:0.669288:0.508221:0.669288:0.508221:0.659670:0.492014:0.659670:0.000000:0.000000:0.000000 [ ] cuyos componentes son el producto de por los :@0.508222:0.666011:0.898280:0.666011:0.898280:0.649513:0.508222:0.649513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.514078:0.664924:0.527383:0.664924:0.527383:0.652061:0.514078:0.652061:0.000000 λ:@0.830692:0.673085:0.839276:0.673085:0.839276:0.654949:0.830692:0.654949:0.000000 respectivos componentes de la matriz .:@0.404244:0.683361:0.691947:0.683361:0.691947:0.666864:0.404244:0.666864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.677922:0.683477:0.689192:0.683477:0.689192:0.667008:0.677922:0.667008:0.000000 Así, si A = , entonces :@0.404244:0.716559:0.625523:0.716559:0.625523:0.700061:0.404244:0.700061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 λ:@0.625514:0.723628:0.634097:0.723628:0.634097:0.705493:0.625514:0.705493:0.000000 A:@0.634094:0.716670:0.645364:0.716670:0.645364:0.700201:0.634094:0.700201:0.000000 = . :@0.645364:0.716554:0.766620:0.716554:0.766620:0.700056:0.645364:0.700056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicio resuelto:@0.404240:0.758760:0.522219:0.758760:0.522219:0.741973:0.404240:0.741973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean = , = , = . Halla x, , si existen,:@0.404240:0.791582:0.894137:0.791577:0.894137:0.775080:0.404240:0.775084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.441673:0.791697:0.452943:0.791697:0.452943:0.775229:0.441673:0.775229:0.000000 B:@0.538249:0.791697:0.547439:0.791697:0.547439:0.775229:0.538249:0.775229:0.000000 C:@0.632746:0.791697:0.642783:0.791697:0.642783:0.775229:0.632746:0.775229:0.000000 y:@0.778717:0.791697:0.786403:0.791697:0.786403:0.775229:0.778717:0.775229:0.000000 :@0.790416:0.791059:0.805068:0.791059:0.805068:0.777685:0.790416:0.777685:0.000000 R:@0.808701:0.790490:0.822006:0.790490:0.822006:0.777628:0.808701:0.777628:0.000000 tales que + = .:@0.404240:0.840535:0.707454:0.840535:0.707454:0.824038:0.404240:0.824038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.471996:0.840651:0.479471:0.840651:0.479471:0.824182:0.471996:0.824182:0.000000 y:@0.560694:0.840651:0.568380:0.840651:0.568380:0.824182:0.560694:0.824182:0.000000 De las definiciones de producto de escalares por matrices, de la adición :@0.404240:0.878794:0.898321:0.878794:0.898321:0.862296:0.404240:0.862296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y de la igualdad de matrices se obtienen las equivalencias siguientes::@0.404240:0.896144:0.871201:0.896144:0.871201:0.879647:0.404240:0.879647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.404240:0.930962:0.411715:0.930962:0.411715:0.914493:0.404240:0.914493:0.000000 + = + = .:@0.411715:0.930846:0.894422:0.930852:0.894422:0.914354:0.411715:0.914348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.492283:0.930962:0.499969:0.930962:0.499969:0.914493:0.492283:0.914493:0.000000 ⇔:@0.643021:0.930208:0.662223:0.930208:0.662223:0.913265:0.643021:0.913265:0.000000 Recuerda que…:@0.199646:0.193908:0.309406:0.193908:0.309406:0.178436:0.199646:0.178436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La adición de matrices :@0.199884:0.222535:0.348694:0.222535:0.348694:0.207472:0.199884:0.207472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 hereda las propiedades de la :@0.153341:0.238377:0.340952:0.238377:0.340952:0.223314:0.153341:0.223314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 adición de números reales.:@0.153341:0.254219:0.325334:0.254219:0.325334:0.239156:0.153341:0.239156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Propiedades de la adición:@0.153341:0.277613:0.332808:0.277613:0.332808:0.262140:0.153341:0.262140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La operación adición “+” en :@0.153341:0.293032:0.336854:0.293032:0.336854:0.277969:0.153341:0.277969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.153341:0.308980:0.167289:0.308980:0.167289:0.293943:0.153341:0.293943:0.000000 2×2:@0.167295:0.311866:0.182093:0.311866:0.182093:0.303084:0.167295:0.303084:0.000000:0.000000:0.000000 [ ] satisface las siguientes :@0.182093:0.308873:0.353341:0.308873:0.353341:0.293810:0.182093:0.293810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.187440:0.307870:0.199535:0.307870:0.199535:0.296177:0.187440:0.296177:0.000000 propiedades::@0.153344:0.324715:0.236807:0.324715:0.236807:0.309652:0.153344:0.309652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i):@0.153344:0.347884:0.162966:0.347884:0.162966:0.332623:0.153344:0.332623:0.000000:0.000000 :@0.162966:0.347686:0.166747:0.347686:0.166747:0.332623:0.162966:0.332623:0.000000 Conmutativa:@0.172341:0.347884:0.261538:0.347884:0.261538:0.332623:0.172341:0.332623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para todo , :@0.153344:0.363528:0.286169:0.363527:0.286169:0.348463:0.153344:0.348465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B:@0.239676:0.363633:0.264654:0.363633:0.264654:0.348597:0.239676:0.348597:0.000000:0.000000:0.000000 :@0.268433:0.363178:0.282388:0.363178:0.282388:0.350441:0.268433:0.350441:0.000000 M:@0.286169:0.363632:0.300118:0.363632:0.300118:0.348596:0.286169:0.348596:0.000000 2×2:@0.300118:0.366520:0.314916:0.366520:0.314916:0.357738:0.300118:0.357738:0.000000:0.000000:0.000000 [ ],:@0.314916:0.363527:0.340221:0.363527:0.340221:0.348463:0.314916:0.348463:0.000000:0.000000:0.000000:0.000000 R:@0.320263:0.362524:0.332358:0.362524:0.332358:0.350831:0.320263:0.350831:0.000000 :@0.153345:0.379369:0.157127:0.379369:0.157127:0.364305:0.153345:0.364305:0.000000 A B B A:@0.172342:0.379474:0.261998:0.379474:0.261998:0.364437:0.172342:0.364437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + = + .:@0.182632:0.379369:0.264514:0.379369:0.264514:0.364305:0.182632:0.364305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ii):@0.153345:0.402537:0.166854:0.402537:0.166854:0.387276:0.153345:0.387276:0.000000:0.000000:0.000000 :@0.166854:0.402339:0.170636:0.402339:0.170636:0.387276:0.166854:0.387276:0.000000 Asociativa:@0.170636:0.402537:0.240537:0.402537:0.240537:0.387276:0.170636:0.387276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para todo , , :@0.153345:0.418181:0.301632:0.418181:0.301632:0.403118:0.153345:0.403118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B C:@0.239677:0.418287:0.280116:0.418287:0.280116:0.403250:0.239677:0.403250:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.283895:0.417833:0.297850:0.417833:0.297850:0.405096:0.283895:0.405096:0.000000 M:@0.301632:0.418287:0.315581:0.418287:0.315581:0.403250:0.301632:0.403250:0.000000 2×2:@0.315581:0.421173:0.330379:0.421173:0.330379:0.412391:0.315581:0.412391:0.000000:0.000000:0.000000 [ ], :@0.330378:0.418181:0.361399:0.418181:0.361399:0.403118:0.330378:0.403118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.335726:0.417179:0.347821:0.417179:0.347821:0.405486:0.335726:0.405486:0.000000 :@0.153344:0.434023:0.157126:0.434023:0.157126:0.418960:0.153344:0.418960:0.000000 A:@0.172341:0.434129:0.182631:0.434129:0.182631:0.419092:0.172341:0.419092:0.000000 + ( + ) = ( + ) + .:@0.182631:0.434023:0.339446:0.434023:0.339446:0.418960:0.182631:0.418960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B C:@0.205498:0.434129:0.240485:0.434129:0.240485:0.419092:0.205498:0.419092:0.000000:0.000000:0.000000 A B:@0.268787:0.434129:0.304899:0.434129:0.304899:0.419092:0.268787:0.419092:0.000000:0.000000:0.000000 C:@0.327767:0.434129:0.336931:0.434129:0.336931:0.419092:0.327767:0.419092:0.000000 iii):@0.153344:0.457192:0.170740:0.457192:0.170740:0.441931:0.153344:0.441931:0.000000:0.000000:0.000000:0.000000 :@0.170740:0.456994:0.174522:0.456994:0.174522:0.441931:0.170740:0.441931:0.000000 Existencia de elemento :@0.172341:0.457192:0.330493:0.457192:0.330493:0.441931:0.172341:0.441931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 neutro:@0.172341:0.473034:0.217970:0.473034:0.217970:0.457773:0.172341:0.457773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.217970:0.472836:0.229315:0.472836:0.229315:0.457773:0.217970:0.457773:0.000000:0.000000:0.000000 Existe 0 = (0) :@0.153344:0.488678:0.293175:0.488677:0.293175:0.473614:0.153344:0.473615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2×2:@0.256860:0.491669:0.271658:0.491669:0.271658:0.482887:0.256860:0.482887:0.000000:0.000000:0.000000 :@0.275439:0.488328:0.289393:0.488328:0.289393:0.475592:0.275439:0.475592:0.000000 M:@0.293175:0.488783:0.307124:0.488783:0.307124:0.473746:0.293175:0.473746:0.000000 2×2:@0.307124:0.491669:0.321922:0.491669:0.321922:0.482887:0.307124:0.482887:0.000000:0.000000:0.000000 [ ], :@0.321922:0.488677:0.351009:0.488677:0.351009:0.473614:0.321922:0.473614:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.327269:0.487674:0.339364:0.487674:0.339364:0.475981:0.327269:0.475981:0.000000 tal que para todo :@0.172347:0.504519:0.320944:0.504519:0.320944:0.489456:0.172347:0.489456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.289143:0.504625:0.299433:0.504625:0.299433:0.489588:0.289143:0.489588:0.000000 :@0.303207:0.504170:0.317162:0.504170:0.317162:0.491434:0.303207:0.491434:0.000000 M:@0.172344:0.520467:0.186293:0.520467:0.186293:0.505430:0.172344:0.505430:0.000000 2×2:@0.186289:0.523353:0.201087:0.523353:0.201087:0.514571:0.186289:0.514571:0.000000:0.000000:0.000000 [ ],:@0.201087:0.520361:0.226392:0.520361:0.226392:0.505298:0.201087:0.505298:0.000000:0.000000:0.000000:0.000000 R:@0.206434:0.519358:0.218529:0.519358:0.218529:0.507665:0.206434:0.507665:0.000000 :@0.153341:0.536203:0.157122:0.536203:0.157122:0.521140:0.153341:0.521140:0.000000 A:@0.172338:0.536309:0.182628:0.536309:0.182628:0.521272:0.172338:0.521272:0.000000 + 0 = 0 + = .:@0.182628:0.536203:0.290965:0.536203:0.290965:0.521140:0.182628:0.521140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A A:@0.250437:0.536309:0.288449:0.536309:0.288449:0.521272:0.250437:0.521272:0.000000:0.000000:0.000000 iv) :@0.153341:0.559372:0.174237:0.559372:0.174237:0.544111:0.153341:0.544111:0.000000:0.000000:0.000000:0.000000 Existencia de opuestos :@0.172338:0.559372:0.327834:0.559372:0.327834:0.544111:0.172338:0.544111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 aditivos.:@0.172338:0.575214:0.228256:0.575214:0.228256:0.559953:0.172338:0.559953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para cada :@0.153341:0.590858:0.270059:0.590857:0.270059:0.575794:0.153341:0.575795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.238248:0.590964:0.248538:0.590964:0.248538:0.575927:0.238248:0.575927:0.000000 :@0.252322:0.590508:0.266277:0.590508:0.266277:0.577771:0.252322:0.577771:0.000000 M:@0.270059:0.590962:0.284008:0.590962:0.284008:0.575926:0.270059:0.575926:0.000000 2×2:@0.284006:0.593850:0.298804:0.593850:0.298804:0.585068:0.284006:0.585068:0.000000:0.000000:0.000000 [ ], :@0.298805:0.590857:0.327890:0.590857:0.327890:0.575794:0.298805:0.575794:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.304151:0.589854:0.316246:0.589854:0.316246:0.578161:0.304151:0.578161:0.000000 existe :@0.172342:0.606699:0.242337:0.606699:0.242337:0.591636:0.172342:0.591636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.212428:0.606804:0.220818:0.606804:0.220818:0.591768:0.212428:0.591768:0.000000 :@0.224600:0.606350:0.238555:0.606350:0.238555:0.593613:0.224600:0.593613:0.000000 M:@0.242337:0.606804:0.256286:0.606804:0.256286:0.591768:0.242337:0.591768:0.000000 2×2:@0.256286:0.609692:0.271084:0.609692:0.271084:0.600910:0.256286:0.600910:0.000000:0.000000:0.000000 [ ], tal que :@0.271083:0.606699:0.348823:0.606699:0.348823:0.591636:0.271083:0.591636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.276430:0.605696:0.288526:0.605696:0.288526:0.594003:0.276430:0.594003:0.000000 A B:@0.172344:0.622646:0.208456:0.622646:0.208456:0.607610:0.172344:0.607610:0.000000:0.000000:0.000000 + = 0. :@0.182634:0.622541:0.243724:0.622541:0.243724:0.607478:0.182634:0.607478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Esta matriz está definida como:@0.153346:0.645512:0.352902:0.645512:0.352902:0.630448:0.153346:0.630448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.220822:0.661459:0.229212:0.661459:0.229212:0.646422:0.220822:0.646422:0.000000 = (– ):@0.229212:0.661354:0.279234:0.661352:0.279234:0.646289:0.229212:0.646290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.261666:0.661459:0.269863:0.661459:0.269863:0.646422:0.261666:0.646422:0.000000 ij:@0.269748:0.664407:0.273799:0.664407:0.273799:0.655640:0.269748:0.655640:0.000000:0.000000 2×2:@0.279233:0.664345:0.294031:0.664345:0.294031:0.655564:0.279233:0.655564:0.000000:0.000000:0.000000 Propiedades del producto de :@0.153346:0.700588:0.359917:0.700588:0.359917:0.685115:0.153346:0.685115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escalares por matrices:@0.153346:0.716430:0.308819:0.716430:0.308819:0.700957:0.153346:0.700957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean , , :@0.153346:0.731849:0.249813:0.731849:0.249813:0.716786:0.153346:0.716786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B C:@0.187857:0.731955:0.228297:0.731955:0.228297:0.716918:0.187857:0.716918:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.232078:0.731500:0.246033:0.731500:0.246033:0.718764:0.232078:0.718764:0.000000 M:@0.249813:0.731955:0.263762:0.731955:0.263762:0.716918:0.249813:0.716918:0.000000 2×2:@0.263762:0.734841:0.278560:0.734841:0.278560:0.726059:0.263762:0.726059:0.000000:0.000000:0.000000 [ ],:@0.278561:0.731849:0.303865:0.731849:0.303865:0.716786:0.278561:0.716786:0.000000:0.000000:0.000000:0.000000 R:@0.283907:0.730846:0.296002:0.730846:0.296002:0.719154:0.283907:0.719154:0.000000 α β:@0.153346:0.754061:0.177614:0.754061:0.177614:0.737653:0.153346:0.737653:0.000000:0.000000:0.000000 , . Entonces:@0.162484:0.747691:0.276876:0.747691:0.276876:0.732628:0.162484:0.732628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.181399:0.747342:0.195354:0.747342:0.195354:0.734606:0.181399:0.734606:0.000000 R:@0.199135:0.746688:0.211230:0.746688:0.211230:0.734996:0.199135:0.734996:0.000000 i):@0.153341:0.770860:0.162963:0.770860:0.162963:0.755599:0.153341:0.755599:0.000000:0.000000 (:@0.162963:0.770662:0.186915:0.770661:0.186915:0.755598:0.162963:0.755599:0.000000:0.000000:0.000000 α β:@0.172341:0.777030:0.195747:0.777030:0.195747:0.760622:0.172341:0.760622:0.000000:0.000000:0.000000 A:@0.195749:0.770766:0.206039:0.770766:0.206039:0.755730:0.195749:0.755730:0.000000 ) = :@0.206039:0.770661:0.228906:0.770661:0.228906:0.755598:0.206039:0.755598:0.000000:0.000000:0.000000:0.000000 αβ:@0.228907:0.777030:0.246875:0.777030:0.246875:0.760622:0.228907:0.760622:0.000000:0.000000 A:@0.246881:0.770766:0.257171:0.770766:0.257171:0.755730:0.246881:0.755730:0.000000 . :@0.257171:0.770661:0.271032:0.770661:0.271032:0.755598:0.257171:0.755598:0.000000:0.000000:0.000000:0.000000 ii):@0.153355:0.793830:0.166864:0.793830:0.166864:0.778569:0.153355:0.778569:0.000000:0.000000:0.000000 ( + ) = :@0.166864:0.793632:0.246339:0.793630:0.246339:0.778567:0.166864:0.778569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 α:@0.177776:0.800000:0.186911:0.800000:0.186911:0.783592:0.177776:0.783592:0.000000 β:@0.204347:0.800000:0.213179:0.800000:0.213179:0.783592:0.204347:0.783592:0.000000 A:@0.218617:0.793736:0.228907:0.793736:0.228907:0.778699:0.218617:0.778699:0.000000 α:@0.246338:0.800000:0.255473:0.800000:0.255473:0.783592:0.246338:0.783592:0.000000 A:@0.255477:0.793736:0.265767:0.793736:0.265767:0.778699:0.255477:0.778699:0.000000 + :@0.265767:0.793630:0.283198:0.793630:0.283198:0.778567:0.265767:0.778567:0.000000:0.000000:0.000000 β:@0.283198:0.800000:0.292031:0.800000:0.292031:0.783592:0.283198:0.783592:0.000000 A:@0.292034:0.793736:0.302324:0.793736:0.302324:0.778699:0.292034:0.778699:0.000000 .:@0.302324:0.793630:0.304839:0.793630:0.304839:0.778567:0.302324:0.778567:0.000000 iii):@0.153354:0.816799:0.170750:0.816799:0.170750:0.801538:0.153354:0.801538:0.000000:0.000000:0.000000:0.000000 ( + ) = :@0.170750:0.816601:0.245894:0.816601:0.245894:0.801538:0.170750:0.801538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 α:@0.172341:0.822971:0.181476:0.822971:0.181476:0.806563:0.172341:0.806563:0.000000 A B:@0.186915:0.816707:0.223027:0.816707:0.223027:0.801670:0.186915:0.801670:0.000000:0.000000:0.000000 α:@0.245893:0.822971:0.255028:0.822971:0.255028:0.806563:0.245893:0.806563:0.000000 A:@0.255031:0.816707:0.265321:0.816707:0.265321:0.801670:0.255031:0.801670:0.000000 + .:@0.265321:0.816601:0.302797:0.816601:0.302797:0.801538:0.265321:0.801538:0.000000:0.000000:0.000000:0.000000:0.000000 α:@0.282753:0.822971:0.291888:0.822971:0.291888:0.806563:0.282753:0.806563:0.000000 B:@0.291891:0.816707:0.300282:0.816707:0.300282:0.801670:0.291891:0.801670:0.000000 iv):@0.153352:0.839770:0.170520:0.839770:0.170520:0.824509:0.153352:0.824509:0.000000:0.000000:0.000000 1 = .:@0.170520:0.839572:0.220634:0.839572:0.220634:0.824509:0.170520:0.824509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A A:@0.180107:0.839678:0.218119:0.839678:0.218119:0.824641:0.180107:0.824641:0.000000:0.000000:0.000000 M:@0.153352:0.862649:0.167301:0.862649:0.167301:0.847612:0.153352:0.847612:0.000000 2×2:@0.167295:0.865534:0.182093:0.865534:0.182093:0.856752:0.167295:0.856752:0.000000:0.000000:0.000000 [ ] es un espacio vectorial :@0.182093:0.862541:0.358653:0.862541:0.358653:0.847477:0.182093:0.847477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.187440:0.861538:0.199535:0.861538:0.199535:0.849845:0.187440:0.849845:0.000000 real.:@0.153344:0.885511:0.178709:0.885511:0.178709:0.870448:0.153344:0.870448:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.471499:0.136083:0.480476:0.136083:0.480476:0.119615:0.471499:0.119615:0.000000 11:@0.480476:0.139244:0.490383:0.139244:0.490383:0.129626:0.480476:0.129626:0.000000:0.000000 a:@0.505017:0.136083:0.513995:0.136083:0.513995:0.119615:0.505017:0.119615:0.000000 12:@0.513995:0.139244:0.523901:0.139244:0.523901:0.129626:0.513995:0.129626:0.000000:0.000000 a:@0.471499:0.157466:0.480476:0.157466:0.480476:0.140998:0.471499:0.140998:0.000000 21:@0.480476:0.160628:0.490383:0.160628:0.490383:0.151010:0.480476:0.151010:0.000000:0.000000 a:@0.505017:0.157466:0.513995:0.157466:0.513995:0.140998:0.505017:0.140998:0.000000 22:@0.513995:0.160628:0.523901:0.160628:0.523901:0.151010:0.513995:0.151010:0.000000:0.000000 a:@0.494932:0.256902:0.503910:0.256902:0.503910:0.240434:0.494932:0.240434:0.000000 11:@0.503910:0.260065:0.513816:0.260065:0.513816:0.250447:0.503910:0.250447:0.000000:0.000000 a:@0.528450:0.256902:0.537428:0.256902:0.537428:0.240434:0.528450:0.240434:0.000000 12:@0.537428:0.260065:0.547334:0.260065:0.547334:0.250447:0.537428:0.250447:0.000000:0.000000 a:@0.494932:0.278287:0.503910:0.278287:0.503910:0.261818:0.494932:0.261818:0.000000 21:@0.503910:0.281448:0.513816:0.281448:0.513816:0.271829:0.503910:0.271829:0.000000:0.000000 a:@0.528450:0.278287:0.537428:0.278287:0.537428:0.261818:0.528450:0.261818:0.000000 22:@0.537428:0.281448:0.547334:0.281448:0.547334:0.271829:0.537428:0.271829:0.000000:0.000000 a:@0.796502:0.256902:0.805480:0.256902:0.805480:0.240434:0.796502:0.240434:0.000000 11:@0.805480:0.260065:0.815386:0.260065:0.815386:0.250447:0.805480:0.250447:0.000000:0.000000 a:@0.830020:0.256902:0.838998:0.256902:0.838998:0.240434:0.830020:0.240434:0.000000 12:@0.838996:0.260065:0.848902:0.260065:0.848902:0.250447:0.838996:0.250447:0.000000:0.000000 a:@0.796502:0.278287:0.805480:0.278287:0.805480:0.261818:0.796502:0.261818:0.000000 21:@0.805480:0.281448:0.815386:0.281448:0.815386:0.271829:0.805480:0.271829:0.000000:0.000000 a:@0.830020:0.278287:0.838998:0.278287:0.838998:0.261818:0.830020:0.261818:0.000000 22:@0.838996:0.281448:0.848902:0.281448:0.848902:0.271829:0.838996:0.271829:0.000000:0.000000 a:@0.651247:0.256902:0.660225:0.256902:0.660225:0.240434:0.651247:0.240434:0.000000 11:@0.660225:0.260065:0.670131:0.260065:0.670131:0.250447:0.660225:0.250447:0.000000:0.000000 + 0:@0.670132:0.256787:0.697720:0.256787:0.697720:0.240289:0.670132:0.240289:0.000000:0.000000:0.000000:0.000000 a:@0.715636:0.256902:0.724614:0.256902:0.724614:0.240434:0.715636:0.240434:0.000000 12:@0.724609:0.260065:0.734515:0.260065:0.734515:0.250447:0.724609:0.250447:0.000000:0.000000 + 0:@0.734516:0.256787:0.762104:0.256787:0.762104:0.240289:0.734516:0.240289:0.000000:0.000000:0.000000:0.000000 a:@0.651252:0.278287:0.660230:0.278287:0.660230:0.261818:0.651252:0.261818:0.000000 21:@0.660225:0.281448:0.670131:0.281448:0.670131:0.271829:0.660225:0.271829:0.000000:0.000000 + 0:@0.670132:0.278171:0.697720:0.278171:0.697720:0.261673:0.670132:0.261673:0.000000:0.000000:0.000000:0.000000 a:@0.715636:0.278287:0.724614:0.278287:0.724614:0.261818:0.715636:0.261818:0.000000 22:@0.724609:0.281448:0.734515:0.281448:0.734515:0.271829:0.724609:0.271829:0.000000:0.000000 + 0:@0.734516:0.278171:0.762104:0.278171:0.762104:0.261673:0.734516:0.261673:0.000000:0.000000:0.000000:0.000000 0:@0.757988:0.173616:0.766484:0.173616:0.766484:0.157119:0.757988:0.157119:0.000000 0:@0.786751:0.173616:0.795247:0.173616:0.795247:0.157119:0.786751:0.157119:0.000000 0:@0.757988:0.195001:0.766484:0.195001:0.766484:0.178503:0.757988:0.178503:0.000000 0:@0.786751:0.195001:0.795247:0.195001:0.795247:0.178503:0.786751:0.178503:0.000000 0 0:@0.582490:0.256787:0.615010:0.256787:0.615010:0.240289:0.582490:0.240289:0.000000:0.000000:0.000000 0 0:@0.582490:0.278172:0.615010:0.278172:0.615010:0.261674:0.582490:0.261674:0.000000:0.000000:0.000000 2:@0.509435:0.428796:0.517931:0.428796:0.517931:0.412298:0.509435:0.412298:0.000000 8:@0.538198:0.428796:0.546694:0.428796:0.546694:0.412298:0.538198:0.412298:0.000000 –1 4:@0.504175:0.450180:0.546694:0.450180:0.546694:0.433683:0.504175:0.433683:0.000000:0.000000:0.000000:0.000000 1 2:@0.482631:0.780269:0.517520:0.780269:0.517520:0.763771:0.482631:0.763771:0.000000:0.000000:0.000000 –1 3:@0.477371:0.801654:0.517520:0.801654:0.517520:0.785156:0.477371:0.785156:0.000000:0.000000:0.000000:0.000000 1 2:@0.496719:0.830581:0.531609:0.830581:0.531609:0.814084:0.496719:0.814084:0.000000:0.000000:0.000000 –1 3:@0.491460:0.851966:0.531609:0.851966:0.531609:0.835468:0.491460:0.835468:0.000000:0.000000:0.000000:0.000000 1:@0.426033:0.920434:0.434529:0.920434:0.434529:0.903936:0.426033:0.903936:0.000000 2:@0.454796:0.920434:0.463292:0.920434:0.463292:0.903936:0.454796:0.903936:0.000000 –1 3:@0.420773:0.941819:0.463292:0.941819:0.463292:0.925321:0.420773:0.925321:0.000000:0.000000:0.000000:0.000000 x:@0.678408:0.920550:0.685883:0.920550:0.685883:0.904081:0.678408:0.904081:0.000000 2:@0.702932:0.920434:0.711428:0.920434:0.711428:0.903936:0.702932:0.903936:0.000000 x:@0.711428:0.920550:0.718903:0.920550:0.718903:0.904081:0.711428:0.904081:0.000000 –:@0.673167:0.941819:0.683667:0.941819:0.683667:0.925321:0.673167:0.925321:0.000000 x:@0.683667:0.941934:0.691142:0.941934:0.691142:0.925466:0.683667:0.925466:0.000000 3:@0.702932:0.941819:0.711428:0.941819:0.711428:0.925321:0.702932:0.925321:0.000000 x:@0.711428:0.941934:0.718903:0.941934:0.718903:0.925466:0.711428:0.925466:0.000000 0 –:@0.752359:0.920434:0.790350:0.920434:0.790350:0.903936:0.752359:0.903936:0.000000:0.000000:0.000000 y:@0.790350:0.920550:0.798037:0.920550:0.798037:0.904081:0.790350:0.904081:0.000000 3 –5:@0.748526:0.941819:0.794608:0.941819:0.794608:0.925321:0.748526:0.925321:0.000000:0.000000:0.000000:0.000000 y:@0.757022:0.941934:0.764708:0.941934:0.764708:0.925466:0.757022:0.925466:0.000000 y:@0.794608:0.941934:0.802295:0.941934:0.802295:0.925466:0.794608:0.925466:0.000000 0 –1:@0.573765:0.780269:0.613914:0.780269:0.613914:0.763771:0.573765:0.763771:0.000000:0.000000:0.000000:0.000000 3 –5:@0.573765:0.801654:0.613914:0.801654:0.613914:0.785156:0.573765:0.785156:0.000000:0.000000:0.000000:0.000000 0 –1:@0.582490:0.830581:0.622639:0.830581:0.622639:0.814084:0.582490:0.814084:0.000000:0.000000:0.000000:0.000000 3 –5:@0.582490:0.851966:0.622639:0.851966:0.622639:0.835468:0.582490:0.835468:0.000000:0.000000:0.000000:0.000000 0 –1:@0.513896:0.920434:0.556414:0.920434:0.556414:0.903936:0.513896:0.903936:0.000000:0.000000:0.000000:0.000000 3 –5:@0.513896:0.941819:0.556414:0.941819:0.556414:0.925321:0.513896:0.925321:0.000000:0.000000:0.000000:0.000000 3 4:@0.670623:0.780269:0.705512:0.780269:0.705512:0.763771:0.670623:0.763771:0.000000:0.000000:0.000000 3 –1:@0.670623:0.801654:0.710772:0.801654:0.710772:0.785156:0.670623:0.785156:0.000000:0.000000:0.000000:0.000000 3 4:@0.654619:0.830581:0.689509:0.830581:0.689509:0.814084:0.654619:0.814084:0.000000:0.000000:0.000000 3 –1:@0.654619:0.851966:0.694768:0.851966:0.694768:0.835468:0.654619:0.835468:0.000000:0.000000:0.000000:0.000000 3:@0.591709:0.920434:0.600205:0.920434:0.600205:0.903936:0.591709:0.903936:0.000000 4:@0.620472:0.920434:0.628968:0.920434:0.628968:0.903936:0.620472:0.903936:0.000000 3 –1:@0.591709:0.941819:0.634227:0.941819:0.634227:0.925321:0.591709:0.925321:0.000000:0.000000:0.000000:0.000000 3:@0.840368:0.920434:0.848864:0.920434:0.848864:0.903936:0.840368:0.903936:0.000000 4:@0.869131:0.920434:0.877627:0.920434:0.877627:0.903936:0.869131:0.903936:0.000000 3 –1:@0.840368:0.941819:0.882887:0.941819:0.882887:0.925321:0.840368:0.925321:0.000000:0.000000:0.000000:0.000000 5 –2:@0.603859:0.428796:0.646378:0.428796:0.646378:0.412298:0.603859:0.412298:0.000000:0.000000:0.000000:0.000000 –3 –1:@0.598619:0.450180:0.646378:0.450180:0.646378:0.433683:0.598619:0.433683:0.000000:0.000000:0.000000:0.000000:0.000000 –5 2:@0.780292:0.428796:0.822811:0.428796:0.822811:0.412298:0.780292:0.412298:0.000000:0.000000:0.000000:0.000000 3:@0.785552:0.450180:0.794048:0.450180:0.794048:0.433683:0.785552:0.433683:0.000000 1:@0.814315:0.450180:0.822811:0.450180:0.822811:0.433683:0.814315:0.433683:0.000000 2 8:@0.572594:0.484744:0.607484:0.484744:0.607484:0.468247:0.572594:0.468247:0.000000:0.000000:0.000000 –1 4:@0.567335:0.506129:0.607484:0.506129:0.607484:0.489631:0.567335:0.489631:0.000000:0.000000:0.000000:0.000000 –5 2:@0.637686:0.484744:0.677835:0.484744:0.677835:0.468247:0.637686:0.468247:0.000000:0.000000:0.000000:0.000000 3 1:@0.642945:0.506129:0.677835:0.506129:0.677835:0.489631:0.642945:0.489631:0.000000:0.000000:0.000000 –3 10:@0.833679:0.484744:0.879260:0.484744:0.879260:0.468247:0.833679:0.468247:0.000000:0.000000:0.000000:0.000000:0.000000 2 5:@0.838938:0.506129:0.875022:0.506129:0.875022:0.489631:0.838938:0.489631:0.000000:0.000000:0.000000 2 – 5 8 + 2:@0.714372:0.484744:0.802818:0.484744:0.802818:0.468247:0.714372:0.468247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –1 + 3 4 + 1:@0.710904:0.506129:0.802818:0.506129:0.802818:0.489631:0.710904:0.489631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.488363:0.707522:0.497341:0.707522:0.497341:0.691053:0.488363:0.691053:0.000000 11:@0.497341:0.710683:0.507247:0.710683:0.507247:0.701064:0.497341:0.701064:0.000000:0.000000 a:@0.521882:0.707522:0.530859:0.707522:0.530859:0.691053:0.521882:0.691053:0.000000 12:@0.530857:0.710683:0.540764:0.710683:0.540764:0.701064:0.530857:0.701064:0.000000:0.000000 a:@0.488363:0.728906:0.497341:0.728906:0.497341:0.712437:0.488363:0.712437:0.000000 21:@0.497341:0.732067:0.507247:0.732067:0.507247:0.722449:0.497341:0.722449:0.000000:0.000000 a:@0.521882:0.728906:0.530859:0.728906:0.530859:0.712437:0.521882:0.712437:0.000000 22:@0.530857:0.732067:0.540764:0.732067:0.540764:0.722449:0.530857:0.722449:0.000000:0.000000 λ:@0.676216:0.714480:0.684800:0.714480:0.684800:0.696344:0.676216:0.696344:0.000000 a:@0.684797:0.707522:0.693775:0.707522:0.693775:0.691053:0.684797:0.691053:0.000000 11:@0.693775:0.710683:0.703681:0.710683:0.703681:0.701064:0.693775:0.701064:0.000000:0.000000 λ:@0.719232:0.714480:0.727815:0.714480:0.727815:0.696344:0.719232:0.696344:0.000000 a:@0.727812:0.707522:0.736790:0.707522:0.736790:0.691053:0.727812:0.691053:0.000000 12:@0.736790:0.710683:0.746696:0.710683:0.746696:0.701064:0.736790:0.701064:0.000000:0.000000 λ:@0.676216:0.735864:0.684800:0.735864:0.684800:0.717729:0.676216:0.717729:0.000000 a:@0.684797:0.728906:0.693775:0.728906:0.693775:0.712437:0.684797:0.712437:0.000000 21:@0.693775:0.732067:0.703681:0.732067:0.703681:0.722449:0.693775:0.722449:0.000000:0.000000 λ:@0.719232:0.735864:0.727815:0.735864:0.727815:0.717729:0.719232:0.717729:0.000000 a:@0.727812:0.728906:0.736790:0.728906:0.736790:0.712437:0.727812:0.712437:0.000000 22:@0.736790:0.732067:0.746696:0.732067:0.746696:0.722449:0.736790:0.722449:0.000000:0.000000