69:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.8 Matriz diagonal:@0.073089:0.136836:0.224301:0.136836:0.224301:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.073089:0.168206:0.158020:0.168206:0.158020:0.151259:0.073089:0.151259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.158406:0.168206:0.161609:0.168206:0.161609:0.151772:0.158406:0.151772:0.000000
 :@0.161977:0.168206:0.165788:0.168206:0.165788:0.151259:0.161977:0.151259:0.000000
Una matriz real   de la forma :@0.168291:0.168206:0.407411:0.168206:0.407411:0.151772:0.168291:0.151772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.295283:0.168206:0.305168:0.168206:0.305168:0.151800:0.295283:0.151800:0.000000
a:@0.416028:0.158318:0.424445:0.158318:0.424445:0.143403:0.416028:0.143403:0.000000
11:@0.424385:0.161202:0.433868:0.161202:0.433868:0.152492:0.424385:0.152492:0.000000:0.000000
0:@0.451973:0.158318:0.460139:0.158318:0.460139:0.143378:0.451973:0.143378:0.000000
0:@0.420864:0.179763:0.429030:0.179763:0.429030:0.164823:0.420864:0.164823:0.000000
a:@0.447136:0.179763:0.455554:0.179763:0.455554:0.164849:0.447136:0.164849:0.000000
22:@0.455495:0.182643:0.464978:0.182643:0.464978:0.173934:0.455495:0.173934:0.000000:0.000000
 se llama matriz diagonal. Los :@0.470934:0.168200:0.710300:0.168200:0.710300:0.151766:0.470934:0.151766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementos :@0.073089:0.199718:0.155813:0.199718:0.155813:0.183285:0.073089:0.183285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.156787:0.199718:0.166045:0.199718:0.166045:0.183312:0.156787:0.183312:0.000000
11:@0.166118:0.202891:0.176646:0.202891:0.176646:0.193310:0.166118:0.193310:0.000000:0.000000
, :@0.176700:0.199718:0.184027:0.199718:0.184027:0.183285:0.176700:0.183285:0.000000:0.000000
a:@0.184984:0.199718:0.194243:0.199718:0.194243:0.183312:0.184984:0.183312:0.000000
22:@0.194326:0.202891:0.204854:0.202891:0.204854:0.193310:0.194326:0.193310:0.000000:0.000000
 se llaman elementos diagonales. Las matrices diagonales se notan :@0.204909:0.199718:0.710267:0.199718:0.710267:0.183285:0.204909:0.183285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diag a a:@0.073094:0.216360:0.145088:0.216360:0.145088:0.199954:0.073094:0.199954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.104405:0.216360:0.109283:0.216360:0.109283:0.199926:0.104405:0.199926:0.000000
11:@0.118381:0.219533:0.128812:0.219533:0.128812:0.209952:0.118381:0.209952:0.000000:0.000000
, :@0.128761:0.216360:0.135921:0.216360:0.135921:0.199926:0.128761:0.199926:0.000000:0.000000
22:@0.145027:0.219533:0.155457:0.219533:0.155457:0.209952:0.145027:0.209952:0.000000:0.000000
).:@0.155407:0.216360:0.163414:0.216360:0.163414:0.199926:0.155407:0.199926:0.000000:0.000000
Ejemplo 9 :@0.073089:0.258020:0.153363:0.258020:0.153363:0.241351:0.073089:0.241351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las siguientes son matrices diagonales: :@0.073089:0.288489:0.360541:0.288489:0.360541:0.272055:0.073089:0.272055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.371016:0.279500:0.379182:0.279500:0.379182:0.264560:0.371016:0.264560:0.000000
0:@0.402124:0.279500:0.410290:0.279500:0.410290:0.264560:0.402124:0.264560:0.000000
0:@0.371016:0.300945:0.379182:0.300945:0.379182:0.286005:0.371016:0.286005:0.000000
1:@0.402124:0.300945:0.410290:0.300945:0.410290:0.286005:0.402124:0.286005:0.000000
, :@0.420632:0.288489:0.427792:0.288489:0.427792:0.272055:0.420632:0.272055:0.000000:0.000000
0:@0.438519:0.280393:0.446685:0.280393:0.446685:0.265454:0.438519:0.265454:0.000000
0:@0.469627:0.280393:0.477793:0.280393:0.477793:0.265454:0.469627:0.265454:0.000000
0:@0.438519:0.301839:0.446685:0.301839:0.446685:0.286899:0.438519:0.286899:0.000000
–5:@0.465477:0.301839:0.481943:0.301839:0.481943:0.286899:0.465477:0.286899:0.000000:0.000000
.:@0.488134:0.288489:0.491337:0.288489:0.491337:0.272055:0.488134:0.272055:0.000000
Escritas con la notación, se tiene :@0.073089:0.322999:0.310535:0.322999:0.310535:0.306565:0.073089:0.306565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diag:@0.310211:0.322999:0.341559:0.322999:0.341559:0.306593:0.310211:0.306593:0.000000:0.000000:0.000000:0.000000
(1, 1), :@0.341522:0.322999:0.383196:0.322999:0.383196:0.306565:0.341522:0.306565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diag:@0.383067:0.322999:0.414415:0.322999:0.414415:0.306593:0.383067:0.306593:0.000000:0.000000:0.000000:0.000000
(0, –5).:@0.414378:0.322999:0.461224:0.322999:0.461224:0.306565:0.414378:0.306565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.9 Matriz triangular superior :@0.073089:0.361081:0.306692:0.361081:0.306692:0.344134:0.073089:0.344134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición. :@0.073089:0.393339:0.164647:0.393339:0.164647:0.376392:0.073089:0.376392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una matriz real de la forma :@0.166027:0.393339:0.377385:0.393339:0.377385:0.376905:0.166027:0.376905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.384687:0.382566:0.393104:0.382566:0.393104:0.367651:0.384687:0.367651:0.000000
11:@0.393044:0.385449:0.402527:0.385449:0.402527:0.376739:0.393044:0.376739:0.000000:0.000000
a:@0.415796:0.382566:0.424213:0.382566:0.424213:0.367651:0.415796:0.367651:0.000000
12:@0.424152:0.385449:0.433635:0.385449:0.433635:0.376739:0.424152:0.376739:0.000000:0.000000
0:@0.389522:0.404008:0.397688:0.404008:0.397688:0.389068:0.389522:0.389068:0.000000
a:@0.416212:0.404008:0.423809:0.404008:0.423809:0.389068:0.416212:0.389068:0.000000
22:@0.423736:0.406892:0.433219:0.406892:0.433219:0.398182:0.423736:0.398182:0.000000:0.000000
 se llama matriz triangular superior. :@0.439382:0.393341:0.710455:0.393341:0.710455:0.376907:0.439382:0.376907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.706341:0.393341:0.710372:0.393341:0.710372:0.376907:0.706341:0.376907:0.000000
El elemento :@0.073094:0.422339:0.163743:0.422339:0.163743:0.405906:0.073094:0.405906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.163603:0.422339:0.172862:0.422339:0.172862:0.405933:0.163603:0.405933:0.000000
21:@0.172796:0.425511:0.183227:0.425511:0.183227:0.415930:0.172796:0.415930:0.000000:0.000000
 bajo la diagonal es siempre cero.:@0.183176:0.422338:0.423426:0.422338:0.423426:0.405904:0.183176:0.405904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 10:@0.073083:0.456842:0.158897:0.456842:0.158897:0.440173:0.073083:0.440173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las siguientes matrices son triangulares superiores: :@0.073083:0.487311:0.445969:0.487311:0.445969:0.470877:0.073083:0.470877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 –5:@0.452833:0.478330:0.491521:0.478330:0.491521:0.463391:0.452833:0.463391:0.000000:0.000000:0.000000:0.000000
0:@0.452833:0.499776:0.460999:0.499776:0.460999:0.484836:0.452833:0.484836:0.000000
3:@0.479205:0.499776:0.487371:0.499776:0.487371:0.484836:0.479205:0.484836:0.000000
, :@0.496518:0.487320:0.503679:0.487320:0.503679:0.470886:0.496518:0.470886:0.000000:0.000000
10 30:@0.510359:0.478330:0.557732:0.478330:0.557732:0.463391:0.510359:0.463391:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.514408:0.499776:0.522574:0.499776:0.522574:0.484836:0.514408:0.484836:0.000000
20:@0.541467:0.499776:0.557732:0.499776:0.557732:0.484836:0.541467:0.484836:0.000000:0.000000
.:@0.564023:0.487320:0.567225:0.487320:0.567225:0.470886:0.564023:0.470886:0.000000
5.10 Matriz triangular inferior:@0.073089:0.525404:0.304643:0.525404:0.304643:0.508457:0.073089:0.508457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.073089:0.557662:0.161328:0.557662:0.161328:0.540715:0.073089:0.540715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Una matriz real de la forma :@0.161536:0.557662:0.381749:0.557662:0.381749:0.541228:0.161536:0.541228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.389480:0.546885:0.397897:0.546885:0.397897:0.531970:0.389480:0.531970:0.000000
11:@0.397837:0.549769:0.407320:0.549769:0.407320:0.541059:0.397837:0.541059:0.000000:0.000000
0:@0.425424:0.546885:0.433590:0.546885:0.433590:0.531945:0.425424:0.531945:0.000000
a:@0.389480:0.568330:0.397897:0.568330:0.397897:0.553415:0.389480:0.553415:0.000000
21:@0.397837:0.571211:0.407320:0.571211:0.407320:0.562501:0.397837:0.562501:0.000000:0.000000
a:@0.420590:0.568327:0.429007:0.568327:0.429007:0.553413:0.420590:0.553413:0.000000
22:@0.428947:0.571211:0.438429:0.571211:0.438429:0.562501:0.428947:0.562501:0.000000:0.000000
 se llama matriz triangular inferior.  :@0.444235:0.557662:0.710372:0.557662:0.710372:0.541228:0.444235:0.541228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El elemento :@0.073094:0.587922:0.163754:0.587922:0.163754:0.571488:0.073094:0.571488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.163603:0.587922:0.172862:0.587922:0.172862:0.571516:0.163603:0.571516:0.000000
12:@0.172796:0.591092:0.183227:0.591092:0.183227:0.581511:0.172796:0.581511:0.000000:0.000000
 sobre la diagonal es siempre nulo.:@0.183176:0.587919:0.433256:0.587919:0.433256:0.571486:0.183176:0.571486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 11 :@0.073083:0.622424:0.162800:0.622424:0.162800:0.605754:0.073083:0.605754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las siguientes son matrices triangulares inferiores: :@0.073083:0.657357:0.437421:0.657357:0.437421:0.640924:0.073083:0.640924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.444292:0.647485:0.452458:0.647485:0.452458:0.632545:0.444292:0.632545:0.000000
0:@0.470664:0.647485:0.478830:0.647485:0.478830:0.632545:0.470664:0.632545:0.000000
5:@0.444292:0.668930:0.452458:0.668930:0.452458:0.653990:0.444292:0.653990:0.000000
5:@0.470664:0.668930:0.478830:0.668930:0.478830:0.653990:0.470664:0.653990:0.000000
,  :@0.487977:0.657368:0.499095:0.657368:0.499095:0.640934:0.487977:0.640934:0.000000:0.000000:0.000000
0:@0.506257:0.647485:0.514423:0.647485:0.514423:0.632545:0.506257:0.632545:0.000000
0:@0.532630:0.647485:0.540796:0.647485:0.540796:0.632545:0.532630:0.632545:0.000000
2:@0.506257:0.668930:0.514423:0.668930:0.514423:0.653990:0.506257:0.653990:0.000000
0:@0.532630:0.668930:0.540796:0.668930:0.540796:0.653990:0.532630:0.653990:0.000000
.:@0.549944:0.657368:0.553147:0.657368:0.553147:0.640934:0.549944:0.640934:0.000000
5.11 Matriz transpuesta:@0.073089:0.695451:0.258203:0.695451:0.258203:0.678504:0.073089:0.678504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.073089:0.722813:0.160775:0.722813:0.160775:0.705866:0.073089:0.705866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sea   = ( )    :@0.160928:0.722813:0.294341:0.722814:0.294341:0.706380:0.160928:0.706379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.198185:0.722813:0.208069:0.722813:0.208069:0.706407:0.198185:0.706407:0.000000
a:@0.235220:0.722813:0.244479:0.722813:0.244479:0.706407:0.235220:0.706407:0.000000
ij 2×2:@0.244638:0.725987:0.271476:0.725987:0.271476:0.716405:0.244638:0.716405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.277002:0.722398:0.290126:0.722398:0.290126:0.705410:0.277002:0.705410:0.000000
M:@0.295740:0.722814:0.309619:0.722814:0.309619:0.706408:0.295740:0.706408:0.000000
2×2:@0.309746:0.725987:0.326809:0.725987:0.326809:0.716405:0.309746:0.716405:0.000000:0.000000:0.000000
[ ]. La transpuesta de  , denotada  , es la matriz :@0.326904:0.722814:0.710394:0.722814:0.710394:0.706380:0.326904:0.706380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.331947:0.723397:0.345237:0.723397:0.345237:0.705742:0.331947:0.705742:0.000000
A:@0.499527:0.722814:0.509412:0.722814:0.509412:0.706408:0.499527:0.706408:0.000000
A:@0.596091:0.722814:0.605976:0.722814:0.605976:0.706408:0.596091:0.706408:0.000000
T:@0.606130:0.716750:0.611120:0.716750:0.611120:0.707169:0.606130:0.707169:0.000000
 :@0.706344:0.722814:0.710375:0.722814:0.710375:0.706380:0.706344:0.706380:0.000000
A:@0.073098:0.739456:0.082982:0.739456:0.082982:0.723050:0.073098:0.723050:0.000000
T:@0.082907:0.733392:0.087897:0.733392:0.087897:0.723811:0.082907:0.723811:0.000000
 = ( )  con   =  ,       = 1, 2,     = 1, 2.:@0.087850:0.739456:0.363912:0.739456:0.363912:0.723022:0.087850:0.723022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.111430:0.739456:0.120688:0.739456:0.120688:0.723050:0.111430:0.723050:0.000000
ij 2×2:@0.120631:0.742628:0.146657:0.742628:0.146657:0.733047:0.120631:0.733047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.182127:0.739456:0.191386:0.739456:0.191386:0.723050:0.182127:0.723050:0.000000
ij:@0.191322:0.742628:0.195819:0.742628:0.195819:0.733047:0.191322:0.733047:0.000000:0.000000
a:@0.214561:0.739456:0.223820:0.739456:0.223820:0.723050:0.214561:0.723050:0.000000
ji:@0.223751:0.742628:0.228247:0.742628:0.228247:0.733047:0.223751:0.733047:0.000000:0.000000
i:@0.251076:0.739456:0.254868:0.739456:0.254868:0.723050:0.251076:0.723050:0.000000
j:@0.313440:0.739456:0.317066:0.739456:0.317066:0.723050:0.313440:0.723050:0.000000
Si    = :@0.073078:0.777968:0.121894:0.777968:0.121894:0.761534:0.073078:0.761534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.093197:0.777968:0.103081:0.777968:0.103081:0.761562:0.093197:0.761562:0.000000
a:@0.127805:0.768085:0.136222:0.768085:0.136222:0.753170:0.127805:0.753170:0.000000
11:@0.136161:0.770969:0.145644:0.770969:0.145644:0.762259:0.136161:0.762259:0.000000:0.000000
a:@0.158914:0.768085:0.167331:0.768085:0.167331:0.753170:0.158914:0.753170:0.000000
12:@0.167271:0.770969:0.176754:0.770969:0.176754:0.762259:0.167271:0.762259:0.000000:0.000000
a:@0.127805:0.789528:0.136222:0.789528:0.136222:0.774613:0.127805:0.774613:0.000000
21:@0.136161:0.792412:0.145644:0.792412:0.145644:0.783702:0.136161:0.783702:0.000000:0.000000
a:@0.158914:0.789528:0.167331:0.789528:0.167331:0.774613:0.158914:0.774613:0.000000
22:@0.167271:0.792412:0.176754:0.792412:0.176754:0.783702:0.167271:0.783702:0.000000:0.000000
,    = :@0.182256:0.777968:0.228970:0.777968:0.228970:0.761534:0.182256:0.761534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AT:@0.193279:0.777968:0.210140:0.777968:0.210140:0.761562:0.193279:0.761562:0.000000:0.000000
a:@0.234851:0.768979:0.243268:0.768979:0.243268:0.754064:0.234851:0.754064:0.000000
11:@0.243208:0.771863:0.252690:0.771863:0.252690:0.763153:0.243208:0.763153:0.000000:0.000000
a:@0.265961:0.768979:0.274378:0.768979:0.274378:0.754064:0.265961:0.754064:0.000000
21:@0.274317:0.771863:0.283800:0.771863:0.283800:0.763153:0.274317:0.763153:0.000000:0.000000
a:@0.234851:0.790422:0.243268:0.790422:0.243268:0.775507:0.234851:0.775507:0.000000
12:@0.243208:0.793306:0.252690:0.793306:0.252690:0.784596:0.243208:0.784596:0.000000:0.000000
a:@0.265961:0.790422:0.274378:0.790422:0.274378:0.775507:0.265961:0.775507:0.000000
22:@0.274317:0.793306:0.283800:0.793306:0.283800:0.784596:0.274317:0.784596:0.000000:0.000000
.:@0.289301:0.777968:0.292504:0.777968:0.292504:0.761534:0.289301:0.761534:0.000000
Ejercicio 12:@0.073089:0.823200:0.159676:0.823200:0.159676:0.806530:0.073089:0.806530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Sea   = :@0.073089:0.858137:0.161604:0.858137:0.161604:0.841704:0.073089:0.841704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.132908:0.858137:0.142792:0.858137:0.142792:0.841731:0.132908:0.841731:0.000000
x:@0.173034:0.848254:0.179811:0.848254:0.179811:0.833340:0.173034:0.833340:0.000000
y:@0.204142:0.848254:0.210936:0.848254:0.210936:0.833340:0.204142:0.833340:0.000000
u:@0.172197:0.869700:0.180665:0.869700:0.180665:0.854785:0.172197:0.854785:0.000000
v:@0.204025:0.869700:0.211053:0.869700:0.211053:0.854785:0.204025:0.854785:0.000000
 con :@0.221957:0.858137:0.257594:0.858137:0.257594:0.841704:0.221957:0.841704:0.000000:0.000000:0.000000:0.000000:0.000000
x, y, u, v:@0.257485:0.858137:0.307899:0.858137:0.307899:0.841731:0.257485:0.841731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    . Entonces,  =  :@0.307884:0.858137:0.459647:0.858137:0.459647:0.841704:0.307884:0.841704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.311841:0.857721:0.324966:0.857721:0.324966:0.840733:0.311841:0.840733:0.000000
ℝ:@0.328831:0.858720:0.342121:0.858720:0.342121:0.841066:0.328831:0.841066:0.000000
 A:@0.419064:0.858137:0.432188:0.858137:0.432188:0.841731:0.419064:0.841731:0.000000:0.000000
T:@0.432109:0.852074:0.436842:0.852074:0.436842:0.842509:0.432109:0.842509:0.000000
x:@0.471054:0.849148:0.477831:0.849148:0.477831:0.834234:0.471054:0.834234:0.000000
u:@0.501326:0.849148:0.509793:0.849148:0.509793:0.834234:0.501326:0.834234:0.000000
y:@0.471054:0.870594:0.477848:0.870594:0.477848:0.855679:0.471054:0.855679:0.000000
v:@0.502045:0.870594:0.509074:0.870594:0.509074:0.855679:0.502045:0.855679:0.000000
. :@0.519976:0.858137:0.527210:0.858137:0.527210:0.841704:0.519976:0.841704:0.000000:0.000000
2.  Si   = :@0.073089:0.903796:0.148167:0.903796:0.148167:0.887362:0.073089:0.887362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.119470:0.903796:0.129355:0.903796:0.129355:0.887390:0.119470:0.887390:0.000000
3:@0.158892:0.893914:0.167058:0.893914:0.167058:0.878974:0.158892:0.878974:0.000000
–5:@0.185851:0.893914:0.202317:0.893914:0.202317:0.878974:0.185851:0.878974:0.000000:0.000000
8:@0.158892:0.915359:0.167058:0.915359:0.167058:0.900419:0.158892:0.900419:0.000000
10:@0.185951:0.915359:0.202216:0.915359:0.202216:0.900419:0.185951:0.900419:0.000000:0.000000
, entonces ,   = :@0.208508:0.903796:0.327391:0.903796:0.327391:0.887362:0.208508:0.887362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.293991:0.903796:0.303876:0.903796:0.303876:0.887390:0.293991:0.887390:0.000000
T:@0.303811:0.897732:0.308543:0.897732:0.308543:0.888168:0.303811:0.888168:0.000000
3:@0.338110:0.893914:0.346276:0.893914:0.346276:0.878974:0.338110:0.878974:0.000000
8:@0.369219:0.893914:0.377385:0.893914:0.377385:0.878974:0.369219:0.878974:0.000000
–5 10:@0.333960:0.915359:0.381434:0.915359:0.381434:0.900419:0.333960:0.900419:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.387726:0.903796:0.390929:0.903796:0.390929:0.887362:0.387726:0.887362:0.000000
Competencia :@0.740294:0.146688:0.848854:0.146688:0.848854:0.129741:0.740294:0.129741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.163330:0.837769:0.163330:0.837769:0.146383:0.740294:0.146383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.300722:0.848854:0.300722:0.848854:0.283775:0.740294:0.283775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.317364:0.837769:0.317364:0.837769:0.300417:0.740294:0.300417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Toda matriz diagonal :@0.745475:0.186502:0.887548:0.186502:0.887548:0.171562:0.745475:0.171562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es una matriz triangular :@0.745475:0.201631:0.904518:0.201631:0.904518:0.186691:0.745475:0.186691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
superior e inferior::@0.745475:0.216760:0.864810:0.216760:0.864810:0.201820:0.745475:0.201820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 0:@0.783176:0.234978:0.815338:0.234978:0.815338:0.220038:0.783176:0.220038:0.000000:0.000000:0.000000
0 0:@0.783176:0.256423:0.815338:0.256423:0.815338:0.241483:0.783176:0.241483:0.000000:0.000000:0.000000
  :@0.822122:0.262733:0.830111:0.262733:0.830111:0.246299:0.822122:0.246299:0.000000:0.000000
–2 0:@0.837876:0.234983:0.878924:0.234983:0.878924:0.220043:0.837876:0.220043:0.000000:0.000000:0.000000:0.000000
0:@0.842026:0.256428:0.850192:0.256428:0.850192:0.241488:0.842026:0.241488:0.000000
0:@0.870758:0.256428:0.878924:0.256428:0.878924:0.241488:0.870758:0.241488:0.000000
Teorema.:@0.746659:0.337851:0.812837:0.337851:0.812837:0.322444:0.746659:0.322444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,      , :@0.746659:0.352980:0.841258:0.352980:0.841258:0.338040:0.746659:0.338040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.807238:0.352601:0.819169:0.352601:0.819169:0.337157:0.807238:0.337157:0.000000
ℝ:@0.822683:0.353509:0.834765:0.353509:0.834765:0.337460:0.822683:0.337460:0.000000
A, B:@0.746661:0.368109:0.769519:0.368109:0.769519:0.353194:0.746661:0.353194:0.000000:0.000000:0.000000:0.000000
   :@0.769486:0.368109:0.788596:0.368109:0.788596:0.353169:0.769486:0.353169:0.000000:0.000000:0.000000
∈:@0.773084:0.367730:0.785015:0.367730:0.785015:0.352286:0.773084:0.352286:0.000000
M:@0.788529:0.368109:0.801146:0.368109:0.801146:0.353194:0.788529:0.353194:0.000000
2×2:@0.801063:0.370993:0.816321:0.370993:0.816321:0.362283:0.801063:0.362283:0.000000:0.000000:0.000000
 [ ]. Se :@0.816271:0.368109:0.866583:0.368109:0.866583:0.353169:0.816271:0.353169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.824219:0.368638:0.836301:0.368638:0.836301:0.352589:0.824219:0.352589:0.000000
verifican las siguientes :@0.746658:0.383237:0.897242:0.383237:0.897242:0.368298:0.746658:0.368298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades::@0.746658:0.398366:0.832730:0.398366:0.832730:0.383427:0.746658:0.383427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  =  ,:@0.746658:0.413495:0.802972:0.413495:0.802972:0.398556:0.746658:0.398556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.751025:0.413495:0.760011:0.413495:0.760011:0.398581:0.751025:0.398581:0.000000
T T:@0.759948:0.407983:0.774099:0.407983:0.774099:0.399273:0.759948:0.399273:0.000000:0.000000:0.000000
A:@0.791141:0.413495:0.800127:0.413495:0.800127:0.398581:0.791141:0.398581:0.000000
(α  + λ )  = α  + λ ,:@0.746663:0.428624:0.888750:0.428624:0.888750:0.413684:0.746663:0.413684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.759849:0.428624:0.768835:0.428624:0.768835:0.413710:0.759849:0.413710:0.000000
B:@0.793200:0.428624:0.801232:0.428624:0.801232:0.413710:0.793200:0.413710:0.000000
T:@0.805547:0.423112:0.810084:0.423112:0.810084:0.414402:0.805547:0.414402:0.000000
A:@0.835946:0.428624:0.844932:0.428624:0.844932:0.413710:0.835946:0.413710:0.000000
T:@0.844879:0.423112:0.849415:0.423112:0.849415:0.414402:0.844879:0.414402:0.000000
B:@0.873805:0.428624:0.881837:0.428624:0.881837:0.413710:0.873805:0.413710:0.000000
T:@0.881784:0.423112:0.886320:0.423112:0.886320:0.414402:0.881784:0.414402:0.000000
(:@0.746663:0.443753:0.751097:0.443753:0.751097:0.428813:0.746663:0.428813:0.000000
AB:@0.751030:0.443753:0.767982:0.443753:0.767982:0.428839:0.751030:0.428839:0.000000:0.000000
)  =    .:@0.767931:0.443753:0.825805:0.443753:0.825805:0.428813:0.767931:0.428813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.772281:0.438241:0.776817:0.438241:0.776817:0.429531:0.772281:0.429531:0.000000
B A:@0.793859:0.443753:0.818906:0.443753:0.818906:0.428839:0.793859:0.428839:0.000000:0.000000:0.000000
T:@0.801828:0.438241:0.806364:0.438241:0.806364:0.429531:0.801828:0.429531:0.000000
T:@0.818839:0.438241:0.823376:0.438241:0.823376:0.429531:0.818839:0.429531:0.000000
Cuando ves el pronóstico :@0.740294:0.542327:0.903205:0.542327:0.903205:0.528134:0.740294:0.528134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del tiempo en tu celular, :@0.740294:0.556700:0.895611:0.556700:0.895611:0.542507:0.740294:0.542507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
detrás hay un modelo :@0.740294:0.571072:0.881375:0.571072:0.881375:0.556879:0.740294:0.556879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemático que usa :@0.740294:0.585445:0.872789:0.585445:0.872789:0.571252:0.740294:0.571252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matrices triangulares para :@0.740294:0.599817:0.905636:0.599817:0.905636:0.585624:0.740294:0.585624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular cómo se moverán :@0.740294:0.614190:0.908505:0.614190:0.908505:0.599997:0.740294:0.599997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las nubes, la lluvia o el :@0.740294:0.628562:0.881168:0.628562:0.881168:0.614369:0.740294:0.614369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
viento.:@0.740294:0.642935:0.782394:0.642935:0.782394:0.628742:0.740294:0.628742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aunque ahora no lo uses :@0.740294:0.791762:0.901834:0.791762:0.901834:0.777569:0.740294:0.777569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos los días, las matrices :@0.740294:0.806134:0.910398:0.806134:0.910398:0.791941:0.740294:0.791941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triangulares están en la base :@0.740294:0.820507:0.923482:0.820507:0.923482:0.806314:0.740294:0.806314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de muchas tecnologías que :@0.740294:0.834879:0.919348:0.834879:0.919348:0.820686:0.740294:0.820686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sí usas, como aplicaciones, :@0.740294:0.849252:0.911621:0.849252:0.911621:0.835059:0.740294:0.835059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
videojuegos, internet y :@0.740294:0.863624:0.888883:0.863624:0.888883:0.849431:0.740294:0.849431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta en el estudio del :@0.740294:0.877997:0.886301:0.877997:0.886301:0.863804:0.740294:0.863804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medio ambiente o la :@0.740294:0.892369:0.875795:0.892369:0.875795:0.878176:0.740294:0.878176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medicina. Son herramientas :@0.740294:0.906742:0.920746:0.906742:0.920746:0.892549:0.740294:0.892549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas que hacen :@0.740294:0.921114:0.896350:0.921114:0.896350:0.906921:0.740294:0.906921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nuestra vida más fácil:@0.740294:0.935487:0.876199:0.935487:0.876199:0.921294:0.740294:0.921294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740294:0.482814:0.906668:0.482814:0.906668:0.465867:0.740294:0.465867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas y  :@0.740294:0.499455:0.853093:0.499455:0.853093:0.483022:0.740294:0.483022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vida cotidiana:@0.740294:0.516097:0.841883:0.516097:0.841883:0.499664:0.740294:0.499664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000