﻿29:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Recuerda que…:@0.684804:0.111087:0.794564:0.111087:0.794564:0.095615:0.684804:0.095615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea el sistema de ecua-:@0.685042:0.139716:0.832620:0.139716:0.832620:0.124653:0.685042:0.124653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones lineales:@0.638498:0.155558:0.730563:0.155558:0.730563:0.140495:0.638498:0.140495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde  ,  ,  ,  ,  ,   :@0.638498:0.213777:0.777923:0.213776:0.777923:0.198713:0.638498:0.198714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c d b b:@0.685094:0.213883:0.769619:0.213881:0.769619:0.198845:0.685094:0.198846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.750337:0.216767:0.754860:0.216767:0.754860:0.207986:0.750337:0.207986:0.000000
2:@0.769618:0.216767:0.774140:0.216767:0.774140:0.207986:0.769618:0.207986:0.000000
 :@0.777922:0.213427:0.796065:0.213427:0.796065:0.200690:0.777922:0.200690:0.000000:0.000000
R:@0.796065:0.212773:0.808160:0.212773:0.808160:0.201080:0.796065:0.201080:0.000000
,:@0.808160:0.213776:0.810675:0.213776:0.810675:0.198713:0.808160:0.198713:0.000000
x y:@0.638504:0.229723:0.658645:0.229723:0.658645:0.214687:0.638504:0.214687:0.000000:0.000000:0.000000
,   :@0.645329:0.229618:0.662427:0.229618:0.662427:0.214555:0.645329:0.214555:0.000000:0.000000:0.000000:0.000000
 :@0.662426:0.229269:0.680569:0.229269:0.680569:0.216532:0.662426:0.216532:0.000000:0.000000
R :@0.680569:0.228615:0.696852:0.228615:0.696852:0.216922:0.680569:0.216922:0.000000:0.000000
son las incógnitas.:@0.696850:0.229618:0.813842:0.229618:0.813842:0.214555:0.696850:0.214555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.638504:0.261407:0.648794:0.261407:0.648794:0.246371:0.638504:0.246371:0.000000
 =                 :@0.648794:0.261302:0.726736:0.261302:0.726736:0.246239:0.648794:0.246239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.726733:0.260953:0.744876:0.260953:0.744876:0.248216:0.726733:0.248216:0.000000:0.000000
M:@0.744876:0.261407:0.758825:0.261407:0.758825:0.246371:0.744876:0.246371:0.000000
2×2:@0.758826:0.264293:0.773624:0.264293:0.773624:0.255512:0.758826:0.255512:0.000000:0.000000:0.000000
[ ],:@0.773623:0.261302:0.798929:0.261302:0.798929:0.246239:0.773623:0.246239:0.000000:0.000000:0.000000:0.000000
R:@0.778971:0.260299:0.791066:0.260299:0.791066:0.248606:0.778971:0.248606:0.000000
b:@0.638503:0.308933:0.646964:0.308933:0.646964:0.293897:0.638503:0.293897:0.000000
:@0.641687:0.307560:0.647544:0.307560:0.647544:0.293118:0.641687:0.293118:0.000000
 =          :@0.647545:0.308828:0.699013:0.308828:0.699013:0.293765:0.647545:0.293765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.699011:0.308479:0.717154:0.308479:0.717154:0.295742:0.699011:0.295742:0.000000:0.000000
R:@0.717154:0.307825:0.729249:0.307825:0.729249:0.296132:0.717154:0.296132:0.000000
2:@0.729249:0.303027:0.733772:0.303027:0.733772:0.294245:0.729249:0.294245:0.000000
 y:@0.733771:0.308828:0.744694:0.308828:0.744694:0.293765:0.733771:0.293765:0.000000:0.000000
x:@0.638503:0.358299:0.645978:0.358299:0.645978:0.341830:0.638503:0.341830:0.000000
:@0.640199:0.358675:0.646614:0.358675:0.646614:0.342857:0.640199:0.342857:0.000000
 =          :@0.646613:0.357862:0.698082:0.357862:0.698082:0.342799:0.646613:0.342799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.698082:0.357514:0.716224:0.357514:0.716224:0.344777:0.698082:0.344777:0.000000:0.000000
R:@0.716224:0.356860:0.728320:0.356860:0.728320:0.345167:0.716224:0.345167:0.000000
2:@0.728320:0.352062:0.732842:0.352062:0.732842:0.343280:0.728320:0.343280:0.000000
 el vector:@0.732841:0.357862:0.792768:0.357862:0.792768:0.342799:0.732841:0.342799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnita.:@0.638506:0.389546:0.702321:0.389546:0.702321:0.374483:0.638506:0.374483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto de la matriz   por :@0.638506:0.412517:0.839101:0.412517:0.839101:0.397454:0.638506:0.397454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.798151:0.412623:0.808441:0.412623:0.808441:0.397586:0.798151:0.397586:0.000000
el vector   se define como el :@0.638506:0.428359:0.827681:0.428358:0.827681:0.413295:0.638506:0.413296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.698432:0.428464:0.705256:0.428464:0.705256:0.413427:0.698432:0.413427:0.000000
:@0.699980:0.428807:0.705837:0.428807:0.705837:0.414365:0.699980:0.414365:0.000000
vector de  ::@0.638502:0.444200:0.723193:0.444200:0.723193:0.429137:0.638502:0.429137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.704061:0.443197:0.716156:0.443197:0.716156:0.431504:0.704061:0.431504:0.000000
2:@0.716156:0.438399:0.720678:0.438399:0.720678:0.429618:0.716156:0.429618:0.000000
Ax:@0.638497:0.475990:0.655619:0.475990:0.655619:0.460953:0.638497:0.460953:0.000000:0.000000
:@0.650342:0.476333:0.656199:0.476333:0.656199:0.461891:0.650342:0.461891:0.000000
 =                        =                   .:@0.656199:0.475884:0.843093:0.475884:0.843093:0.460821:0.656199:0.460821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, :@0.638503:0.511132:0.684255:0.511132:0.684255:0.496069:0.638503:0.496069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ax:@0.638503:0.542922:0.655619:0.542921:0.655619:0.527885:0.638503:0.527885:0.000000:0.000000
:@0.650342:0.543264:0.656199:0.543264:0.656199:0.528822:0.650342:0.528822:0.000000
 =                         =:@0.656199:0.542815:0.793195:0.542815:0.793195:0.527752:0.656199:0.527752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.673630:0.542921:0.682090:0.542921:0.682090:0.527885:0.673630:0.527885:0.000000
:@0.676813:0.541548:0.682671:0.541548:0.682671:0.527106:0.676813:0.527106:0.000000
⇔:@0.686452:0.542215:0.703908:0.542215:0.703908:0.526813:0.686452:0.526813:0.000000
⇔:@0.638503:0.589742:0.655959:0.589742:0.655959:0.574340:0.638503:0.574340:0.000000
Esta es la formulación matri-:@0.638503:0.625590:0.822880:0.625590:0.822880:0.610527:0.638503:0.610527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cial del sistema de ecuaciones :@0.638503:0.641432:0.834296:0.641432:0.834296:0.626368:0.638503:0.626368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales.:@0.638503:0.657274:0.688160:0.657274:0.688160:0.642210:0.638503:0.642210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax by b:@0.651342:0.175492:0.724267:0.175492:0.724267:0.160456:0.651342:0.160456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 +   =  ,:@0.667085:0.175386:0.731302:0.175386:0.731302:0.160324:0.667085:0.160324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.724264:0.178378:0.728786:0.178378:0.728786:0.169597:0.724264:0.169597:0.000000
cx dy b:@0.651342:0.191333:0.722508:0.191333:0.722508:0.176297:0.651342:0.176297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 +   =  ,:@0.665431:0.191228:0.729543:0.191227:0.729543:0.176165:0.665431:0.176165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.722507:0.194219:0.727029:0.194219:0.727029:0.185438:0.722507:0.185438:0.000000
a:@0.676558:0.251922:0.684755:0.251922:0.684755:0.236886:0.676558:0.236886:0.000000
b:@0.703135:0.251922:0.711596:0.251922:0.711596:0.236886:0.703135:0.236886:0.000000
c:@0.677385:0.271446:0.683946:0.271446:0.683946:0.256410:0.677385:0.256410:0.000000
d:@0.703188:0.271446:0.711561:0.271446:0.711561:0.256410:0.703188:0.256410:0.000000
a:@0.684817:0.467597:0.693014:0.467597:0.693014:0.452561:0.684817:0.452561:0.000000
b:@0.711394:0.467597:0.719855:0.467597:0.719855:0.452561:0.711394:0.452561:0.000000
c:@0.685644:0.487121:0.692205:0.487121:0.692205:0.472085:0.685644:0.472085:0.000000
d:@0.711447:0.487121:0.719820:0.487121:0.719820:0.472085:0.711447:0.472085:0.000000
ax by:@0.783330:0.467597:0.831242:0.467597:0.831242:0.452561:0.783330:0.452561:0.000000:0.000000:0.000000:0.000000:0.000000
 + :@0.798368:0.467491:0.815799:0.467491:0.815799:0.452429:0.798368:0.452429:0.000000:0.000000:0.000000
cx dy:@0.784209:0.487121:0.830363:0.487121:0.830363:0.472085:0.784209:0.472085:0.000000:0.000000:0.000000:0.000000:0.000000
 + :@0.797594:0.487016:0.815025:0.487016:0.815025:0.471953:0.797594:0.471953:0.000000:0.000000:0.000000
ax by:@0.717811:0.533551:0.765724:0.533551:0.765724:0.518515:0.717811:0.518515:0.000000:0.000000:0.000000:0.000000:0.000000
 + :@0.732850:0.533446:0.750281:0.533446:0.750281:0.518383:0.732850:0.518383:0.000000:0.000000:0.000000
cx dy:@0.718690:0.553076:0.764844:0.553076:0.764844:0.538040:0.718690:0.538040:0.000000:0.000000:0.000000:0.000000:0.000000
 + :@0.732076:0.552970:0.749507:0.552970:0.749507:0.537908:0.732076:0.537908:0.000000:0.000000:0.000000
b:@0.674164:0.298514:0.682625:0.298514:0.682625:0.283478:0.674164:0.283478:0.000000
1:@0.682624:0.301400:0.687146:0.301400:0.687146:0.292619:0.682624:0.292619:0.000000
b:@0.674164:0.318037:0.682625:0.318037:0.682625:0.303001:0.674164:0.303001:0.000000
2:@0.682624:0.320923:0.687146:0.320923:0.687146:0.312142:0.682624:0.312142:0.000000
x:@0.675901:0.348810:0.682726:0.348810:0.682726:0.333774:0.675901:0.333774:0.000000
y:@0.675796:0.368334:0.682814:0.368334:0.682814:0.353298:0.675796:0.353298:0.000000
x:@0.739356:0.467597:0.746181:0.467597:0.746181:0.452561:0.739356:0.452561:0.000000
y:@0.739251:0.487121:0.746269:0.487121:0.746269:0.472085:0.739251:0.472085:0.000000
b:@0.805908:0.533551:0.814369:0.533551:0.814369:0.518515:0.805908:0.518515:0.000000
1:@0.814368:0.536437:0.818891:0.536437:0.818891:0.527656:0.814368:0.527656:0.000000
b:@0.805908:0.553075:0.814369:0.553075:0.814369:0.538039:0.805908:0.538039:0.000000
2:@0.814368:0.555961:0.818891:0.555961:0.818891:0.547179:0.814368:0.547179:0.000000
ax by b:@0.672142:0.583951:0.745067:0.583951:0.745067:0.568915:0.672142:0.568915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 +   =  ,:@0.687885:0.583846:0.752102:0.583846:0.752102:0.568783:0.687885:0.568783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.745065:0.586839:0.749588:0.586839:0.749588:0.578057:0.745065:0.578057:0.000000
cx dy b:@0.672142:0.599793:0.743308:0.599793:0.743308:0.584757:0.672142:0.584757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 +   =  .:@0.686231:0.599687:0.750345:0.599688:0.750345:0.584625:0.686231:0.584625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.743306:0.602680:0.747829:0.602680:0.747829:0.593898:0.743306:0.593898:0.000000
Primera columna::@0.108231:0.096657:0.245492:0.096657:0.245492:0.079711:0.108231:0.079711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolvemos el sistema de ecuaciones::@0.108231:0.113545:0.368674:0.113545:0.368674:0.097047:0.108231:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos,   = –     ,    = –1, entonces,:@0.108231:0.155375:0.380486:0.155375:0.380486:0.138878:0.108231:0.138877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.180050:0.155490:0.188295:0.155490:0.188295:0.139022:0.180050:0.139022:0.000000
1:@0.188296:0.158652:0.193249:0.158652:0.193249:0.149034:0.188296:0.149034:0.000000
k:@0.254590:0.155491:0.262836:0.155491:0.262836:0.139022:0.254590:0.139022:0.000000
2:@0.262834:0.158652:0.267787:0.158652:0.267787:0.149034:0.262834:0.149034:0.000000
   2  + 3  +   = 1:@0.108231:0.188573:0.225229:0.188573:0.225229:0.172075:0.108231:0.172075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.129153:0.188689:0.136628:0.188689:0.136628:0.172220:0.129153:0.172220:0.000000
y z:@0.164216:0.188689:0.197641:0.188689:0.197641:0.172220:0.164216:0.172220:0.000000:0.000000:0.000000
               –        = –     ; con   = 4:@0.108231:0.213052:0.338393:0.213052:0.338393:0.196554:0.108231:0.196554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.163137:0.213168:0.170824:0.213168:0.170824:0.196699:0.163137:0.196699:0.000000
z:@0.207621:0.213168:0.214267:0.213168:0.214267:0.196699:0.207621:0.196699:0.000000
k:@0.302560:0.213168:0.310806:0.213168:0.310806:0.196699:0.302560:0.196699:0.000000
         –2  = –1.:@0.108231:0.237531:0.211300:0.237531:0.211300:0.221034:0.108231:0.221034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.162771:0.237647:0.170458:0.237647:0.170458:0.221178:0.162771:0.221178:0.000000
cuya solución es   =     ,   =     ,   = –     . Así   =            .:@0.108231:0.294933:0.499696:0.294923:0.499696:0.278426:0.108231:0.278436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.228271:0.295049:0.234918:0.295049:0.234918:0.278580:0.228271:0.278580:0.000000
y:@0.277475:0.295049:0.285162:0.295049:0.285162:0.278580:0.277475:0.278580:0.000000
x:@0.327719:0.295049:0.335194:0.295049:0.335194:0.278580:0.327719:0.278580:0.000000
x:@0.418747:0.295049:0.426222:0.295049:0.426222:0.278580:0.418747:0.278580:0.000000
:@0.420926:0.295425:0.427341:0.295425:0.427341:0.279607:0.420926:0.279607:0.000000
1:@0.427334:0.298201:0.432288:0.298201:0.432288:0.288583:0.427334:0.288583:0.000000
Segunda columna::@0.108226:0.361695:0.249941:0.361695:0.249941:0.344749:0.108226:0.344749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolvemos el sistema de ecuaciones:     + 2  –   = 1:@0.108226:0.378583:0.486904:0.379877:0.486904:0.363379:0.108226:0.362085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con los mismos valores,   = –     ,   = –1 y   = 4, se obtiene::@0.108226:0.423969:0.543758:0.423976:0.543758:0.407479:0.108226:0.407472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.282227:0.424085:0.290473:0.424085:0.290473:0.407616:0.282227:0.407616:0.000000
1:@0.290477:0.427253:0.295431:0.427253:0.295431:0.417635:0.290477:0.417635:0.000000
k:@0.352628:0.424092:0.360873:0.424092:0.360873:0.407623:0.352628:0.407623:0.000000
2:@0.360873:0.427253:0.365826:0.427253:0.365826:0.417635:0.360873:0.417635:0.000000
k:@0.420019:0.424092:0.428265:0.424092:0.428265:0.407623:0.420019:0.407623:0.000000
4:@0.428264:0.427253:0.433217:0.427253:0.433217:0.417635:0.428264:0.417635:0.000000
   2  + 3  +   = 0:@0.108231:0.458678:0.225228:0.458678:0.225228:0.442180:0.108231:0.442180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.129153:0.458794:0.136628:0.458794:0.136628:0.442325:0.129153:0.442325:0.000000
y z:@0.164215:0.458794:0.197641:0.458794:0.197641:0.442325:0.164215:0.442325:0.000000:0.000000:0.000000
               –        = 1 ;      :@0.108231:0.483157:0.273603:0.483157:0.273603:0.466659:0.108231:0.466659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.163137:0.483273:0.170823:0.483273:0.170823:0.466804:0.163137:0.466804:0.000000
z:@0.207620:0.483273:0.214267:0.483273:0.214267:0.466804:0.207620:0.466804:0.000000
⇔:@0.273601:0.482512:0.292803:0.482512:0.292803:0.465570:0.273601:0.465570:0.000000
         –2  = 0.:@0.108231:0.507635:0.200801:0.507635:0.200801:0.491137:0.108231:0.491137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.162771:0.507750:0.170458:0.507750:0.170458:0.491282:0.162771:0.491282:0.000000
cuya solución es z = –      , y = 0, x =      . Así   =            .:@0.108231:0.563244:0.499253:0.563251:0.499253:0.546754:0.108231:0.546746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.418304:0.563359:0.425778:0.563359:0.425778:0.546891:0.418304:0.546891:0.000000
:@0.420482:0.563735:0.426898:0.563735:0.426898:0.547917:0.420482:0.547917:0.000000
2:@0.426890:0.566529:0.431844:0.566529:0.431844:0.556911:0.426890:0.556911:0.000000
Tercera columna::@0.108226:0.626451:0.240596:0.626451:0.240596:0.609506:0.108226:0.609506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolvemos el sistema de ecuaciones:     + 2  –   = 0:@0.108226:0.643340:0.486904:0.644750:0.486904:0.628253:0.108226:0.626842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con los mismos valores,   = –     ,   = –1  y    = 4, se obtiene::@0.108226:0.695392:0.552042:0.695399:0.552042:0.678901:0.108226:0.678894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.282230:0.695507:0.290476:0.695507:0.290476:0.679039:0.282230:0.679039:0.000000
1:@0.290477:0.698675:0.295431:0.698675:0.295431:0.689057:0.290477:0.689057:0.000000
k:@0.352628:0.695514:0.360873:0.695514:0.360873:0.679046:0.352628:0.679046:0.000000
2:@0.360873:0.698675:0.365826:0.698675:0.365826:0.689057:0.360873:0.689057:0.000000
k:@0.428304:0.695514:0.436549:0.695514:0.436549:0.679046:0.428304:0.679046:0.000000
4:@0.436548:0.698675:0.441501:0.698675:0.441501:0.689057:0.436548:0.689057:0.000000
   2  + 3  +   = 0:@0.108231:0.730100:0.225228:0.730100:0.225228:0.713603:0.108231:0.713603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.129153:0.730216:0.136628:0.730216:0.136628:0.713747:0.129153:0.713747:0.000000
y z:@0.164215:0.730216:0.197641:0.730216:0.197641:0.713747:0.164215:0.713747:0.000000:0.000000:0.000000
               –        = 0 ;      :@0.108231:0.754579:0.273603:0.754579:0.273603:0.738082:0.108231:0.738082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.163137:0.754695:0.170823:0.754695:0.170823:0.738226:0.163137:0.738226:0.000000
z:@0.207620:0.754695:0.214267:0.754695:0.214267:0.738226:0.207620:0.738226:0.000000
⇔:@0.273601:0.753934:0.292803:0.753934:0.292803:0.736992:0.273601:0.736992:0.000000
         –2  = 1.:@0.108231:0.779058:0.200801:0.779058:0.200801:0.762561:0.108231:0.762561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.162771:0.779174:0.170458:0.779174:0.170458:0.762705:0.162771:0.762705:0.000000
cuya solución es   = –     ,   = –     ,   =     .  Así   =            .:@0.108231:0.841463:0.518480:0.841463:0.518480:0.824965:0.108231:0.824965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.228271:0.841579:0.234917:0.841579:0.234917:0.825110:0.228271:0.825110:0.000000
y:@0.292116:0.841579:0.299803:0.841579:0.299803:0.825110:0.292116:0.825110:0.000000
x:@0.357001:0.841579:0.364476:0.841579:0.364476:0.825110:0.357001:0.825110:0.000000
x:@0.437530:0.841579:0.445005:0.841579:0.445005:0.825110:0.437530:0.825110:0.000000
:@0.439709:0.841955:0.446124:0.841955:0.446124:0.826137:0.439709:0.826137:0.000000
2:@0.446117:0.844741:0.451070:0.844741:0.451070:0.835123:0.446117:0.835123:0.000000
La matriz inversa :@0.108226:0.919773:0.230908:0.919773:0.230908:0.903275:0.108226:0.903275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.230908:0.919889:0.242178:0.919889:0.242178:0.903420:0.230908:0.903420:0.000000
–1:@0.242182:0.913424:0.253256:0.913424:0.253256:0.903806:0.242182:0.903806:0.000000:0.000000
 =                                .:@0.253257:0.919777:0.404275:0.919777:0.404275:0.903279:0.253257:0.903279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 3  +   = 1:@0.389520:0.097915:0.494092:0.097915:0.494092:0.081417:0.389520:0.081417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.398016:0.098030:0.405491:0.098030:0.405491:0.081562:0.398016:0.081562:0.000000
y z:@0.433079:0.098030:0.466504:0.098030:0.466504:0.081562:0.433079:0.081562:0.000000:0.000000:0.000000
x:@0.389520:0.115381:0.396995:0.115381:0.396995:0.098912:0.389520:0.098912:0.000000
 + 2  –   = 0:@0.396995:0.115265:0.485288:0.115265:0.485288:0.098768:0.396995:0.098768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y z:@0.424583:0.115381:0.457700:0.115381:0.457700:0.098912:0.424583:0.098912:0.000000:0.000000:0.000000
2  +   +   = 0.:@0.389520:0.132616:0.488351:0.132616:0.488351:0.116119:0.389520:0.116119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.398016:0.132732:0.458008:0.132732:0.458008:0.116263:0.398016:0.116263:0.000000:0.000000:0.000000:0.000000:0.000000
   2  + 3  +   = 1:@0.368039:0.188413:0.485037:0.188413:0.485037:0.171916:0.368039:0.171916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.388961:0.188529:0.396436:0.188529:0.396436:0.172060:0.388961:0.172060:0.000000
y z:@0.424024:0.188529:0.457449:0.188529:0.457449:0.172060:0.424024:0.172060:0.000000:0.000000:0.000000
               –        = –     :@0.368039:0.212892:0.524377:0.212892:0.524377:0.196395:0.368039:0.196395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.422945:0.213008:0.430632:0.213008:0.430632:0.196539:0.422945:0.196539:0.000000
z:@0.467429:0.213008:0.474075:0.213008:0.474075:0.196539:0.467429:0.196539:0.000000
                       6  = –3.:@0.368039:0.237371:0.514860:0.237371:0.514860:0.220874:0.368039:0.220874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.467371:0.237487:0.474017:0.237487:0.474017:0.221018:0.467371:0.221018:0.000000
   2  + 3  +   = 0:@0.368039:0.458319:0.485037:0.458319:0.485037:0.441821:0.368039:0.441821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.388961:0.458434:0.396436:0.458434:0.396436:0.441966:0.388961:0.441966:0.000000
y z:@0.424024:0.458434:0.457449:0.458434:0.457449:0.441966:0.424024:0.441966:0.000000:0.000000:0.000000
               –        = 1:@0.368039:0.482798:0.501663:0.482798:0.501663:0.466300:0.368039:0.466300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.422945:0.482913:0.430632:0.482913:0.430632:0.466445:0.422945:0.466445:0.000000
z:@0.467429:0.482913:0.474075:0.482913:0.474075:0.466445:0.467429:0.466445:0.000000
                    –6  = 4,:@0.368039:0.507277:0.506865:0.507277:0.506865:0.490779:0.368039:0.490779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.469875:0.507392:0.476522:0.507392:0.476522:0.490924:0.469875:0.490924:0.000000
   2  + 3  +   = 0:@0.368039:0.730191:0.485037:0.730191:0.485037:0.713693:0.368039:0.713693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.388961:0.730306:0.396436:0.730306:0.396436:0.713838:0.388961:0.713838:0.000000
y z:@0.424024:0.730306:0.457449:0.730306:0.457449:0.713838:0.424024:0.713838:0.000000:0.000000:0.000000
               –        = 0:@0.368039:0.754670:0.501663:0.754670:0.501663:0.738172:0.368039:0.738172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.422945:0.754785:0.430632:0.754785:0.430632:0.738317:0.422945:0.738317:0.000000
z:@0.467429:0.754785:0.474075:0.754785:0.474075:0.738317:0.467429:0.738317:0.000000
                    –6  = 1,:@0.368039:0.779149:0.506865:0.779149:0.506865:0.762651:0.368039:0.762651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.469875:0.779264:0.476522:0.779264:0.476522:0.762796:0.469875:0.762796:0.000000
1:@0.229125:0.148111:0.237621:0.148111:0.237621:0.131613:0.229125:0.131613:0.000000
2:@0.229125:0.164449:0.237621:0.164449:0.237621:0.147952:0.229125:0.147952:0.000000
1:@0.147672:0.205369:0.156168:0.205369:0.156168:0.188872:0.147672:0.188872:0.000000
2:@0.147672:0.221708:0.156168:0.221708:0.156168:0.205210:0.147672:0.205210:0.000000
1:@0.147672:0.475273:0.156168:0.475273:0.156168:0.458775:0.147672:0.458775:0.000000
2:@0.147672:0.491612:0.156168:0.491612:0.156168:0.475114:0.147672:0.475114:0.000000
1:@0.147672:0.747147:0.156168:0.747147:0.156168:0.730649:0.147672:0.730649:0.000000
2:@0.147672:0.763485:0.156168:0.763485:0.156168:0.746988:0.147672:0.746988:0.000000
1:@0.407334:0.205369:0.415830:0.205369:0.415830:0.188872:0.407334:0.188872:0.000000
2:@0.407334:0.221708:0.415830:0.221708:0.415830:0.205210:0.407334:0.205210:0.000000
1:@0.407334:0.475273:0.415830:0.475273:0.415830:0.458775:0.407334:0.458775:0.000000
2:@0.407334:0.491612:0.415830:0.491612:0.415830:0.475114:0.407334:0.475114:0.000000
1:@0.407334:0.747147:0.415830:0.747147:0.415830:0.730649:0.407334:0.730649:0.000000
2:@0.407334:0.763485:0.415830:0.763485:0.415830:0.746988:0.407334:0.746988:0.000000
1:@0.249518:0.205369:0.258014:0.205369:0.258014:0.188872:0.249518:0.188872:0.000000
2:@0.249518:0.221708:0.258014:0.221708:0.258014:0.205210:0.249518:0.205210:0.000000
1:@0.257406:0.287433:0.265902:0.287433:0.265902:0.270936:0.257406:0.270936:0.000000
2:@0.257406:0.303772:0.265902:0.303772:0.265902:0.287274:0.257406:0.287274:0.000000
2:@0.272484:0.555743:0.280980:0.555743:0.280980:0.539245:0.272484:0.539245:0.000000
3:@0.272484:0.572081:0.280980:0.572081:0.280980:0.555584:0.272484:0.555584:0.000000
1:@0.307571:0.287433:0.316067:0.287433:0.316067:0.270936:0.307571:0.270936:0.000000
2:@0.307571:0.303772:0.316067:0.303772:0.316067:0.287274:0.307571:0.287274:0.000000
1:@0.331130:0.416460:0.339626:0.416460:0.339626:0.399963:0.331130:0.399963:0.000000
2:@0.331130:0.432799:0.339626:0.432799:0.339626:0.416301:0.331130:0.416301:0.000000
1:@0.371355:0.287433:0.379851:0.287433:0.379851:0.270936:0.371355:0.270936:0.000000
2:@0.371355:0.303772:0.379851:0.303772:0.379851:0.287274:0.371355:0.287274:0.000000
1:@0.368004:0.555743:0.376500:0.555743:0.376500:0.539245:0.368004:0.539245:0.000000
3:@0.368004:0.572081:0.376500:0.572081:0.376500:0.555584:0.368004:0.555584:0.000000
1:@0.509180:0.205369:0.517676:0.205369:0.517676:0.188872:0.509180:0.188872:0.000000
2:@0.509180:0.221708:0.517676:0.221708:0.517676:0.205210:0.509180:0.205210:0.000000
3:@0.193107:0.205369:0.201603:0.205369:0.201603:0.188872:0.193107:0.188872:0.000000
2:@0.193107:0.221708:0.201603:0.221708:0.201603:0.205210:0.193107:0.205210:0.000000
3:@0.193107:0.475273:0.201603:0.475273:0.201603:0.458775:0.193107:0.458775:0.000000
2:@0.193107:0.491612:0.201603:0.491612:0.201603:0.475114:0.193107:0.475114:0.000000
3:@0.193107:0.747147:0.201603:0.747147:0.201603:0.730649:0.193107:0.730649:0.000000
2:@0.193107:0.763485:0.201603:0.763485:0.201603:0.746988:0.193107:0.746988:0.000000
3:@0.452770:0.205369:0.461266:0.205369:0.461266:0.188872:0.452770:0.188872:0.000000
2:@0.452770:0.221708:0.461266:0.221708:0.461266:0.205210:0.452770:0.205210:0.000000
3:@0.452770:0.475273:0.461266:0.475273:0.461266:0.458775:0.452770:0.458775:0.000000
2:@0.452770:0.491612:0.461266:0.491612:0.461266:0.475114:0.452770:0.475114:0.000000
3:@0.452770:0.747147:0.461266:0.747147:0.461266:0.730649:0.452770:0.730649:0.000000
2:@0.452770:0.763485:0.461266:0.763485:0.461266:0.746988:0.452770:0.746988:0.000000
–:@0.458184:0.265067:0.468221:0.265067:0.468221:0.248599:0.458184:0.248599:0.000000
0:@0.469859:0.564353:0.478355:0.564353:0.478355:0.547856:0.469859:0.547856:0.000000
–:@0.459860:0.590004:0.469897:0.590004:0.469897:0.573535:0.459860:0.573535:0.000000
1:@0.473486:0.257467:0.481982:0.257467:0.481982:0.240969:0.473486:0.240969:0.000000
2:@0.473486:0.273806:0.481982:0.273806:0.481982:0.257308:0.473486:0.257308:0.000000
1:@0.469857:0.529549:0.478353:0.529549:0.478353:0.513052:0.469857:0.513052:0.000000
3:@0.469857:0.545888:0.478353:0.545888:0.478353:0.529390:0.469857:0.529390:0.000000
1:@0.468182:0.287705:0.476678:0.287705:0.476678:0.271207:0.468182:0.271207:0.000000
2:@0.468182:0.304044:0.476678:0.304044:0.476678:0.287546:0.468182:0.287546:0.000000
1:@0.468182:0.318249:0.476678:0.318249:0.476678:0.301751:0.468182:0.301751:0.000000
2:@0.468182:0.334587:0.476678:0.334587:0.476678:0.318090:0.468182:0.318090:0.000000
2:@0.474883:0.582302:0.483379:0.582302:0.483379:0.565804:0.474883:0.565804:0.000000
3:@0.474883:0.598641:0.483379:0.598641:0.483379:0.582143:0.474883:0.582143:0.000000
2  + 3  +   = 0:@0.391137:0.362526:0.495708:0.362526:0.495708:0.346028:0.391137:0.346028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.399633:0.362641:0.407108:0.362641:0.407108:0.346173:0.399633:0.346173:0.000000
y z:@0.434695:0.362641:0.468121:0.362641:0.468121:0.346173:0.434695:0.346173:0.000000:0.000000:0.000000
x:@0.391137:0.379992:0.398612:0.379992:0.398612:0.363523:0.391137:0.363523:0.000000
y z:@0.426199:0.379992:0.459316:0.379992:0.459316:0.363523:0.426199:0.363523:0.000000:0.000000:0.000000
2  +   +   = 0.:@0.391137:0.397227:0.489967:0.397227:0.489967:0.380730:0.391137:0.380730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.399633:0.397343:0.459625:0.397343:0.459625:0.380874:0.399633:0.380874:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 3  +   = 0:@0.391137:0.627399:0.495708:0.627399:0.495708:0.610902:0.391137:0.610902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.399633:0.627515:0.407108:0.627515:0.407108:0.611046:0.399633:0.611046:0.000000
y z:@0.434695:0.627515:0.468121:0.627515:0.468121:0.611046:0.434695:0.611046:0.000000:0.000000:0.000000
x:@0.391137:0.644866:0.398612:0.644866:0.398612:0.628397:0.391137:0.628397:0.000000
y z:@0.426199:0.644866:0.459316:0.644866:0.459316:0.628397:0.426199:0.628397:0.000000:0.000000:0.000000
2  +   +   = 1.:@0.391137:0.662101:0.489967:0.662101:0.489967:0.645603:0.391137:0.645603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.399633:0.662217:0.459625:0.662217:0.459625:0.645748:0.399633:0.645748:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.330497:0.687948:0.338993:0.687948:0.338993:0.671450:0.330497:0.671450:0.000000
2:@0.330497:0.704287:0.338993:0.704287:0.338993:0.687789:0.330497:0.687789:0.000000
1:@0.269998:0.833882:0.278494:0.833882:0.278494:0.817384:0.269998:0.817384:0.000000
6:@0.269998:0.850220:0.278494:0.850220:0.278494:0.833723:0.269998:0.833723:0.000000
1:@0.336578:0.833882:0.345074:0.833882:0.345074:0.817384:0.336578:0.817384:0.000000
2:@0.336578:0.850220:0.345074:0.850220:0.345074:0.833723:0.336578:0.833723:0.000000
5:@0.387125:0.833882:0.395621:0.833882:0.395621:0.817384:0.387125:0.817384:0.000000
6:@0.387125:0.850220:0.395621:0.850220:0.395621:0.833723:0.387125:0.833723:0.000000
–:@0.477422:0.840388:0.487459:0.840388:0.487459:0.823919:0.477422:0.823919:0.000000
–:@0.477422:0.869480:0.487459:0.869480:0.487459:0.853011:0.477422:0.853011:0.000000
5:@0.487422:0.801907:0.495918:0.801907:0.495918:0.785410:0.487422:0.785410:0.000000
6:@0.487422:0.818246:0.495918:0.818246:0.495918:0.801748:0.487422:0.801748:0.000000
1:@0.492448:0.832857:0.500944:0.832857:0.500944:0.816359:0.492448:0.816359:0.000000
2:@0.492448:0.849196:0.500944:0.849196:0.500944:0.832698:0.492448:0.832698:0.000000
1:@0.492448:0.861976:0.500944:0.861976:0.500944:0.845478:0.492448:0.845478:0.000000
6:@0.492448:0.878315:0.500944:0.878315:0.500944:0.861817:0.492448:0.861817:0.000000
–:@0.278680:0.887597:0.289180:0.887597:0.289180:0.871100:0.278680:0.871100:0.000000
0:@0.331409:0.919667:0.339905:0.919667:0.339905:0.903170:0.331409:0.903170:0.000000
–:@0.364141:0.919667:0.374641:0.919667:0.374641:0.903170:0.364141:0.903170:0.000000
–:@0.321411:0.951737:0.331910:0.951737:0.331910:0.935240:0.321411:0.935240:0.000000
–:@0.364141:0.951737:0.374641:0.951737:0.374641:0.935240:0.364141:0.935240:0.000000
1:@0.332286:0.880150:0.340782:0.880150:0.340782:0.863653:0.332286:0.863653:0.000000
3:@0.332286:0.896489:0.340782:0.896489:0.340782:0.879991:0.332286:0.879991:0.000000
1:@0.379391:0.944289:0.387887:0.944289:0.387887:0.927791:0.379391:0.927791:0.000000
6:@0.379391:0.960628:0.387887:0.960628:0.387887:0.944130:0.379391:0.944130:0.000000
1:@0.289182:0.944289:0.297678:0.944289:0.297678:0.927791:0.289182:0.927791:0.000000
2:@0.289182:0.960628:0.297678:0.960628:0.297678:0.944130:0.289182:0.944130:0.000000
2:@0.336670:0.944289:0.345166:0.944289:0.345166:0.927791:0.336670:0.927791:0.000000
3:@0.336670:0.960628:0.345166:0.960628:0.345166:0.944130:0.336670:0.944130:0.000000
1:@0.380118:0.912313:0.388614:0.912313:0.388614:0.895816:0.380118:0.895816:0.000000
2:@0.380118:0.928652:0.388614:0.928652:0.388614:0.912154:0.380118:0.912154:0.000000
5:@0.373891:0.880150:0.382387:0.880150:0.382387:0.863653:0.373891:0.863653:0.000000
6:@0.373891:0.896489:0.382387:0.896489:0.382387:0.879991:0.373891:0.879991:0.000000
1:@0.294525:0.880150:0.303021:0.880150:0.303021:0.863653:0.294525:0.863653:0.000000
2:@0.294525:0.896489:0.303021:0.896489:0.303021:0.879991:0.294525:0.879991:0.000000
1:@0.289077:0.912313:0.297573:0.912313:0.297573:0.895816:0.289077:0.895816:0.000000
2:@0.289077:0.928652:0.297573:0.928652:0.297573:0.912154:0.289077:0.912154:0.000000
Interculturalidad:@0.684804:0.781201:0.805118:0.781201:0.805118:0.765728:0.684804:0.765728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las primeras matemáticas :@0.678232:0.809132:0.846707:0.809132:0.846707:0.794069:0.678232:0.794069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en China datan de la Dinastía :@0.638496:0.824974:0.828505:0.824974:0.828505:0.809911:0.638496:0.809911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shang (1600 – 1046 a. C.) y :@0.638496:0.840816:0.813429:0.840816:0.813429:0.825753:0.638496:0.825753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consisten en números marcados :@0.638496:0.856658:0.847393:0.856658:0.847393:0.841595:0.638496:0.841595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en un caparazón de tortuga.:@0.638496:0.872500:0.818370:0.872500:0.818370:0.857437:0.638496:0.857437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Confecciona:@0.638496:0.888540:0.724492:0.888540:0.724492:0.873279:0.638496:0.873279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un ensayo corto :@0.724669:0.888342:0.839917:0.888342:0.839917:0.873279:0.724669:0.873279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre la evolución de las  :@0.638496:0.904184:0.809031:0.904184:0.809031:0.889121:0.638496:0.889121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas.:@0.638496:0.920026:0.726180:0.920026:0.726180:0.904963:0.638496:0.904963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000