92:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Sistemas de ecuaciones:@0.073089:0.043661:0.293032:0.043661:0.293032:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Compruebo mis aprendizajes :@0.161804:0.097463:0.577714:0.097463:0.577714:0.069346:0.161804:0.069346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Con las matrices :@0.073089:0.152345:0.225886:0.152345:0.225886:0.135911:0.073089:0.135911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.270084:0.142723:0.278250:0.142723:0.278250:0.127783:0.270084:0.127783:0.000000
–1:@0.303886:0.142723:0.320352:0.142723:0.320352:0.127783:0.303886:0.127783:0.000000:0.000000
–2:@0.265934:0.164168:0.282400:0.164168:0.282400:0.149228:0.265934:0.149228:0.000000:0.000000
–3:@0.303886:0.164168:0.320352:0.164168:0.320352:0.149228:0.303886:0.149228:0.000000:0.000000
N:@0.225709:0.152099:0.235933:0.152099:0.235933:0.137184:0.225709:0.137184:0.000000
 =:@0.235873:0.152099:0.249444:0.152099:0.249444:0.137159:0.235873:0.137159:0.000000:0.000000
,  :@0.328001:0.152345:0.339119:0.152345:0.339119:0.135911:0.328001:0.135911:0.000000:0.000000:0.000000
1:@0.379354:0.141569:0.387520:0.141569:0.387520:0.126629:0.379354:0.126629:0.000000
2:@0.408086:0.141569:0.416252:0.141569:0.416252:0.126629:0.408086:0.126629:0.000000
3:@0.379354:0.163014:0.387520:0.163014:0.387520:0.148075:0.379354:0.148075:0.000000
4:@0.408086:0.163014:0.416252:0.163014:0.416252:0.148075:0.408086:0.148075:0.000000
P:@0.339024:0.150945:0.346989:0.150945:0.346989:0.136031:0.339024:0.136031:0.000000
 =:@0.346929:0.150945:0.360500:0.150945:0.360500:0.136005:0.346929:0.136005:0.000000:0.000000
 :@0.425495:0.152345:0.429526:0.152345:0.429526:0.135911:0.425495:0.135911:0.000000
1:@0.147585:0.185747:0.155751:0.185747:0.155751:0.170807:0.147585:0.170807:0.000000
–2:@0.181388:0.185747:0.197854:0.185747:0.197854:0.170807:0.181388:0.170807:0.000000:0.000000
3:@0.147585:0.207192:0.155751:0.207192:0.155751:0.192252:0.147585:0.192252:0.000000
–4:@0.181388:0.207192:0.197854:0.207192:0.197854:0.192252:0.181388:0.192252:0.000000:0.000000
Q:@0.103210:0.195123:0.114003:0.195123:0.114003:0.180208:0.103210:0.180208:0.000000
 =:@0.113943:0.195123:0.127514:0.195123:0.127514:0.180183:0.113943:0.180183:0.000000:0.000000
, :@0.205503:0.192688:0.212737:0.192688:0.212737:0.176255:0.205503:0.176255:0.000000:0.000000
Verifica la igualdad que se propone en cada caso. Para :@0.103214:0.239965:0.489816:0.239965:0.489816:0.223531:0.103214:0.223531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el efecto, calcula el lado izquierdo de la igualdad, :@0.103214:0.256607:0.489755:0.256607:0.489755:0.240173:0.103214:0.240173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego, el lado derecho, y finalmente compara los :@0.103214:0.272999:0.489744:0.272999:0.489744:0.256565:0.103214:0.256565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultados.:@0.103214:0.289391:0.180878:0.289391:0.180878:0.272958:0.103214:0.272958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  –(:@0.099889:0.323903:0.144099:0.323903:0.144099:0.307469:0.099889:0.307469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N + P + Q:@0.144007:0.323903:0.210494:0.323903:0.210494:0.307497:0.144007:0.307497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) = :@0.210494:0.323903:0.234184:0.323903:0.234184:0.307469:0.210494:0.307469:0.000000:0.000000:0.000000:0.000000
–N – P – Q.:@0.234074:0.323903:0.308870:0.323903:0.308870:0.307497:0.234074:0.307497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b. :@0.099889:0.365562:0.116787:0.365562:0.116787:0.349128:0.099889:0.349128:0.000000:0.000000:0.000000
N  P – Q:@0.130091:0.365562:0.198566:0.365562:0.198566:0.349156:0.130091:0.349156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– (:@0.144522:0.365562:0.162488:0.365562:0.162488:0.349128:0.144522:0.349128:0.000000:0.000000:0.000000
) = :@0.198529:0.365562:0.222219:0.365562:0.222219:0.349128:0.198529:0.349128:0.000000:0.000000:0.000000:0.000000
N – P + Q.:@0.222109:0.365562:0.289542:0.365562:0.289542:0.349156:0.222109:0.349156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c. :@0.099889:0.407219:0.114965:0.407219:0.114965:0.390786:0.099889:0.390786:0.000000:0.000000:0.000000
–N – –P – Q:@0.130091:0.407219:0.216844:0.407219:0.216844:0.390813:0.130091:0.390813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (:@0.162801:0.407219:0.171636:0.407219:0.171636:0.390786:0.162801:0.390786:0.000000:0.000000
) = P + Q – N.:@0.216807:0.407219:0.312599:0.407219:0.312599:0.390786:0.216807:0.390786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Dadas las siguientes matrices, verifica que se cumple :@0.073089:0.445304:0.490047:0.445304:0.490047:0.428870:0.073089:0.428870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la propiedad conmutativa para la suma.:@0.103217:0.461946:0.390215:0.461946:0.390215:0.445512:0.103217:0.445512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–7:@0.145810:0.492361:0.162276:0.492361:0.162276:0.477421:0.145810:0.477421:0.000000:0.000000
–1:@0.231186:0.492361:0.247652:0.492361:0.247652:0.477421:0.231186:0.477421:0.000000:0.000000
4:@0.149943:0.524523:0.158109:0.524523:0.158109:0.509583:0.149943:0.509583:0.000000
–2:@0.188481:0.524523:0.204947:0.524523:0.204947:0.509583:0.188481:0.509583:0.000000:0.000000
–:@0.225178:0.524523:0.233545:0.524523:0.233545:0.509583:0.225178:0.509583:0.000000
6:@0.149943:0.556684:0.158109:0.556684:0.158109:0.541745:0.149943:0.541745:0.000000
–3:@0.188481:0.556684:0.204947:0.556684:0.204947:0.541745:0.188481:0.541745:0.000000:0.000000
8:@0.319859:0.492361:0.328025:0.492361:0.328025:0.477421:0.319859:0.477421:0.000000
–9:@0.358397:0.492361:0.374863:0.492361:0.374863:0.477421:0.358397:0.477421:0.000000:0.000000
–:@0.395094:0.492361:0.403461:0.492361:0.403461:0.477421:0.395094:0.477421:0.000000
–:@0.309718:0.524523:0.318085:0.524523:0.318085:0.509583:0.309718:0.509583:0.000000
–5:@0.358413:0.524523:0.374880:0.524523:0.374880:0.509583:0.358413:0.509583:0.000000:0.000000
–1 .:@0.401102:0.524523:0.436343:0.523300:0.436343:0.508360:0.401102:0.509583:0.000000:0.000000:0.000000:0.000000
0:@0.319859:0.556684:0.328025:0.556684:0.328025:0.541745:0.319859:0.541745:0.000000
2:@0.362547:0.556684:0.370713:0.556684:0.370713:0.541745:0.362547:0.541745:0.000000
A =:@0.103189:0.523413:0.125026:0.523413:0.125026:0.508499:0.103189:0.508499:0.000000:0.000000:0.000000
B:@0.273121:0.523413:0.281153:0.523413:0.281153:0.508499:0.273121:0.508499:0.000000
 =:@0.281086:0.523413:0.294657:0.523413:0.294657:0.508474:0.281086:0.508474:0.000000:0.000000
;:@0.263148:0.523413:0.266059:0.523413:0.266059:0.508474:0.263148:0.508474:0.000000
1:@0.192782:0.483600:0.200948:0.483600:0.200948:0.468661:0.192782:0.468661:0.000000
3:@0.192782:0.499990:0.200948:0.499990:0.200948:0.485050:0.192782:0.485050:0.000000
3:@0.410521:0.483483:0.418687:0.483483:0.418687:0.468543:0.410521:0.468543:0.000000
4:@0.410521:0.499873:0.418687:0.499873:0.418687:0.484933:0.410521:0.484933:0.000000
4:@0.235065:0.548273:0.243231:0.548273:0.243231:0.533333:0.235065:0.533333:0.000000
3:@0.235065:0.564662:0.243231:0.564662:0.243231:0.549723:0.235065:0.549723:0.000000
1:@0.405079:0.548156:0.413245:0.548156:0.413245:0.533216:0.405079:0.533216:0.000000
2:@0.405079:0.564545:0.413245:0.564545:0.413245:0.549605:0.405079:0.549605:0.000000
2:@0.241286:0.516210:0.249453:0.516210:0.249453:0.501270:0.241286:0.501270:0.000000
3:@0.241286:0.532599:0.249453:0.532599:0.249453:0.517659:0.241286:0.517659:0.000000
3:@0.325322:0.516210:0.333488:0.516210:0.333488:0.501270:0.325322:0.501270:0.000000
2:@0.325322:0.532599:0.333488:0.532599:0.333488:0.517659:0.325322:0.517659:0.000000
3.  Determina si :@0.073089:0.662397:0.199237:0.662397:0.199237:0.645963:0.073089:0.645963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A · B = B · A:@0.199093:0.662397:0.273164:0.662397:0.273164:0.645991:0.199093:0.645991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para las matrices dadas.:@0.273182:0.662397:0.448092:0.662397:0.448092:0.645963:0.273182:0.645963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.148800:0.690774:0.156966:0.690774:0.156966:0.675834:0.148800:0.675834:0.000000
–3:@0.182602:0.690774:0.199069:0.690774:0.199069:0.675834:0.182602:0.675834:0.000000:0.000000
–2:@0.220555:0.690774:0.237021:0.690774:0.237021:0.675834:0.220555:0.675834:0.000000:0.000000
2:@0.148800:0.712219:0.156966:0.712219:0.156966:0.697279:0.148800:0.697279:0.000000
–2:@0.182602:0.712219:0.199069:0.712219:0.199069:0.697279:0.182602:0.697279:0.000000:0.000000
0:@0.224705:0.712219:0.232871:0.712219:0.232871:0.697279:0.224705:0.697279:0.000000
3:@0.148817:0.733664:0.156983:0.733664:0.156983:0.718724:0.148817:0.718724:0.000000
–1:@0.182619:0.733664:0.199085:0.733664:0.199085:0.718724:0.182619:0.718724:0.000000:0.000000
–3:@0.220572:0.733664:0.237038:0.733664:0.237038:0.718724:0.220572:0.718724:0.000000:0.000000
A =:@0.104425:0.712550:0.128446:0.712550:0.128446:0.696144:0.104425:0.696144:0.000000:0.000000:0.000000
–3:@0.143439:0.758377:0.159905:0.758377:0.159905:0.743437:0.143439:0.743437:0.000000:0.000000
0:@0.185541:0.758377:0.193707:0.758377:0.193707:0.743437:0.185541:0.743437:0.000000
5:@0.223493:0.758377:0.231659:0.758377:0.231659:0.743437:0.223493:0.743437:0.000000
1:@0.147605:0.779822:0.155771:0.779822:0.155771:0.764883:0.147605:0.764883:0.000000
–4:@0.181408:0.779822:0.197874:0.779822:0.197874:0.764883:0.181408:0.764883:0.000000:0.000000
4:@0.223510:0.779822:0.231676:0.779822:0.231676:0.764883:0.223510:0.764883:0.000000
2:@0.147622:0.801268:0.155788:0.801268:0.155788:0.786328:0.147622:0.786328:0.000000
–2:@0.181424:0.801268:0.197891:0.801268:0.197891:0.786328:0.181424:0.786328:0.000000:0.000000
–6:@0.219377:0.801268:0.235843:0.801268:0.235843:0.786328:0.219377:0.786328:0.000000:0.000000
B =:@0.103210:0.780154:0.126182:0.780154:0.126182:0.763748:0.103210:0.763748:0.000000:0.000000:0.000000
;:@0.249663:0.712550:0.252995:0.712550:0.252995:0.696144:0.249663:0.696144:0.000000
.:@0.256153:0.777084:0.259065:0.777084:0.259065:0.762144:0.256153:0.762144:0.000000
4.  Con las matrices  :@0.073089:0.845394:0.229539:0.845394:0.229539:0.828960:0.073089:0.828960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.221679:0.845394:0.225581:0.845394:0.225581:0.828724:0.221679:0.828724:0.000000
0:@0.270211:0.835019:0.278377:0.835019:0.278377:0.820079:0.270211:0.820079:0.000000
–1:@0.304013:0.835019:0.320479:0.835019:0.320479:0.820079:0.304013:0.820079:0.000000:0.000000
2:@0.270211:0.856464:0.278377:0.856464:0.278377:0.841525:0.270211:0.841525:0.000000
1:@0.308163:0.856464:0.316329:0.856464:0.316329:0.841525:0.308163:0.841525:0.000000
A =:@0.229451:0.844395:0.251288:0.844395:0.251288:0.829481:0.229451:0.829481:0.000000:0.000000:0.000000
 ,  :@0.330257:0.845394:0.345333:0.845394:0.345333:0.828960:0.330257:0.828960:0.000000:0.000000:0.000000:0.000000
1:@0.383625:0.838191:0.391791:0.838191:0.391791:0.823251:0.383625:0.823251:0.000000
3:@0.414733:0.838191:0.422899:0.838191:0.422899:0.823251:0.414733:0.823251:0.000000
–2:@0.379475:0.859636:0.395941:0.859636:0.395941:0.844697:0.379475:0.844697:0.000000:0.000000
0:@0.414733:0.859636:0.422899:0.859636:0.422899:0.844697:0.414733:0.844697:0.000000
B:@0.345231:0.847567:0.353263:0.847567:0.353263:0.832653:0.345231:0.832653:0.000000
 =:@0.353203:0.847567:0.366774:0.847567:0.366774:0.832628:0.353203:0.832628:0.000000:0.000000
, :@0.435714:0.845394:0.442874:0.845394:0.442874:0.828960:0.435714:0.828960:0.000000:0.000000
y los:@0.442782:0.845394:0.476781:0.845394:0.476781:0.828724:0.442782:0.828724:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.476786:0.845079:0.480333:0.845079:0.480333:0.829924:0.476786:0.829924:0.000000
escalares   = –3,   = 4,   = –2, comprueba que:@0.103210:0.883216:0.436467:0.883216:0.436467:0.866782:0.103210:0.866782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( A –  B) = ( )A – ( )B.:@0.111034:0.900866:0.283957:0.900866:0.283957:0.884432:0.111034:0.884432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. :@0.541032:0.201164:0.556476:0.201164:0.556476:0.184731:0.541032:0.184731:0.000000:0.000000:0.000000
A:@0.571233:0.201164:0.581118:0.201164:0.581118:0.184758:0.571233:0.184758:0.000000
 =                     ,    =              ,    = –             .:@0.581044:0.201164:0.872229:0.201164:0.872229:0.184731:0.581044:0.184731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.689868:0.201164:0.698703:0.201164:0.698703:0.184758:0.689868:0.184758:0.000000
C:@0.779806:0.201164:0.789709:0.201164:0.789709:0.184758:0.779806:0.184758:0.000000
b. :@0.541032:0.277690:0.557930:0.277690:0.557930:0.261257:0.541032:0.261257:0.000000:0.000000:0.000000
A:@0.571233:0.277690:0.581118:0.277690:0.581118:0.261284:0.571233:0.261284:0.000000
 =                     ,    =                      ,:@0.581044:0.277690:0.803754:0.277690:0.803754:0.261257:0.581044:0.261257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.689868:0.277690:0.698703:0.277690:0.698703:0.261284:0.689868:0.261284:0.000000
6.  Sean   :@0.514231:0.416804:0.591780:0.416804:0.591780:0.400370:0.514231:0.400370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.636038:0.406028:0.644205:0.406028:0.644205:0.391088:0.636038:0.391088:0.000000
5:@0.669523:0.406028:0.677689:0.406028:0.677689:0.391088:0.669523:0.391088:0.000000
1:@0.636038:0.427473:0.644205:0.427473:0.644205:0.412533:0.636038:0.412533:0.000000
4:@0.669523:0.427473:0.677689:0.427473:0.677689:0.412533:0.669523:0.412533:0.000000
A:@0.591664:0.415404:0.600650:0.415404:0.600650:0.400490:0.591664:0.400490:0.000000
 =:@0.600589:0.415404:0.614161:0.415404:0.614161:0.400464:0.600589:0.400464:0.000000:0.000000
 ,  :@0.689212:0.416804:0.704287:0.416804:0.704287:0.400370:0.689212:0.400370:0.000000:0.000000:0.000000:0.000000
2:@0.746889:0.406028:0.755055:0.406028:0.755055:0.391088:0.746889:0.391088:0.000000
8:@0.780373:0.406028:0.788539:0.406028:0.788539:0.391088:0.780373:0.391088:0.000000
–5:@0.742739:0.427473:0.759205:0.427473:0.759205:0.412533:0.742739:0.412533:0.000000:0.000000
–1:@0.776223:0.427473:0.792689:0.427473:0.792689:0.412533:0.776223:0.412533:0.000000:0.000000
B:@0.704185:0.415404:0.712218:0.415404:0.712218:0.400490:0.704185:0.400490:0.000000
 =:@0.712157:0.415404:0.725729:0.415404:0.725729:0.400464:0.712157:0.400464:0.000000:0.000000
 .:@0.800062:0.416804:0.807223:0.416804:0.807223:0.400370:0.800062:0.400370:0.000000:0.000000
Calcula. :@0.544349:0.452528:0.603981:0.452528:0.603981:0.436094:0.544349:0.436094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  (  +  )(  –  ).:@0.545774:0.490615:0.671263:0.490615:0.671263:0.474181:0.545774:0.474181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.580699:0.490615:0.590584:0.490615:0.590584:0.474209:0.580699:0.474209:0.000000
B A B:@0.609304:0.490615:0.663330:0.490615:0.663330:0.474209:0.609304:0.474209:0.000000:0.000000:0.000000:0.000000:0.000000
b. :@0.545774:0.528700:0.562672:0.528700:0.562672:0.512266:0.545774:0.512266:0.000000:0.000000:0.000000
A:@0.575895:0.528700:0.585780:0.528700:0.585780:0.512294:0.575895:0.512294:0.000000
2:@0.585713:0.522636:0.590950:0.522636:0.590950:0.513055:0.585713:0.513055:0.000000
 –  .:@0.590904:0.528700:0.625089:0.528700:0.625089:0.512266:0.590904:0.512266:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.607931:0.528700:0.616766:0.528700:0.616766:0.512294:0.607931:0.512294:0.000000
2:@0.616697:0.522636:0.621934:0.522636:0.621934:0.513055:0.616697:0.513055:0.000000
7.  Con los pares de matrices :@0.514231:0.561983:0.734094:0.561983:0.734094:0.545550:0.514231:0.545550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.734020:0.561983:0.759165:0.561983:0.759165:0.545577:0.734020:0.545577:0.000000:0.000000:0.000000:0.000000
 que se dan, indica si  :@0.759128:0.561983:0.916252:0.561983:0.916252:0.545550:0.759128:0.545550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.544352:0.578625:0.553187:0.578625:0.553187:0.562219:0.544352:0.562219:0.000000
 = :@0.553114:0.578625:0.572000:0.578625:0.572000:0.562191:0.553114:0.562191:0.000000:0.000000:0.000000
A:@0.571908:0.578625:0.581792:0.578625:0.581792:0.562219:0.571908:0.562219:0.000000
–1:@0.581730:0.572561:0.592290:0.572561:0.592290:0.562980:0.581730:0.562980:0.000000:0.000000
.:@0.592237:0.578625:0.595440:0.578625:0.595440:0.562191:0.592237:0.562191:0.000000
A:@0.542685:0.620715:0.552570:0.620715:0.552570:0.604309:0.542685:0.604309:0.000000
 = :@0.552496:0.620715:0.571382:0.620715:0.571382:0.604281:0.552496:0.604281:0.000000:0.000000:0.000000
2:@0.583300:0.610828:0.591466:0.610828:0.591466:0.595889:0.583300:0.595889:0.000000
3:@0.616784:0.610828:0.624951:0.610828:0.624951:0.595889:0.616784:0.595889:0.000000
 3:@0.581509:0.632274:0.593273:0.632274:0.593273:0.617334:0.581509:0.617334:0.000000:0.000000
1:@0.616784:0.632274:0.624951:0.632274:0.624951:0.617334:0.616784:0.617334:0.000000
 ,    = :@0.636473:0.620710:0.679095:0.620710:0.679095:0.604276:0.636473:0.604276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.651447:0.620710:0.660282:0.620710:0.660282:0.604304:0.651447:0.604304:0.000000
1:@0.695752:0.610828:0.703918:0.610828:0.703918:0.595889:0.695752:0.595889:0.000000
3:@0.733972:0.610828:0.742138:0.610828:0.742138:0.595889:0.733972:0.595889:0.000000
–   3:@0.686213:0.632274:0.713473:0.632274:0.713473:0.617334:0.686213:0.617334:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.733972:0.632274:0.742138:0.632274:0.742138:0.617334:0.733972:0.617334:0.000000
8.  Resuelve el siguiente problema. Por 8 rosas y 10 :@0.514231:0.683802:0.893456:0.683802:0.893456:0.667368:0.514231:0.667368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
claveles se paga $1,44. Si luego se compran 20 rosas :@0.544352:0.700443:0.925638:0.700443:0.925638:0.684010:0.544352:0.684010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y 5 claveles, y se paga $2, ¿cuánto cuesta cada rosa y :@0.544352:0.717085:0.927685:0.717085:0.927685:0.700651:0.544352:0.700651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada clavel?:@0.544352:0.733727:0.630888:0.733727:0.630888:0.717293:0.544352:0.717293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.  Sean  ,  ,   [ R tales que   =   –   ≠ 0.:@0.514231:0.778959:0.830697:0.778959:0.830697:0.762525:0.514231:0.762525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.583762:0.778959:0.623926:0.778959:0.623926:0.762553:0.583762:0.762553:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.645796:0.778959:0.649698:0.778959:0.649698:0.762289:0.645796:0.762289:0.000000
α:@0.719296:0.778959:0.728849:0.778959:0.728849:0.762553:0.719296:0.762553:0.000000
ad bc:@0.747570:0.778959:0.799828:0.778959:0.799828:0.762553:0.747570:0.762553:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.653895:0.185348:0.662061:0.185348:0.662061:0.170409:0.653895:0.170409:0.000000
–:@0.605524:0.217513:0.613891:0.217513:0.613891:0.202573:0.605524:0.202573:0.000000
0:@0.653902:0.217513:0.662068:0.217513:0.662068:0.202573:0.653902:0.202573:0.000000
1:@0.615449:0.176909:0.623615:0.176909:0.623615:0.161969:0.615449:0.161969:0.000000
2:@0.615449:0.193299:0.623615:0.193299:0.623615:0.178359:0.615449:0.178359:0.000000
1:@0.621356:0.209078:0.629522:0.209078:0.629522:0.194138:0.621356:0.194138:0.000000
2:@0.621356:0.225468:0.629522:0.225468:0.629522:0.210528:0.621356:0.210528:0.000000
–:@0.643748:0.294932:0.652115:0.294932:0.652115:0.279993:0.643748:0.279993:0.000000
1:@0.615449:0.254328:0.623615:0.254328:0.623615:0.239388:0.615449:0.239388:0.000000
4:@0.615449:0.270717:0.623615:0.270717:0.623615:0.255777:0.615449:0.255777:0.000000
1:@0.654191:0.254328:0.662357:0.254328:0.662357:0.239388:0.654191:0.239388:0.000000
5:@0.654191:0.270717:0.662357:0.270717:0.662357:0.255777:0.654191:0.255777:0.000000
2:@0.615449:0.286498:0.623615:0.286498:0.623615:0.271558:0.615449:0.271558:0.000000
5:@0.615449:0.302888:0.623615:0.302888:0.623615:0.287948:0.615449:0.287948:0.000000
3:@0.659461:0.286498:0.667627:0.286498:0.667627:0.271558:0.659461:0.271558:0.000000
4:@0.659461:0.302888:0.667627:0.302888:0.667627:0.287948:0.659461:0.287948:0.000000
 :@0.513674:0.351537:0.517338:0.351537:0.517338:0.336597:0.513674:0.336597:0.000000
C:@0.573916:0.351853:0.583819:0.351853:0.583819:0.335446:0.573916:0.335446:0.000000
 =                      .:@0.583745:0.351853:0.688869:0.351853:0.688869:0.335419:0.583745:0.335419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  1:@0.614663:0.338126:0.630024:0.338126:0.630024:0.323186:0.614663:0.323186:0.000000:0.000000:0.000000
–:@0.608106:0.370290:0.616473:0.370290:0.616473:0.355350:0.608106:0.355350:0.000000
1:@0.656773:0.329686:0.664939:0.329686:0.664939:0.314746:0.656773:0.314746:0.000000
5:@0.656773:0.346076:0.664939:0.346076:0.664939:0.331136:0.656773:0.331136:0.000000
19:@0.621376:0.361855:0.637641:0.361855:0.637641:0.346915:0.621376:0.346915:0.000000:0.000000
5:@0.625426:0.378245:0.633592:0.378245:0.633592:0.363305:0.625426:0.363305:0.000000
9:@0.656773:0.361855:0.664939:0.361855:0.664939:0.346915:0.656773:0.346915:0.000000
2:@0.656773:0.378245:0.664939:0.378245:0.664939:0.363305:0.656773:0.363305:0.000000
–:@0.724038:0.294932:0.732405:0.294932:0.732405:0.279993:0.724038:0.279993:0.000000
3:@0.733963:0.254328:0.742129:0.254328:0.742129:0.239388:0.733963:0.239388:0.000000
4:@0.733963:0.270717:0.742129:0.270717:0.742129:0.255777:0.733963:0.255777:0.000000
2:@0.772706:0.254328:0.780872:0.254328:0.780872:0.239388:0.772706:0.239388:0.000000
5:@0.772706:0.270717:0.780872:0.270717:0.780872:0.255777:0.772706:0.255777:0.000000
3:@0.738983:0.286498:0.747150:0.286498:0.747150:0.271558:0.738983:0.271558:0.000000
5:@0.738983:0.302888:0.747150:0.302888:0.747150:0.287948:0.738983:0.287948:0.000000
1:@0.772706:0.286498:0.780872:0.286498:0.780872:0.271558:0.772706:0.271558:0.000000
4:@0.772706:0.302888:0.780872:0.302888:0.780872:0.287948:0.772706:0.287948:0.000000
0:@0.727775:0.190681:0.735941:0.190681:0.735941:0.175742:0.727775:0.175742:0.000000
2:@0.754148:0.190681:0.762314:0.190681:0.762314:0.175742:0.754148:0.175742:0.000000
–7 0:@0.723642:0.212127:0.762314:0.212127:0.762314:0.197187:0.723642:0.197187:0.000000:0.000000:0.000000:0.000000
2 2:@0.832494:0.190681:0.864655:0.190681:0.864655:0.175742:0.832494:0.175742:0.000000:0.000000:0.000000
5 0:@0.832492:0.212127:0.864655:0.212127:0.864655:0.197187:0.832492:0.197187:0.000000:0.000000:0.000000
a b:@0.579021:0.816310:0.606926:0.816310:0.606926:0.801395:0.579021:0.801395:0.000000:0.000000:0.000000
0:@0.629450:0.816310:0.637616:0.816310:0.637616:0.801370:0.629450:0.801370:0.000000
c –d:@0.579031:0.837755:0.615745:0.837755:0.615745:0.822840:0.579031:0.822840:0.000000:0.000000:0.000000:0.000000
0:@0.629467:0.837755:0.637633:0.837755:0.637633:0.822815:0.629467:0.822815:0.000000
0 0 1:@0.580286:0.859200:0.637616:0.859200:0.637616:0.844260:0.580286:0.844260:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.832640:0.806952:0.841007:0.806952:0.841007:0.792013:0.832640:0.792013:0.000000
d:@0.843840:0.799848:0.852257:0.799848:0.852257:0.784934:0.843840:0.784934:0.000000
α:@0.843374:0.815891:0.852722:0.815891:0.852722:0.800204:0.843374:0.800204:0.000000
0:@0.868875:0.807183:0.877041:0.807183:0.877041:0.792243:0.868875:0.792243:0.000000
–:@0.794409:0.837126:0.802776:0.837126:0.802776:0.822186:0.794409:0.822186:0.000000
c:@0.806342:0.830226:0.813304:0.830226:0.813304:0.815311:0.806342:0.815311:0.000000
α:@0.805149:0.846269:0.814497:0.846269:0.814497:0.830582:0.805149:0.830582:0.000000
a:@0.840289:0.830226:0.848706:0.830226:0.848706:0.815311:0.840289:0.815311:0.000000
α:@0.839823:0.846269:0.849171:0.846269:0.849171:0.830582:0.839823:0.830582:0.000000
0 .:@0.868875:0.839347:0.887851:0.838238:0.887851:0.823298:0.868875:0.824407:0.000000:0.000000:0.000000
0:@0.804567:0.871509:0.812733:0.871509:0.812733:0.856569:0.804567:0.856569:0.000000
0:@0.840428:0.871509:0.848594:0.871509:0.848594:0.856569:0.840428:0.856569:0.000000
1:@0.868892:0.871509:0.877058:0.871509:0.877058:0.856569:0.868892:0.856569:0.000000
d:@0.802758:0.798890:0.811175:0.798890:0.811175:0.783975:0.802758:0.783975:0.000000
α:@0.802293:0.814933:0.811640:0.814933:0.811640:0.799246:0.802293:0.799246:0.000000
A:@0.545458:0.838379:0.555343:0.838379:0.555343:0.821973:0.545458:0.821973:0.000000
 =                   , Prueba que  –1 = :@0.555276:0.838379:0.786416:0.838379:0.786416:0.821945:0.555276:0.821945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.739606:0.838379:0.749491:0.838379:0.749491:0.821973:0.739606:0.821973:0.000000
5.  Sean A, B, C las matrices que se dan en cada ítem, :@0.514231:0.135942:0.906347:0.135942:0.906347:0.119509:0.514231:0.119509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
halla, si existen,   +   =  .:@0.544352:0.152584:0.742340:0.152584:0.742340:0.136150:0.544352:0.136150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xA:@0.658330:0.152584:0.675596:0.152584:0.675596:0.136178:0.658330:0.136178:0.000000:0.000000
yB:@0.694334:0.152584:0.710569:0.152584:0.710569:0.136178:0.694334:0.136178:0.000000:0.000000
C:@0.729308:0.152584:0.739211:0.152584:0.739211:0.136178:0.729308:0.136178:0.000000
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