﻿97:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
f) :@0.545667:0.106930:0.562491:0.106930:0.562491:0.090029:0.545667:0.090029:0.000000:0.000000:0.000000
–3,0 ,:@0.614715:0.103158:0.657544:0.103158:0.657544:0.087488:0.614715:0.087488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.690983:0.103158:0.703719:0.103158:0.703719:0.087488:0.690983:0.087488:0.000000:0.000000
26:@0.706540:0.094638:0.724323:0.094638:0.724323:0.078969:0.706540:0.078969:0.000000:0.000000
5:@0.711294:0.114084:0.720287:0.114084:0.720287:0.098414:0.711294:0.098414:0.000000
,:@0.734697:0.103158:0.737904:0.103158:0.737904:0.087488:0.734697:0.087488:0.000000
0,0:@0.772548:0.103158:0.795623:0.103158:0.795623:0.087488:0.772548:0.087488:0.000000:0.000000:0.000000
A:@0.582983:0.103158:0.592878:0.103158:0.592878:0.087765:0.582983:0.087765:0.000000
B:@0.658886:0.103158:0.667731:0.103158:0.667731:0.087765:0.658886:0.087765:0.000000
C:@0.739245:0.103158:0.749159:0.103158:0.749159:0.087765:0.739245:0.087765:0.000000
:@0.582245:0.092011:0.589801:0.092011:0.589801:0.075262:0.582245:0.075262:0.000000
:@0.584125:0.092011:0.515980:0.092011:0.515980:0.075262:0.584125:0.075262:0.000000
:@0.659826:0.092011:0.591680:0.092011:0.591680:0.075262:0.659826:0.075262:0.000000
:@0.739975:0.092011:0.671830:0.092011:0.671830:0.075262:0.739975:0.075262:0.000000
:@0.742326:0.092011:0.749882:0.092011:0.749882:0.075262:0.742326:0.075262:0.000000
(:@0.607910:0.106290:0.583991:0.106290:0.583991:0.086356:0.607910:0.086356:0.000000
):@0.646754:0.106290:0.622835:0.106290:0.622835:0.086356:0.646754:0.086356:0.000000
(:@0.766115:0.106290:0.742196:0.106290:0.742196:0.086356:0.766115:0.086356:0.000000
):@0.796171:0.106290:0.772251:0.106290:0.772251:0.086356:0.796171:0.086356:0.000000
=:@0.595240:0.103835:0.529435:0.103835:0.529435:0.088263:0.595240:0.088263:0.000000
=:@0.671153:0.103835:0.605348:0.103835:0.605348:0.088263:0.671153:0.088263:0.000000
⎛:@0.683398:0.094210:0.690474:0.094210:0.690474:0.078637:0.683398:0.078637:0.000000
⎝:@0.683398:0.114360:0.690474:0.114360:0.690474:0.098787:0.683398:0.098787:0.000000
⎜:@0.683398:0.105094:0.690474:0.105094:0.690474:0.089521:0.683398:0.089521:0.000000
⎞:@0.726685:0.094210:0.733761:0.094210:0.733761:0.078637:0.726685:0.078637:0.000000
⎠:@0.726685:0.114360:0.733761:0.114360:0.733761:0.098787:0.726685:0.098787:0.000000
⎟:@0.726685:0.105094:0.733761:0.105094:0.733761:0.089521:0.726685:0.089521:0.000000
=:@0.753442:0.103835:0.763558:0.103835:0.763558:0.088263:0.753442:0.088263:0.000000
 :@0.545667:0.121043:0.547600:0.121043:0.547600:0.111505:0.545667:0.111505:0.000000
 :@0.887937:0.326516:0.889870:0.326516:0.889870:0.316978:0.887937:0.316978:0.000000
c) :@0.153344:0.107636:0.170979:0.107636:0.170979:0.090736:0.153344:0.090736:0.000000:0.000000:0.000000
–3,–2,:@0.222392:0.106379:0.274432:0.106379:0.274432:0.089990:0.222392:0.089990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3,4 ,:@0.307510:0.106379:0.351451:0.106379:0.351451:0.089990:0.307510:0.089990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,2:@0.386095:0.106379:0.408801:0.106379:0.408801:0.089990:0.386095:0.089990:0.000000:0.000000:0.000000
A:@0.190673:0.106379:0.200569:0.106379:0.200569:0.090018:0.190673:0.090018:0.000000
B:@0.275791:0.106379:0.284636:0.106379:0.284636:0.090018:0.275791:0.090018:0.000000
C:@0.352800:0.106379:0.362714:0.106379:0.362714:0.090018:0.352800:0.090018:0.000000
:@0.189934:0.095227:0.199369:0.095227:0.199369:0.078478:0.189934:0.078478:0.000000:0.000000
:@0.276729:0.095227:0.284284:0.095227:0.284284:0.078478:0.276729:0.078478:0.000000
:@0.353535:0.095227:0.363449:0.095227:0.363449:0.078478:0.353535:0.078478:0.000000:0.000000
(:@0.215587:0.109511:0.221724:0.109511:0.221724:0.089577:0.215587:0.089577:0.000000
):@0.263647:0.109511:0.269783:0.109511:0.269783:0.089577:0.263647:0.089577:0.000000
(:@0.300705:0.109511:0.306841:0.109511:0.306841:0.089577:0.300705:0.089577:0.000000
):@0.340656:0.109511:0.346792:0.109511:0.346792:0.089577:0.340656:0.089577:0.000000
( ):@0.379655:0.109511:0.415110:0.109511:0.415110:0.089577:0.379655:0.089577:0.000000:0.000000:0.000000
=:@0.202918:0.107057:0.213034:0.107057:0.213034:0.091484:0.202918:0.091484:0.000000
=:@0.288035:0.107057:0.298152:0.107057:0.298152:0.091484:0.288035:0.091484:0.000000
=:@0.366979:0.107057:0.377096:0.107057:0.377096:0.091484:0.366979:0.091484:0.000000
 :@0.153344:0.353239:0.155278:0.353239:0.155278:0.343700:0.153344:0.343700:0.000000
d) :@0.153344:0.403380:0.173412:0.403380:0.173412:0.386479:0.153344:0.386479:0.000000:0.000000:0.000000
0,1,:@0.222027:0.402123:0.252193:0.402123:0.252193:0.385734:0.222027:0.385734:0.000000:0.000000:0.000000:0.000000
3,4:@0.284902:0.402123:0.307923:0.402123:0.307923:0.385734:0.284902:0.385734:0.000000:0.000000:0.000000
6,1:@0.349717:0.402123:0.371641:0.402123:0.371641:0.385734:0.349717:0.385734:0.000000:0.000000:0.000000
A:@0.190663:0.402123:0.200559:0.402123:0.200559:0.385761:0.190663:0.385761:0.000000
B:@0.253538:0.402123:0.262384:0.402123:0.262384:0.385761:0.253538:0.385761:0.000000
C:@0.316045:0.402123:0.325959:0.402123:0.325959:0.385761:0.316045:0.385761:0.000000
:@0.189934:0.390970:0.199369:0.390970:0.199369:0.374222:0.189934:0.374222:0.000000:0.000000
:@0.254487:0.390970:0.262042:0.390970:0.262042:0.374222:0.254487:0.374222:0.000000
:@0.316772:0.390970:0.326686:0.390970:0.326686:0.374222:0.316772:0.374222:0.000000:0.000000
( ):@0.215587:0.405254:0.247541:0.405254:0.247541:0.385321:0.215587:0.385321:0.000000:0.000000:0.000000
(:@0.278463:0.405254:0.284599:0.405254:0.284599:0.385321:0.278463:0.385321:0.000000
):@0.308831:0.405254:0.314968:0.405254:0.314968:0.385321:0.308831:0.385321:0.000000
( ):@0.342906:0.405254:0.375228:0.405254:0.375228:0.385321:0.342906:0.385321:0.000000:0.000000:0.000000
=:@0.202918:0.402800:0.213034:0.402800:0.213034:0.387227:0.202918:0.387227:0.000000
=:@0.265793:0.402800:0.275909:0.402800:0.275909:0.387227:0.265793:0.387227:0.000000
=:@0.330234:0.402800:0.340351:0.402800:0.340351:0.387227:0.330234:0.387227:0.000000
 :@0.153344:0.606592:0.155278:0.606592:0.155278:0.597053:0.153344:0.597053:0.000000
e) :@0.153344:0.654768:0.172214:0.654768:0.172214:0.637868:0.153344:0.637868:0.000000:0.000000:0.000000
3,2 ,:@0.222027:0.653511:0.255276:0.653511:0.255276:0.637841:0.222027:0.637841:0.000000:0.000000:0.000000:0.000000:0.000000
11 19:@0.289030:0.644992:0.329534:0.644992:0.329534:0.629322:0.289030:0.629322:0.000000:0.000000:0.000000:0.000000:0.000000
2 3:@0.292642:0.664437:0.326088:0.664437:0.326088:0.648767:0.292642:0.648767:0.000000:0.000000:0.000000
,:@0.306886:0.653511:0.310093:0.653511:0.310093:0.637841:0.306886:0.637841:0.000000
,:@0.339927:0.653511:0.343133:0.653511:0.343133:0.637841:0.339927:0.637841:0.000000
8,2:@0.377777:0.653511:0.400853:0.653511:0.400853:0.637841:0.377777:0.637841:0.000000:0.000000:0.000000
A:@0.190682:0.653511:0.200577:0.653511:0.200577:0.638118:0.190682:0.638118:0.000000
B:@0.256643:0.653511:0.265489:0.653511:0.265489:0.638118:0.256643:0.638118:0.000000
C:@0.344488:0.653511:0.354402:0.653511:0.354402:0.638118:0.344488:0.638118:0.000000
:@0.189945:0.642364:0.197500:0.642364:0.197500:0.625615:0.189945:0.625615:0.000000
:@0.191824:0.642364:0.133630:0.642364:0.133630:0.625615:0.191824:0.625615:0.000000
:@0.257574:0.642364:0.199379:0.642364:0.199379:0.625615:0.257574:0.625615:0.000000
:@0.345210:0.642364:0.287016:0.642364:0.287016:0.625615:0.345210:0.625615:0.000000
:@0.347575:0.642364:0.355130:0.642364:0.355130:0.625615:0.347575:0.625615:0.000000
(:@0.215587:0.656643:0.192829:0.656643:0.192829:0.636710:0.215587:0.636710:0.000000
):@0.244482:0.656643:0.221724:0.656643:0.221724:0.636710:0.244482:0.636710:0.000000
(:@0.371338:0.656643:0.348580:0.656643:0.348580:0.636710:0.371338:0.636710:0.000000
):@0.401021:0.656643:0.378263:0.656643:0.378263:0.636710:0.401021:0.636710:0.000000
=:@0.202918:0.654189:0.147063:0.654189:0.147063:0.638616:0.202918:0.638616:0.000000
=:@0.268889:0.654189:0.213034:0.654189:0.213034:0.638616:0.268889:0.638616:0.000000
⎛:@0.281124:0.644563:0.288201:0.644563:0.288201:0.628990:0.281124:0.628990:0.000000
⎝:@0.281124:0.664714:0.288201:0.664714:0.288201:0.649141:0.281124:0.649141:0.000000
⎜:@0.281124:0.655447:0.288201:0.655447:0.288201:0.639874:0.281124:0.639874:0.000000
⎞:@0.331911:0.644563:0.338987:0.644563:0.338987:0.628990:0.331911:0.628990:0.000000
⎠:@0.331911:0.664714:0.338987:0.664714:0.338987:0.649141:0.331911:0.649141:0.000000
⎟:@0.331911:0.655447:0.338987:0.655447:0.338987:0.639874:0.331911:0.639874:0.000000
=:@0.358668:0.654189:0.368785:0.654189:0.368785:0.638616:0.358668:0.638616:0.000000
 :@0.153344:0.900372:0.155278:0.900372:0.155278:0.890834:0.153344:0.890834:0.000000
4. :@0.512425:0.361806:0.531166:0.361806:0.531166:0.344670:0.512425:0.344670:0.000000:0.000000:0.000000
Determina:@0.545668:0.361806:0.627358:0.361806:0.627358:0.345182:0.545668:0.345182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, en forma analítica, si los siguientes :@0.627358:0.361806:0.887787:0.361806:0.887787:0.345417:0.627358:0.345417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectores son ortogonales.:@0.545668:0.378402:0.734179:0.378402:0.734179:0.362013:0.545668:0.362013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.545668:0.427458:0.564391:0.427458:0.564391:0.410558:0.545668:0.410558:0.000000:0.000000:0.000000
–3,3 ,:@0.614715:0.428365:0.656767:0.428365:0.656767:0.411976:0.614715:0.411976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,5:@0.689476:0.428365:0.711760:0.428365:0.711760:0.411976:0.689476:0.411976:0.000000:0.000000:0.000000
A:@0.582991:0.428365:0.592887:0.428365:0.592887:0.412004:0.582991:0.412004:0.000000
B:@0.658120:0.428365:0.666966:0.428365:0.666966:0.412004:0.658120:0.412004:0.000000
:@0.582254:0.417218:0.591689:0.417218:0.591689:0.400469:0.582254:0.400469:0.000000:0.000000
:@0.659042:0.417218:0.666597:0.417218:0.666597:0.400469:0.659042:0.400469:0.000000
(:@0.607910:0.431498:0.614047:0.431498:0.614047:0.411565:0.607910:0.411565:0.000000
):@0.645963:0.431498:0.652100:0.431498:0.652100:0.411565:0.645963:0.411565:0.000000
( ):@0.683035:0.431498:0.717660:0.431498:0.717660:0.411565:0.683035:0.411565:0.000000:0.000000:0.000000
=:@0.595240:0.429043:0.605357:0.429043:0.605357:0.413470:0.595240:0.413470:0.000000
=:@0.670370:0.429043:0.680487:0.429043:0.680487:0.413470:0.670370:0.413470:0.000000
 :@0.545667:0.515882:0.547600:0.515882:0.547600:0.506344:0.545667:0.506344:0.000000
b) :@0.545667:0.549678:0.565697:0.549678:0.565697:0.532778:0.545667:0.532778:0.000000:0.000000:0.000000
–1,4 ,:@0.614715:0.553207:0.656348:0.553207:0.656348:0.536818:0.614715:0.536818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6,2:@0.689426:0.553207:0.712494:0.553207:0.712494:0.536818:0.689426:0.536818:0.000000:0.000000:0.000000
A:@0.582991:0.553207:0.592887:0.553207:0.592887:0.536846:0.582991:0.536846:0.000000
B:@0.657697:0.553207:0.666542:0.553207:0.666542:0.536846:0.657697:0.536846:0.000000
:@0.582254:0.542060:0.591689:0.542060:0.591689:0.525312:0.582254:0.525312:0.000000:0.000000
:@0.658636:0.542060:0.666192:0.542060:0.666192:0.525312:0.658636:0.525312:0.000000
(:@0.607910:0.556340:0.614047:0.556340:0.614047:0.536407:0.607910:0.536407:0.000000
):@0.645558:0.556340:0.651694:0.556340:0.651694:0.536407:0.645558:0.536407:0.000000
(:@0.682616:0.556340:0.688752:0.556340:0.688752:0.536407:0.682616:0.536407:0.000000
):@0.712671:0.556340:0.718808:0.556340:0.718808:0.536407:0.712671:0.536407:0.000000
=:@0.595240:0.553885:0.605357:0.553885:0.605357:0.538312:0.595240:0.538312:0.000000
=:@0.669946:0.553885:0.680063:0.553885:0.680063:0.538312:0.669946:0.538312:0.000000
 :@0.545667:0.638109:0.547600:0.638109:0.547600:0.628571:0.545667:0.628571:0.000000
c) :@0.545667:0.683772:0.563302:0.683772:0.563302:0.666871:0.545667:0.666871:0.000000:0.000000:0.000000
– ,:@0.615449:0.685029:0.642961:0.685029:0.642961:0.669359:0.615449:0.669359:0.000000:0.000000:0.000000
9 20:@0.627593:0.676510:0.663563:0.676510:0.663563:0.660840:0.627593:0.660840:0.000000:0.000000:0.000000:0.000000
2 3:@0.627758:0.695955:0.659528:0.695955:0.659528:0.680285:0.627758:0.680285:0.000000:0.000000:0.000000
,:@0.673938:0.685029:0.677144:0.685029:0.677144:0.669359:0.673938:0.669359:0.000000
32 18:@0.712046:0.676510:0.755259:0.676510:0.755259:0.660840:0.712046:0.660840:0.000000:0.000000:0.000000:0.000000:0.000000
9 4:@0.716285:0.695955:0.751592:0.695955:0.751592:0.680285:0.716285:0.680285:0.000000:0.000000:0.000000
,:@0.732612:0.685029:0.735818:0.685029:0.735818:0.669359:0.732612:0.669359:0.000000
A:@0.582979:0.685029:0.592875:0.685029:0.592875:0.669636:0.582979:0.669636:0.000000
B:@0.678471:0.685029:0.687317:0.685029:0.687317:0.669636:0.678471:0.669636:0.000000
:@0.582242:0.673882:0.589797:0.673882:0.589797:0.657133:0.582242:0.657133:0.000000
:@0.584122:0.673882:0.496388:0.673882:0.496388:0.657133:0.584122:0.657133:0.000000
:@0.679402:0.673882:0.591668:0.673882:0.591668:0.657133:0.679402:0.657133:0.000000
=⎜:@0.595215:0.685707:0.614546:0.686965:0.614546:0.671392:0.595215:0.670134:0.000000:0.000000
⎛:@0.607470:0.676081:0.614546:0.676081:0.614546:0.660508:0.607470:0.660508:0.000000
⎝:@0.607470:0.696232:0.614546:0.696232:0.614546:0.680659:0.607470:0.680659:0.000000
⎞:@0.665904:0.676081:0.672980:0.676081:0.672980:0.660508:0.665904:0.660508:0.000000
⎠:@0.665904:0.696232:0.672980:0.696232:0.672980:0.680659:0.665904:0.680659:0.000000
⎟ =⎜:@0.665904:0.686965:0.710056:0.686965:0.710056:0.671392:0.665904:0.671392:0.000000:0.000000:0.000000:0.000000
⎛:@0.702980:0.676081:0.710056:0.676081:0.710056:0.660508:0.702980:0.660508:0.000000
⎝:@0.702980:0.696232:0.710056:0.696232:0.710056:0.680659:0.702980:0.680659:0.000000
⎞:@0.757636:0.676081:0.764713:0.676081:0.764713:0.660508:0.757636:0.660508:0.000000
⎠:@0.757636:0.696232:0.764713:0.696232:0.764713:0.680659:0.757636:0.680659:0.000000
⎟:@0.757636:0.686965:0.764713:0.686965:0.764713:0.671392:0.757636:0.671392:0.000000
 :@0.545667:0.772203:0.547600:0.772203:0.547600:0.762665:0.545667:0.762665:0.000000
d) :@0.545667:0.808512:0.565734:0.808512:0.565734:0.791612:0.545667:0.791612:0.000000:0.000000:0.000000
:@0.582257:0.797360:0.591692:0.797360:0.591692:0.780612:0.582257:0.780612:0.000000:0.000000
:@0.637798:0.797360:0.645353:0.797360:0.645353:0.780612:0.637798:0.780612:0.000000
5,1,:@0.600110:0.808512:0.629484:0.808512:0.629484:0.792124:0.600110:0.792124:0.000000:0.000000:0.000000:0.000000
..:@0.630424:0.808512:0.636671:0.808512:0.636671:0.792124:0.630424:0.792124:0.000000:0.000000
1,–5:@0.652832:0.808512:0.682390:0.808512:0.682390:0.792124:0.652832:0.792124:0.000000:0.000000:0.000000:0.000000
( ) (:@0.593671:0.811644:0.653676:0.811644:0.653676:0.791711:0.593671:0.791711:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.682147:0.811644:0.688283:0.811644:0.688283:0.791711:0.682147:0.791711:0.000000
A:@0.582991:0.808512:0.592887:0.808512:0.592887:0.792151:0.582991:0.792151:0.000000
B:@0.636855:0.808512:0.645700:0.808512:0.645700:0.792151:0.636855:0.792151:0.000000
 :@0.545667:0.896944:0.547600:0.896944:0.547600:0.887405:0.545667:0.887405:0.000000