﻿64:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Sistemas de ecuaciones:@0.073089:0.043661:0.282490:0.043661:0.282490:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.1 El conjunto de matrices M  [ ]:@0.293660:0.206750:0.568290:0.206750:0.568290:0.189803:0.293660:0.189803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2x2:@0.523675:0.206140:0.540395:0.206140:0.540395:0.196260:0.523675:0.196260:0.000000:0.000000:0.000000
ℝ:@0.549551:0.207332:0.562841:0.207332:0.562841:0.189678:0.549551:0.189678:0.000000
Una matriz de 2 × 2 con coeficientes en   es un arreglo rectangular:@0.293672:0.233862:0.783406:0.233862:0.783406:0.217428:0.293672:0.217428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.584783:0.234444:0.598073:0.234444:0.598073:0.216790:0.584783:0.216790:0.000000
de la forma :@0.293672:0.260974:0.379474:0.260974:0.379474:0.244540:0.293672:0.244540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.383554:0.251877:0.392813:0.251877:0.392813:0.235471:0.383554:0.235471:0.000000
11:@0.392678:0.255050:0.403109:0.255050:0.403109:0.245469:0.392678:0.245469:0.000000:0.000000
a:@0.417022:0.251878:0.426281:0.251878:0.426281:0.235472:0.417022:0.235472:0.000000
12:@0.426159:0.255050:0.436590:0.255050:0.436590:0.245469:0.426159:0.245469:0.000000:0.000000
a:@0.383541:0.273319:0.392800:0.273319:0.392800:0.256913:0.383541:0.256913:0.000000
21:@0.392678:0.276492:0.403109:0.276492:0.403109:0.266911:0.392678:0.266911:0.000000:0.000000
a:@0.417022:0.273319:0.426281:0.273319:0.426281:0.256913:0.417022:0.256913:0.000000
22:@0.426159:0.276492:0.436590:0.276492:0.436590:0.266911:0.426159:0.266911:0.000000:0.000000
 , donde :@0.444491:0.260972:0.507812:0.260972:0.507812:0.244538:0.444491:0.244538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a a a:@0.507675:0.260972:0.596864:0.260972:0.596864:0.244566:0.507675:0.244566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.516868:0.264144:0.527299:0.264144:0.527299:0.254563:0.516868:0.254563:0.000000:0.000000
, :@0.527247:0.260972:0.534407:0.260972:0.534407:0.244538:0.527247:0.244538:0.000000:0.000000
12:@0.543513:0.264144:0.553944:0.264144:0.553944:0.254563:0.543513:0.254563:0.000000:0.000000
, :@0.553892:0.260972:0.561052:0.260972:0.561052:0.244538:0.553892:0.244538:0.000000:0.000000
21:@0.570159:0.264144:0.580590:0.264144:0.580590:0.254563:0.570159:0.254563:0.000000:0.000000
, :@0.580537:0.260972:0.587698:0.260972:0.587698:0.244538:0.580537:0.244538:0.000000:0.000000
22:@0.596804:0.264144:0.606677:0.264144:0.606677:0.254579:0.596804:0.254579:0.000000:0.000000
    . :@0.606642:0.260972:0.642874:0.260972:0.642874:0.244538:0.606642:0.244538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.622442:0.261554:0.635732:0.261554:0.635732:0.243900:0.622442:0.243900:0.000000
A las matrices de 2 × 2 las notaremos en forma abreviada como:@0.293652:0.295476:0.753209:0.295476:0.753209:0.279042:0.293652:0.279042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.293652:0.319260:0.303536:0.319260:0.303536:0.302854:0.293652:0.302854:0.000000
 = ( )  o simplemente   = ( ) si no hay peligro de confusión, donde      ,   = 1, 2,  :@0.303463:0.319260:0.930928:0.319272:0.930928:0.302839:0.303463:0.302826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.328055:0.319260:0.337314:0.319260:0.337314:0.302854:0.328055:0.302854:0.000000
ij:@0.337240:0.322445:0.341522:0.322445:0.341522:0.312880:0.337240:0.312880:0.000000:0.000000
2×2:@0.346276:0.322445:0.363060:0.322445:0.363060:0.312864:0.346276:0.312864:0.000000:0.000000:0.000000
A:@0.482959:0.319272:0.492843:0.319272:0.492843:0.302866:0.482959:0.302866:0.000000
a:@0.517822:0.319272:0.527081:0.319272:0.527081:0.302866:0.517822:0.302866:0.000000
ij:@0.527089:0.322445:0.531425:0.322445:0.531425:0.312880:0.527089:0.312880:0.000000:0.000000
a:@0.822927:0.319272:0.832186:0.319272:0.832186:0.302866:0.822927:0.302866:0.000000
ij:@0.832193:0.322445:0.836528:0.322445:0.836528:0.312880:0.832193:0.312880:0.000000:0.000000
ℝ:@0.853562:0.319855:0.866852:0.319855:0.866852:0.302201:0.853562:0.302201:0.000000
i:@0.874509:0.319272:0.878301:0.319272:0.878301:0.302866:0.874509:0.302866:0.000000
j:@0.293650:0.335914:0.297276:0.335914:0.297276:0.319508:0.293650:0.319508:0.000000
 = 1, 2 se denominan componentes o coeficientes de la matriz. Los números enteros :@0.297313:0.335914:0.931020:0.335914:0.931020:0.319480:0.297313:0.319480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positivos   se llaman índices de la matriz. El primer índice   se utiliza para identificar las filas. :@0.293650:0.352556:0.930802:0.352556:0.930802:0.336122:0.293650:0.336122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i, j:@0.359603:0.352556:0.372562:0.352556:0.372562:0.336150:0.359603:0.336150:0.000000:0.000000:0.000000:0.000000
i:@0.698260:0.352556:0.702052:0.352556:0.702052:0.336150:0.698260:0.336150:0.000000
Así,  = 1 designa la primera fila e  = 2 designa la segunda fila de la matriz. El índice  se utiliza :@0.293650:0.369198:0.930928:0.369198:0.930928:0.352764:0.293650:0.352764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.320157:0.369198:0.323948:0.369198:0.323948:0.352792:0.320157:0.352792:0.000000
i:@0.519489:0.369198:0.523281:0.369198:0.523281:0.352792:0.519489:0.352792:0.000000
j:@0.861017:0.369198:0.864643:0.369198:0.864643:0.352792:0.861017:0.352792:0.000000
para identificar las columnas de la matriz. Así,   = 1 designa a la primera columna y   = 2 :@0.293632:0.385840:0.930900:0.385840:0.930900:0.369406:0.293632:0.369406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.625238:0.385840:0.628865:0.385840:0.628865:0.369434:0.625238:0.369434:0.000000
j:@0.894518:0.385840:0.898144:0.385840:0.898144:0.369434:0.894518:0.369434:0.000000
designa a la segunda columna de la matriz  .:@0.293613:0.402481:0.611875:0.402481:0.611875:0.386048:0.293613:0.386048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.599045:0.402481:0.608930:0.402481:0.608930:0.386075:0.599045:0.386075:0.000000
Ejercicios 1:@0.293613:0.433421:0.378047:0.433421:0.378047:0.416752:0.293613:0.416752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.293660:0.467462:0.310668:0.467462:0.310668:0.450792:0.293660:0.450792:0.000000:0.000000:0.000000
Las siguientes son matrices de 2 × 2: A = :@0.323858:0.467462:0.620992:0.467462:0.620992:0.451028:0.323858:0.451028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3:@0.626050:0.456686:0.642516:0.456686:0.642516:0.441746:0.626050:0.441746:0.000000:0.000000
500:@0.668643:0.447564:0.693007:0.447564:0.693007:0.432625:0.668643:0.432625:0.000000:0.000000:0.000000
7:@0.676742:0.463954:0.684908:0.463954:0.684908:0.449014:0.676742:0.449014:0.000000
1:@0.636179:0.483483:0.644345:0.483483:0.644345:0.468543:0.636179:0.468543:0.000000
π:@0.676424:0.483483:0.685243:0.483483:0.685243:0.468543:0.676424:0.468543:0.000000
 ,:@0.701230:0.467462:0.708391:0.467462:0.708391:0.451028:0.701230:0.451028:0.000000:0.000000
B =  :@0.322121:0.515980:0.354187:0.515980:0.354187:0.499546:0.322121:0.499546:0.000000:0.000000:0.000000:0.000000:0.000000
  2:@0.361859:0.498950:0.377221:0.498950:0.377221:0.484010:0.361859:0.484010:0.000000:0.000000:0.000000
0 – :@0.367264:0.531112:0.402623:0.531112:0.402623:0.516172:0.367264:0.516172:0.000000:0.000000:0.000000:0.000000
1:@0.410429:0.522794:0.418595:0.522794:0.418595:0.507855:0.410429:0.507855:0.000000
3:@0.410429:0.539184:0.418595:0.539184:0.418595:0.524244:0.410429:0.524244:0.000000
  5:@0.406306:0.493162:0.421668:0.493162:0.421668:0.478222:0.406306:0.478222:0.000000:0.000000:0.000000
8:@0.409904:0.509552:0.418070:0.509552:0.418070:0.494612:0.409904:0.494612:0.000000
 . Los elementos de estas matrices son:@0.437039:0.515980:0.712870:0.515980:0.712870:0.499546:0.437039:0.499546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.561308:0.297691:0.561308:0.297691:0.544874:0.293660:0.544874:0.000000
respectivamente los números reales :@0.353907:0.561308:0.618900:0.561308:0.618900:0.544874:0.353907:0.544874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.618607:0.561308:0.627866:0.561308:0.627866:0.544902:0.618607:0.544902:0.000000
11:@0.627799:0.564480:0.638230:0.564480:0.638230:0.554899:0.627799:0.554899:0.000000:0.000000
 = –3, :@0.638179:0.561308:0.682190:0.561308:0.682190:0.544874:0.638179:0.544874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.682062:0.561308:0.691320:0.561308:0.691320:0.544902:0.682062:0.544902:0.000000
12:@0.691258:0.564480:0.701689:0.564480:0.701689:0.554899:0.691258:0.554899:0.000000:0.000000
 = :@0.701638:0.561308:0.720524:0.561308:0.720524:0.544874:0.701638:0.544874:0.000000:0.000000:0.000000
500:@0.722484:0.551683:0.746848:0.551683:0.746848:0.536743:0.722484:0.536743:0.000000:0.000000:0.000000
7:@0.730583:0.568073:0.738749:0.568073:0.738749:0.553133:0.730583:0.553133:0.000000
 , :@0.748810:0.561308:0.759928:0.561308:0.759928:0.544874:0.748810:0.544874:0.000000:0.000000:0.000000
a:@0.759836:0.561308:0.769094:0.561308:0.769094:0.544902:0.759836:0.544902:0.000000
21:@0.769026:0.564480:0.779457:0.564480:0.779457:0.554899:0.769026:0.554899:0.000000:0.000000
 = 1,:@0.779404:0.561308:0.810328:0.561308:0.810328:0.544874:0.779404:0.544874:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.593131:0.297691:0.593131:0.297691:0.576698:0.293660:0.576698:0.000000
a:@0.353902:0.593131:0.363161:0.593131:0.363161:0.576725:0.353902:0.576725:0.000000
22:@0.363094:0.596304:0.373525:0.596304:0.373525:0.586723:0.363094:0.586723:0.000000:0.000000
= π; :@0.373474:0.593131:0.405116:0.593131:0.405116:0.576698:0.373474:0.576698:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.405006:0.593131:0.414264:0.593131:0.414264:0.576725:0.405006:0.576725:0.000000
11:@0.414199:0.596304:0.424630:0.596304:0.424630:0.586723:0.414199:0.586723:0.000000:0.000000
= 2, :@0.424579:0.593131:0.455503:0.593131:0.455503:0.576698:0.424579:0.576698:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.455393:0.593131:0.464652:0.593131:0.464652:0.576725:0.455393:0.576725:0.000000
12:@0.464587:0.596304:0.475017:0.596304:0.475017:0.586723:0.464587:0.586723:0.000000:0.000000
= :@0.474967:0.593131:0.489895:0.593131:0.489895:0.576698:0.474967:0.576698:0.000000:0.000000
  5:@0.495176:0.583943:0.510538:0.583943:0.510538:0.569003:0.495176:0.569003:0.000000:0.000000:0.000000
8:@0.498774:0.600333:0.506940:0.600333:0.506940:0.585393:0.498774:0.585393:0.000000
, :@0.515816:0.593131:0.522976:0.593131:0.522976:0.576698:0.515816:0.576698:0.000000:0.000000
b:@0.522887:0.593131:0.532146:0.593131:0.532146:0.576725:0.522887:0.576725:0.000000
21:@0.532079:0.596304:0.542510:0.596304:0.542510:0.586723:0.532079:0.586723:0.000000:0.000000
 = 0, :@0.542459:0.593131:0.577341:0.593131:0.577341:0.576698:0.542459:0.576698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.577231:0.593131:0.586489:0.593131:0.586489:0.576725:0.577231:0.576725:0.000000
22:@0.586417:0.596304:0.596848:0.596304:0.596848:0.586723:0.586417:0.586723:0.000000:0.000000
 = –   .:@0.596797:0.593131:0.649971:0.593131:0.649971:0.576698:0.596797:0.576698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.631694:0.583507:0.639860:0.583507:0.639860:0.568567:0.631694:0.568567:0.000000
3:@0.631694:0.599897:0.639860:0.599897:0.639860:0.584957:0.631694:0.584957:0.000000
2. :@0.293660:0.632536:0.310668:0.632536:0.310668:0.615866:0.293660:0.615866:0.000000:0.000000:0.000000
La matriz  :@0.323860:0.632536:0.397757:0.632536:0.397757:0.616102:0.323860:0.616102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.407241:0.621760:0.415407:0.621760:0.415407:0.606821:0.407241:0.606821:0.000000
0:@0.435973:0.621760:0.444139:0.621760:0.444139:0.606821:0.435973:0.606821:0.000000
0:@0.407241:0.643206:0.415407:0.643206:0.415407:0.628266:0.407241:0.628266:0.000000
0:@0.435973:0.643206:0.444139:0.643206:0.444139:0.628266:0.435973:0.628266:0.000000
  se llama matriz nula y se nota con 0, esto es, 0 =  :@0.453300:0.632536:0.814671:0.632536:0.814671:0.616102:0.453300:0.616102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.823866:0.621760:0.832032:0.621760:0.832032:0.606821:0.823866:0.606821:0.000000
0:@0.852598:0.621760:0.860764:0.621760:0.860764:0.606821:0.852598:0.606821:0.000000
0:@0.823866:0.643206:0.832032:0.643206:0.832032:0.628266:0.823866:0.628266:0.000000
0:@0.852598:0.643206:0.860764:0.643206:0.860764:0.628266:0.852598:0.628266:0.000000
            :@0.870006:0.632536:0.918381:0.632536:0.918381:0.616102:0.870006:0.616102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.293660:0.685114:0.310668:0.685114:0.310668:0.668444:0.293660:0.668444:0.000000:0.000000:0.000000
Sea C =  :@0.323858:0.685114:0.386767:0.685114:0.386767:0.668680:0.323858:0.668680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.430053:0.665320:0.438219:0.665320:0.438219:0.650381:0.430053:0.650381:0.000000
2:@0.430053:0.681710:0.438219:0.681710:0.438219:0.666770:0.430053:0.666770:0.000000
–2:@0.392962:0.673313:0.411075:0.673313:0.411075:0.656880:0.392962:0.656880:0.000000:0.000000
–4:@0.420628:0.700121:0.438741:0.700121:0.438741:0.683687:0.420628:0.683687:0.000000:0.000000
5:@0.402320:0.698260:0.410486:0.698260:0.410486:0.683320:0.402320:0.683320:0.000000
 . Se tiene   = –2,   =  ,:@0.450625:0.685114:0.639778:0.685114:0.639778:0.668680:0.450625:0.668680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.523794:0.685114:0.531452:0.685114:0.531452:0.668708:0.523794:0.668708:0.000000
11:@0.531395:0.688286:0.541826:0.688286:0.541826:0.678705:0.531395:0.678705:0.000000:0.000000
c:@0.585658:0.685114:0.593315:0.685114:0.593315:0.668708:0.585658:0.668708:0.000000
12:@0.593255:0.688286:0.603686:0.688286:0.603686:0.678705:0.593255:0.678705:0.000000:0.000000
1:@0.625458:0.676383:0.633624:0.676383:0.633624:0.661444:0.625458:0.661444:0.000000
2:@0.625458:0.692773:0.633624:0.692773:0.633624:0.677833:0.625458:0.677833:0.000000
 c:@0.639705:0.685114:0.650602:0.685114:0.650602:0.668708:0.639705:0.668708:0.000000:0.000000
21:@0.650535:0.688286:0.660966:0.688286:0.660966:0.678705:0.650535:0.678705:0.000000:0.000000
 = 5,   = – 4.:@0.660915:0.685114:0.757665:0.685114:0.757665:0.668680:0.660915:0.668680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.695686:0.685114:0.703344:0.685114:0.703344:0.668708:0.695686:0.668708:0.000000
22:@0.703273:0.688286:0.713704:0.688286:0.713704:0.678705:0.703273:0.678705:0.000000:0.000000
La primera fila de   es el vector   –2,       ; la segunda fila de   es el:@0.323788:0.719812:0.792455:0.719812:0.792455:0.703378:0.323788:0.703378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.452215:0.719812:0.462118:0.719812:0.462118:0.703406:0.452215:0.703406:0.000000
C:@0.746308:0.719812:0.756211:0.719812:0.756211:0.703406:0.746308:0.703406:0.000000
vector (5, –4); la primera columna de   es el vector columna :@0.323769:0.748603:0.760459:0.748603:0.760459:0.732169:0.323769:0.732169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.592110:0.748603:0.602013:0.748603:0.602013:0.732197:0.592110:0.732197:0.000000
–2:@0.768771:0.739013:0.785238:0.739013:0.785238:0.724074:0.768771:0.724074:0.000000:0.000000
5:@0.772921:0.761946:0.781088:0.761946:0.781088:0.747007:0.772921:0.747007:0.000000
 ;:@0.792609:0.748598:0.799769:0.748598:0.799769:0.732164:0.792609:0.732164:0.000000:0.000000
la segunda columna de   es el vector columna            .:@0.323781:0.780961:0.713128:0.780961:0.713128:0.764527:0.323781:0.764527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.498116:0.780961:0.508019:0.780961:0.508019:0.764555:0.498116:0.764555:0.000000
Denotamos con :@0.323763:0.816893:0.445114:0.816893:0.445114:0.800460:0.323763:0.800460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.444956:0.816893:0.458835:0.816893:0.458835:0.800487:0.444956:0.800487:0.000000
2×2 :@0.458780:0.820068:0.477871:0.820068:0.477871:0.810487:0.458780:0.810487:0.000000:0.000000:0.000000:0.000000
[  ] al conjunto de todas las matrices reales de 2 × 2; esto es,:@0.477811:0.816896:0.920703:0.816896:0.920703:0.800462:0.477811:0.800462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ :@0.486555:0.817478:0.504355:0.817478:0.504355:0.799824:0.486555:0.799824:0.000000:0.000000
M:@0.323779:0.845686:0.337658:0.845686:0.337658:0.829280:0.323779:0.829280:0.000000
2×2 :@0.337593:0.848857:0.356684:0.848857:0.356684:0.839276:0.337593:0.839276:0.000000:0.000000:0.000000:0.000000
[  ] =   :@0.356626:0.845685:0.414848:0.845685:0.414848:0.829251:0.356626:0.829251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ :@0.365370:0.846268:0.383170:0.846268:0.383170:0.828613:0.365370:0.828613:0.000000:0.000000
A = a:@0.414768:0.845685:0.456737:0.845685:0.456737:0.829279:0.414768:0.829279:0.000000:0.000000:0.000000:0.000000:0.000000
 ( )  | :@0.438734:0.845685:0.494271:0.845685:0.494271:0.829251:0.438734:0.829251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ij:@0.456680:0.848857:0.460962:0.848857:0.460962:0.839293:0.456680:0.839293:0.000000:0.000000
2×2:@0.465724:0.848857:0.482508:0.848857:0.482508:0.839276:0.465724:0.839276:0.000000:0.000000:0.000000
a:@0.494179:0.845685:0.503438:0.845685:0.503438:0.829279:0.494179:0.829279:0.000000
ij :@0.503367:0.848857:0.509538:0.848857:0.509538:0.839293:0.503367:0.839293:0.000000:0.000000:0.000000
∈:@0.509509:0.845130:0.522036:0.845130:0.522036:0.828914:0.509509:0.828914:0.000000
  ,   = 1, 2,     = 1, 2  .:@0.521947:0.845685:0.667066:0.845685:0.667066:0.829251:0.521947:0.829251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.525904:0.846268:0.539194:0.846268:0.539194:0.828613:0.525904:0.828613:0.000000
i:@0.546171:0.845685:0.549963:0.845685:0.549963:0.829279:0.546171:0.829279:0.000000
j:@0.608535:0.845685:0.612161:0.845685:0.612161:0.829279:0.608535:0.829279:0.000000
O también, :@0.323781:0.881517:0.408583:0.881517:0.408583:0.865083:0.323781:0.865083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.408436:0.881517:0.422315:0.881517:0.422315:0.865111:0.408436:0.865111:0.000000
2×2 :@0.422245:0.884689:0.441336:0.884689:0.441336:0.875108:0.422245:0.875108:0.000000:0.000000:0.000000:0.000000
[  ]  =     :@0.441278:0.881517:0.511359:0.881517:0.511359:0.865083:0.441278:0.865083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ :@0.450021:0.882099:0.467821:0.882099:0.467821:0.864445:0.450021:0.864445:0.000000:0.000000
a:@0.518438:0.870740:0.526855:0.870740:0.526855:0.855825:0.518438:0.855825:0.000000
11:@0.526793:0.873624:0.536276:0.873624:0.536276:0.864914:0.526793:0.864914:0.000000:0.000000
a:@0.551917:0.870740:0.560334:0.870740:0.560334:0.855825:0.551917:0.855825:0.000000
12:@0.560274:0.873624:0.569757:0.873624:0.569757:0.864914:0.560274:0.864914:0.000000:0.000000
a:@0.518438:0.892183:0.526855:0.892183:0.526855:0.877268:0.518438:0.877268:0.000000
21:@0.526793:0.895067:0.536276:0.895067:0.536276:0.886357:0.526793:0.886357:0.000000:0.000000
a:@0.551917:0.892183:0.560334:0.892183:0.560334:0.877268:0.551917:0.877268:0.000000
22:@0.560274:0.895067:0.569757:0.895067:0.569757:0.886357:0.560274:0.886357:0.000000:0.000000
  | :@0.576446:0.881517:0.592221:0.881517:0.592221:0.865083:0.576446:0.865083:0.000000:0.000000:0.000000:0.000000
a:@0.592119:0.881517:0.601378:0.881517:0.601378:0.865111:0.592119:0.865111:0.000000
ij   :@0.601312:0.884689:0.611260:0.884689:0.611260:0.875124:0.601312:0.875124:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.611239:0.880962:0.623767:0.880962:0.623767:0.864746:0.611239:0.864746:0.000000
   ,   = 1, 2,     = 1, 2   .:@0.623675:0.881517:0.776703:0.881517:0.776703:0.865083:0.623675:0.865083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.631572:0.882099:0.644862:0.882099:0.644862:0.864445:0.631572:0.864445:0.000000
i:@0.651839:0.881517:0.655630:0.881517:0.655630:0.865111:0.651839:0.865111:0.000000
j:@0.714202:0.881517:0.717829:0.881517:0.717829:0.865111:0.714202:0.865111:0.000000
A los elementos del conjunto :@0.323781:0.923174:0.554210:0.923174:0.554210:0.906741:0.323781:0.906741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.555915:0.923174:0.569794:0.923174:0.569794:0.906768:0.555915:0.906768:0.000000
2×2 :@0.569958:0.926347:0.589532:0.926347:0.589532:0.916766:0.569958:0.916766:0.000000:0.000000:0.000000:0.000000
[ :@0.590492:0.923174:0.599604:0.923174:0.599604:0.906741:0.590492:0.906741:0.000000:0.000000
ℝ :@0.601242:0.923757:0.619373:0.923757:0.619373:0.906103:0.601242:0.906103:0.000000:0.000000
] los denominaremos matrices reales de  :@0.621232:0.923174:0.930934:0.923174:0.930934:0.906741:0.621232:0.906741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 × 2, o también matrices de 2 × 2 con coeficientes en  .:@0.323771:0.939816:0.736885:0.939816:0.736885:0.923383:0.323771:0.923383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.720484:0.940399:0.733774:0.940399:0.733774:0.922745:0.720484:0.922745:0.000000
1:@0.587229:0.714523:0.595395:0.714523:0.595395:0.699584:0.587229:0.699584:0.000000
2:@0.587229:0.730913:0.595395:0.730913:0.595395:0.715973:0.587229:0.715973:0.000000
1:@0.685880:0.762792:0.694046:0.762792:0.694046:0.747853:0.685880:0.747853:0.000000
2:@0.685880:0.779182:0.694046:0.779182:0.694046:0.764242:0.685880:0.764242:0.000000
–4:@0.679538:0.794185:0.696004:0.794185:0.696004:0.779245:0.679538:0.779245:0.000000:0.000000
¿Qué significa el elemento  de una matriz?:@0.293660:0.167374:0.620651:0.167374:0.620651:0.150940:0.293660:0.150940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a  :@0.494005:0.167374:0.511152:0.167374:0.511152:0.150968:0.494005:0.150968:0.000000:0.000000:0.000000
ij:@0.503376:0.170546:0.507765:0.170546:0.507765:0.160982:0.503376:0.160982:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   =  :@0.079767:0.265672:0.136385:0.265672:0.136385:0.250732:0.079767:0.250732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.106699:0.265672:0.115685:0.265672:0.115685:0.250757:0.106699:0.250757:0.000000
a a:@0.144346:0.256561:0.179169:0.256561:0.179169:0.240902:0.144346:0.240902:0.000000:0.000000:0.000000
11:@0.153121:0.259589:0.163077:0.259589:0.163077:0.250444:0.153121:0.250444:0.000000:0.000000
12:@0.179105:0.259589:0.189061:0.259589:0.189061:0.250444:0.179105:0.250444:0.000000:0.000000
a a:@0.144346:0.274430:0.179169:0.274430:0.179169:0.258770:0.144346:0.258770:0.000000:0.000000:0.000000
21:@0.153121:0.277459:0.163077:0.277459:0.163077:0.268314:0.153121:0.268314:0.000000:0.000000
22:@0.179105:0.277459:0.189061:0.277459:0.189061:0.268314:0.179105:0.268314:0.000000:0.000000
 .:@0.195802:0.265672:0.202312:0.265672:0.202312:0.250732:0.195802:0.250732:0.000000:0.000000
La primera fila de la :@0.079767:0.295930:0.211374:0.295930:0.211374:0.280990:0.079767:0.280990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matriz   es (:@0.079767:0.311815:0.159453:0.311815:0.159453:0.296875:0.079767:0.296875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.124680:0.311815:0.133666:0.311815:0.133666:0.296900:0.124680:0.296900:0.000000
a a:@0.159366:0.311971:0.193314:0.311971:0.193314:0.296312:0.159366:0.296312:0.000000:0.000000:0.000000
11:@0.168139:0.315000:0.178096:0.315000:0.178096:0.305855:0.168139:0.305855:0.000000:0.000000
, :@0.178048:0.311814:0.184557:0.311814:0.184557:0.296874:0.178048:0.296874:0.000000:0.000000
12:@0.193250:0.315000:0.203207:0.315000:0.203207:0.305855:0.193250:0.305855:0.000000:0.000000
) que :@0.203158:0.311814:0.240724:0.311814:0.240724:0.296874:0.203158:0.296874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pertenece al espacio  .:@0.079763:0.326943:0.239621:0.326943:0.239621:0.312003:0.079763:0.312003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.219993:0.327472:0.232074:0.327472:0.232074:0.311423:0.219993:0.311423:0.000000
2:@0.231992:0.321430:0.236753:0.321430:0.236753:0.312720:0.231992:0.312720:0.000000
Análogamente, la segunda :@0.079763:0.352788:0.260592:0.352788:0.260592:0.337848:0.079763:0.337848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fila de   es (:@0.079763:0.368673:0.157525:0.368673:0.157525:0.353734:0.079763:0.353734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.122752:0.368673:0.131738:0.368673:0.131738:0.353759:0.122752:0.353759:0.000000
a a:@0.157435:0.368836:0.191383:0.368836:0.191383:0.353176:0.157435:0.353176:0.000000:0.000000:0.000000
21:@0.166208:0.371863:0.176165:0.371863:0.176165:0.362718:0.166208:0.362718:0.000000:0.000000
, :@0.176116:0.368678:0.182626:0.368678:0.182626:0.353739:0.176116:0.353739:0.000000:0.000000
22:@0.191319:0.371863:0.201275:0.371863:0.201275:0.362718:0.191319:0.362718:0.000000:0.000000
)    .:@0.201227:0.368678:0.244245:0.368678:0.244245:0.353739:0.201227:0.353739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.209176:0.368300:0.221107:0.368300:0.221107:0.352856:0.209176:0.352856:0.000000
ℝ:@0.224621:0.369208:0.236703:0.369208:0.236703:0.353159:0.224621:0.353159:0.000000
2:@0.236614:0.363166:0.241375:0.363166:0.241375:0.354456:0.236614:0.354456:0.000000
La primera columna:@0.079768:0.393893:0.212262:0.393893:0.212262:0.378953:0.079768:0.378953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de   es :@0.079768:0.419108:0.130840:0.419108:0.130840:0.404168:0.079768:0.404168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.100434:0.419108:0.109420:0.419108:0.109420:0.404194:0.100434:0.404194:0.000000
a:@0.136174:0.411839:0.145012:0.411839:0.145012:0.396179:0.136174:0.396179:0.000000
11:@0.144948:0.414866:0.154904:0.414866:0.154904:0.405721:0.144948:0.405721:0.000000:0.000000
a:@0.136174:0.431415:0.145012:0.431415:0.145012:0.415756:0.136174:0.415756:0.000000
21:@0.144948:0.434444:0.154904:0.434444:0.154904:0.425299:0.144948:0.425299:0.000000:0.000000
     :@0.160132:0.419108:0.199584:0.419108:0.199584:0.404168:0.160132:0.404168:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.163723:0.418730:0.175655:0.418730:0.175655:0.403286:0.163723:0.403286:0.000000
ℝ:@0.179169:0.419638:0.191251:0.419638:0.191251:0.403588:0.179169:0.403588:0.000000
2:@0.191158:0.413596:0.195919:0.413596:0.195919:0.404886:0.191158:0.404886:0.000000
y la segunda:@0.079770:0.455039:0.162887:0.455039:0.162887:0.440100:0.079770:0.440100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
columna es :@0.079770:0.480254:0.159858:0.480254:0.159858:0.465315:0.079770:0.465315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.166028:0.472096:0.174865:0.472096:0.174865:0.456436:0.166028:0.456436:0.000000
12:@0.174801:0.475125:0.184757:0.475125:0.184757:0.465980:0.174801:0.465980:0.000000:0.000000
a:@0.166028:0.491674:0.174865:0.491674:0.174865:0.476014:0.166028:0.476014:0.000000
22:@0.174801:0.494702:0.184757:0.494702:0.184757:0.485557:0.174801:0.485557:0.000000:0.000000
    .:@0.189100:0.480258:0.227755:0.480258:0.227755:0.465318:0.189100:0.465318:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.192691:0.479880:0.204623:0.479880:0.204623:0.464436:0.192691:0.464436:0.000000
ℝ:@0.208137:0.480788:0.220219:0.480788:0.220219:0.464738:0.208137:0.464738:0.000000
2:@0.220126:0.474746:0.224887:0.474746:0.224887:0.466036:0.220126:0.466036:0.000000
Competencia :@0.078581:0.213399:0.187141:0.213399:0.187141:0.196452:0.078581:0.196452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.230041:0.176057:0.230041:0.176057:0.213094:0.078581:0.213094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identidad. :@0.084437:0.617126:0.158016:0.615674:0.157490:0.600525:0.083911:0.601977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Igualdad :@0.157912:0.615677:0.219556:0.614461:0.219037:0.599526:0.157393:0.600743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraica que se :@0.084968:0.632251:0.203971:0.629903:0.203451:0.614968:0.084449:0.617316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verifica siempre, :@0.085494:0.647375:0.195147:0.645211:0.194628:0.630276:0.084975:0.632440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquiera que sea el :@0.086019:0.662498:0.228577:0.659686:0.228058:0.644751:0.085500:0.647564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor de sus variables.:@0.086545:0.677622:0.228320:0.674825:0.227801:0.659890:0.086026:0.662688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.137491:0.594033:0.197111:0.594033:0.197111:0.578626:0.137491:0.578626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 5. Matrices:@0.073089:0.098522:0.320546:0.098522:0.320546:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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