﻿19:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Matrices especiales:@0.108233:0.097328:0.262440:0.097328:0.262440:0.079645:0.108233:0.079645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matriz diagonal:@0.108233:0.114498:0.229196:0.114498:0.229196:0.097552:0.108233:0.097552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición :@0.108233:0.131849:0.195100:0.131849:0.195100:0.114903:0.108233:0.114903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una matriz real   de la forma                   se llama matriz:@0.188319:0.131386:0.587148:0.131386:0.587148:0.114888:0.188319:0.114888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.307089:0.131502:0.318359:0.131502:0.318359:0.115033:0.307089:0.115033:0.000000
diagonal. Los elementos  ,   se llaman elementos diagonales. :@0.108233:0.166088:0.559968:0.166088:0.559968:0.149590:0.108233:0.149590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.281079:0.166203:0.315837:0.166203:0.315837:0.149734:0.281079:0.149734:0.000000:0.000000:0.000000
11:@0.290057:0.169365:0.299963:0.169365:0.299963:0.159747:0.290057:0.159747:0.000000:0.000000
22:@0.315837:0.169365:0.325743:0.169365:0.325743:0.159747:0.315837:0.159747:0.000000:0.000000
Las matrices diagonales se notan :@0.108238:0.183438:0.343658:0.183438:0.343658:0.166941:0.108238:0.166941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diag a a:@0.343658:0.183554:0.413530:0.183554:0.413530:0.167085:0.343658:0.167085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ).:@0.372827:0.183438:0.432144:0.183438:0.432144:0.166941:0.372827:0.166941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.387748:0.186716:0.397655:0.186716:0.397655:0.177098:0.387748:0.177098:0.000000:0.000000
22:@0.413529:0.186716:0.423435:0.186716:0.423435:0.177098:0.413529:0.177098:0.000000:0.000000
Ejemplo :@0.108237:0.218516:0.169982:0.218516:0.169982:0.201729:0.108237:0.201729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las siguientes son matrices diagonales:                  ,                  .:@0.108237:0.235491:0.534731:0.235491:0.534731:0.218993:0.108237:0.218993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escritas con la notación, se tiene :@0.108237:0.267098:0.341844:0.267098:0.341844:0.250600:0.108237:0.250600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diag:@0.341844:0.267214:0.371010:0.267214:0.371010:0.250745:0.341844:0.250745:0.000000:0.000000:0.000000:0.000000
(1, 1), :@0.371015:0.267098:0.413707:0.267098:0.413707:0.250600:0.371015:0.250600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diag:@0.413707:0.267214:0.442875:0.267214:0.442875:0.250745:0.413707:0.250745:0.000000:0.000000:0.000000:0.000000
(0, –5).:@0.442875:0.267098:0.491924:0.267098:0.491924:0.250600:0.442875:0.250600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matriz triangular superior :@0.108233:0.321302:0.321438:0.321302:0.321438:0.303619:0.108233:0.303619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.108233:0.338472:0.188317:0.338472:0.188317:0.321526:0.108233:0.321526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una matriz real de la forma                  se llama matriz:@0.188319:0.338010:0.567707:0.338010:0.567707:0.321512:0.188319:0.321512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triangular superior.  El elemento   bajo la diagonal es siempre cero.:@0.108233:0.369617:0.586473:0.369617:0.586473:0.353119:0.108233:0.353119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.336524:0.369733:0.345502:0.369733:0.345502:0.353264:0.336524:0.353264:0.000000
21:@0.345502:0.372894:0.355409:0.372894:0.355409:0.363275:0.345502:0.363275:0.000000:0.000000
Ejemplo:@0.108235:0.404694:0.165664:0.404694:0.165664:0.387908:0.108235:0.387908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las siguientes matrices son triangulares superiores:               ,                 .:@0.108235:0.421669:0.592059:0.421669:0.592059:0.405172:0.108235:0.405172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matriz triangular inferior:@0.108233:0.482247:0.309758:0.482247:0.309758:0.464564:0.108233:0.464564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.108233:0.499417:0.188317:0.499417:0.188317:0.482471:0.108233:0.482471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una matriz real de la forma                  se llama matriz:@0.188319:0.498954:0.567707:0.498954:0.567707:0.482457:0.188319:0.482457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triangular inferior. El elemento   sobre la diagonal es siempre nulo.:@0.108233:0.530562:0.585032:0.530562:0.585032:0.514064:0.108233:0.514064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.324657:0.530677:0.333635:0.530677:0.333635:0.514208:0.324657:0.514208:0.000000
12:@0.333635:0.533838:0.343541:0.533838:0.343541:0.524220:0.333635:0.524220:0.000000:0.000000
Ejemplo :@0.108236:0.565639:0.169982:0.565639:0.169982:0.548852:0.108236:0.548852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las siguientes son matrices triangulares inferiores:               ,               .:@0.108236:0.582614:0.586073:0.582614:0.586073:0.566116:0.108236:0.566116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matriz transpuesta:@0.108233:0.643191:0.260611:0.643191:0.260611:0.625508:0.108233:0.625508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.108233:0.660362:0.188317:0.660362:0.188317:0.643416:0.108233:0.643416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sea   = ( )    :@0.188319:0.659899:0.318183:0.659899:0.318183:0.643401:0.188319:0.643401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.223478:0.660014:0.234748:0.660014:0.234748:0.643546:0.223478:0.643546:0.000000
a:@0.259793:0.660014:0.268770:0.660014:0.268770:0.643546:0.259793:0.643546:0.000000
ij:@0.268651:0.663243:0.273087:0.663243:0.273087:0.653642:0.268651:0.653642:0.000000:0.000000
2×2:@0.279040:0.663175:0.295248:0.663175:0.295248:0.653557:0.279040:0.653557:0.000000:0.000000:0.000000
:@0.299390:0.659380:0.314042:0.659380:0.314042:0.646007:0.299390:0.646007:0.000000
M:@0.318183:0.660014:0.333461:0.660014:0.333461:0.643546:0.318183:0.643546:0.000000
2×2:@0.333461:0.663175:0.349668:0.663175:0.349668:0.653557:0.333461:0.653557:0.000000:0.000000:0.000000
[ ]. La transpuesta de  , :@0.349669:0.659899:0.529154:0.659899:0.529154:0.643401:0.349669:0.643401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.355525:0.658812:0.368830:0.658812:0.368830:0.645950:0.355525:0.645950:0.000000
A:@0.510987:0.660014:0.522257:0.660014:0.522257:0.643546:0.510987:0.643546:0.000000
denotada  , es la matriz   = ( )  con   =  ,       = 1, 2,     = 1, 2.:@0.108227:0.684378:0.580208:0.684377:0.580208:0.667880:0.108227:0.667880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.181067:0.684494:0.192337:0.684494:0.192337:0.668025:0.181067:0.668025:0.000000
T:@0.190725:0.678093:0.196442:0.678093:0.196442:0.668492:0.190725:0.668492:0.000000
A:@0.286566:0.684493:0.297836:0.684493:0.297836:0.668024:0.286566:0.668024:0.000000
T:@0.296217:0.678093:0.301934:0.678093:0.301934:0.668492:0.296217:0.668492:0.000000
b:@0.326977:0.684493:0.336244:0.684493:0.336244:0.668024:0.326977:0.668024:0.000000
ij:@0.336166:0.687723:0.340603:0.687723:0.340603:0.678121:0.336166:0.678121:0.000000:0.000000
2×2:@0.346556:0.687655:0.362763:0.687655:0.362763:0.678037:0.346556:0.678037:0.000000:0.000000:0.000000
b:@0.397998:0.684493:0.407265:0.684493:0.407265:0.668024:0.397998:0.668024:0.000000
ij:@0.407188:0.687723:0.411624:0.687723:0.411624:0.678121:0.407188:0.678121:0.000000:0.000000
a:@0.430716:0.684493:0.439693:0.684493:0.439693:0.668024:0.430716:0.668024:0.000000
ji:@0.439616:0.687723:0.444075:0.687723:0.444075:0.678121:0.439616:0.678121:0.000000:0.000000
i:@0.468663:0.684493:0.472458:0.684493:0.472458:0.668024:0.468663:0.668024:0.000000
j:@0.530620:0.684493:0.534473:0.684493:0.534473:0.668024:0.530620:0.668024:0.000000
Si    =                 ,    =                  .:@0.108229:0.726207:0.343627:0.726206:0.343627:0.709709:0.108229:0.709709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.128323:0.726323:0.139593:0.726323:0.139593:0.709854:0.128323:0.709854:0.000000
A:@0.235996:0.726323:0.247266:0.726323:0.247266:0.709854:0.235996:0.709854:0.000000
T:@0.245650:0.719922:0.251367:0.719922:0.251367:0.710321:0.245650:0.710321:0.000000
Ejercicio resuelto:@0.108225:0.778635:0.226203:0.778635:0.226203:0.761848:0.108225:0.761848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108225:0.813177:0.120497:0.813177:0.120497:0.796462:0.108225:0.796462:0.000000:0.000000
  Sea   =                   con  ,  ,  ,      . Entonces,   =                 . :@0.120497:0.812960:0.572006:0.812960:0.572006:0.796462:0.120497:0.796462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.160222:0.813076:0.171492:0.813076:0.171492:0.796607:0.160222:0.796607:0.000000
x y u v:@0.296232:0.813076:0.349077:0.813076:0.349077:0.796607:0.296232:0.796607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.353234:0.812441:0.367886:0.812441:0.367886:0.799068:0.353234:0.799068:0.000000
R:@0.372028:0.811873:0.385333:0.811873:0.385333:0.799011:0.372028:0.799011:0.000000
A:@0.464378:0.813076:0.475648:0.813076:0.475648:0.796607:0.464378:0.796607:0.000000
T:@0.474028:0.806676:0.479745:0.806676:0.479745:0.797075:0.474028:0.797075:0.000000
2.:@0.108233:0.865229:0.120505:0.865229:0.120505:0.848515:0.108233:0.848515:0.000000:0.000000
  Si   =                  , entonces ,   =                 .:@0.120506:0.865012:0.435798:0.865012:0.435798:0.848515:0.120506:0.848515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.147919:0.865128:0.159190:0.865128:0.159190:0.848659:0.147919:0.848659:0.000000
A:@0.331344:0.865128:0.342614:0.865128:0.342614:0.848659:0.331344:0.848659:0.000000
T:@0.341001:0.858728:0.346718:0.858728:0.346718:0.849127:0.341001:0.849127:0.000000
Recuerda que…:@0.684804:0.106800:0.794564:0.106800:0.794564:0.091327:0.684804:0.091327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.684804:0.767925:0.794564:0.767925:0.794564:0.752453:0.684804:0.752453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Toda matriz diagonal es :@0.685042:0.135427:0.841804:0.135427:0.841804:0.120364:0.685042:0.120364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una matriz triangular superior e :@0.638498:0.151269:0.845621:0.151269:0.845621:0.136206:0.638498:0.136206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inferior::@0.638498:0.167111:0.687733:0.167111:0.687733:0.152048:0.638498:0.152048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
               ,                  .:@0.638498:0.198795:0.763051:0.198795:0.763051:0.183732:0.638498:0.183732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema.:@0.685042:0.796972:0.750299:0.796972:0.750299:0.781500:0.685042:0.781500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,      , :@0.638498:0.812392:0.736125:0.812392:0.736125:0.797329:0.638498:0.797329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α λ:@0.673015:0.818762:0.696217:0.818762:0.696217:0.802353:0.673015:0.802353:0.000000:0.000000:0.000000
:@0.699996:0.812043:0.713951:0.812043:0.713951:0.799306:0.699996:0.799306:0.000000
R:@0.717732:0.811389:0.729827:0.811389:0.729827:0.799696:0.717732:0.799696:0.000000
A, B:@0.638500:0.828339:0.663918:0.828339:0.663918:0.813303:0.638500:0.813303:0.000000:0.000000:0.000000:0.000000
   :@0.663918:0.828234:0.685439:0.828234:0.685439:0.813171:0.663918:0.813171:0.000000:0.000000:0.000000
:@0.667703:0.827885:0.681658:0.827885:0.681658:0.815148:0.667703:0.815148:0.000000
M:@0.685439:0.828339:0.699388:0.828339:0.699388:0.813303:0.685439:0.813303:0.000000
2×2 :@0.699388:0.831227:0.716391:0.831227:0.716391:0.822445:0.699388:0.822445:0.000000:0.000000:0.000000:0.000000
[ ]. Se verifican las :@0.716390:0.828234:0.843049:0.828234:0.843049:0.813171:0.716390:0.813171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.721738:0.827231:0.733833:0.827231:0.733833:0.815538:0.721738:0.815538:0.000000
siguientes propiedades::@0.638513:0.844076:0.789046:0.844076:0.789046:0.829013:0.638513:0.829013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  =  ,:@0.638513:0.867047:0.698863:0.867045:0.698863:0.851982:0.638513:0.851984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.643948:0.867152:0.654238:0.867152:0.654238:0.852116:0.643948:0.852116:0.000000
T T:@0.652751:0.861308:0.668626:0.861308:0.668626:0.852541:0.652751:0.852541:0.000000:0.000000:0.000000
A:@0.686058:0.867151:0.696348:0.867151:0.696348:0.852114:0.686058:0.852114:0.000000
(:@0.638512:0.882887:0.643947:0.882887:0.643947:0.867824:0.638512:0.867824:0.000000
α:@0.643940:0.889257:0.653075:0.889257:0.653075:0.872849:0.643940:0.872849:0.000000
A:@0.653078:0.882993:0.663368:0.882993:0.663368:0.867956:0.653078:0.867956:0.000000
 +  )  = :@0.663368:0.882887:0.725039:0.882887:0.725039:0.867824:0.663368:0.867824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.680798:0.889257:0.688565:0.889257:0.688565:0.872849:0.680798:0.872849:0.000000
B:@0.688561:0.882993:0.696952:0.882993:0.696952:0.867956:0.688561:0.867956:0.000000
T:@0.702387:0.877150:0.707607:0.877150:0.707607:0.868383:0.702387:0.868383:0.000000
α:@0.725038:0.889257:0.734173:0.889257:0.734173:0.872849:0.725038:0.872849:0.000000
A:@0.734176:0.882993:0.744466:0.882993:0.744466:0.867956:0.734176:0.867956:0.000000
T:@0.742990:0.877150:0.748209:0.877150:0.748209:0.868383:0.742990:0.868383:0.000000
 + :@0.748210:0.882887:0.765642:0.882887:0.765642:0.867824:0.748210:0.867824:0.000000:0.000000:0.000000
λ:@0.765641:0.889257:0.773407:0.889257:0.773407:0.872849:0.765641:0.872849:0.000000
B:@0.773404:0.882993:0.781794:0.882993:0.781794:0.867956:0.773404:0.867956:0.000000
T:@0.780949:0.877150:0.786169:0.877150:0.786169:0.868383:0.780949:0.868383:0.000000
,:@0.786169:0.882887:0.788684:0.882887:0.788684:0.867824:0.786169:0.867824:0.000000
(:@0.638501:0.898729:0.643936:0.898729:0.643936:0.883666:0.638501:0.883666:0.000000
AB:@0.643936:0.898835:0.662511:0.898835:0.662511:0.883798:0.643936:0.883798:0.000000:0.000000
)  =    .:@0.662511:0.898729:0.723695:0.898729:0.723695:0.883666:0.662511:0.883666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.667949:0.892992:0.673169:0.892992:0.673169:0.884225:0.667949:0.884225:0.000000
B A:@0.690601:0.898835:0.717437:0.898835:0.717437:0.883798:0.690601:0.883798:0.000000:0.000000:0.000000
T:@0.698145:0.892992:0.703365:0.892992:0.703365:0.884225:0.698145:0.884225:0.000000
T:@0.715960:0.892992:0.721179:0.892992:0.721179:0.884225:0.715960:0.884225:0.000000
Competencia digital:@0.684804:0.373902:0.827156:0.373902:0.827156:0.358429:0.684804:0.358429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para ampliar el cono-:@0.685042:0.402529:0.822033:0.402529:0.822033:0.387466:0.685042:0.387466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cimiento sobre el tema de :@0.638498:0.418371:0.811266:0.418371:0.811266:0.403308:0.638498:0.403308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matrices, :@0.638498:0.434213:0.699817:0.434213:0.699817:0.419150:0.638498:0.419150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa :@0.699817:0.434411:0.756402:0.434411:0.756402:0.419150:0.699817:0.419150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el video que :@0.756402:0.434213:0.839056:0.434213:0.839056:0.419150:0.756402:0.419150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se presenta en este enlace::@0.638498:0.450055:0.808414:0.450055:0.808414:0.434992:0.638498:0.434992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/13m02:@0.638498:0.473356:0.736387:0.473356:0.736387:0.458042:0.638498:0.458042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.419322:0.120753:0.428299:0.120753:0.428299:0.104284:0.419322:0.104284:0.000000
11:@0.428299:0.123915:0.438206:0.123915:0.438206:0.114297:0.428299:0.114297:0.000000:0.000000
0:@0.455659:0.120637:0.464155:0.120637:0.464155:0.104140:0.455659:0.104140:0.000000
0:@0.424507:0.142022:0.433003:0.142022:0.433003:0.125525:0.424507:0.125525:0.000000
a:@0.450458:0.142138:0.459435:0.142138:0.459435:0.125669:0.450458:0.125669:0.000000
22:@0.459444:0.145299:0.469350:0.145299:0.469350:0.135681:0.459444:0.135681:0.000000:0.000000
a:@0.400723:0.327252:0.409701:0.327252:0.409701:0.310783:0.400723:0.310783:0.000000
11:@0.409701:0.330413:0.419607:0.330413:0.419607:0.320795:0.409701:0.320795:0.000000:0.000000
a:@0.431866:0.327252:0.440844:0.327252:0.440844:0.310783:0.431866:0.310783:0.000000
12:@0.440844:0.330413:0.450750:0.330413:0.450750:0.320795:0.440844:0.320795:0.000000:0.000000
0:@0.405916:0.348521:0.414412:0.348521:0.414412:0.332023:0.405916:0.332023:0.000000
a:@0.431867:0.348636:0.440844:0.348636:0.440844:0.332168:0.431867:0.332168:0.000000
22:@0.440844:0.351797:0.450750:0.351797:0.450750:0.342179:0.440844:0.342179:0.000000:0.000000
a:@0.400723:0.488038:0.409701:0.488038:0.409701:0.471570:0.400723:0.471570:0.000000
11:@0.409701:0.491199:0.419607:0.491199:0.419607:0.481581:0.409701:0.481581:0.000000:0.000000
0:@0.437061:0.487923:0.445557:0.487923:0.445557:0.471425:0.437061:0.471425:0.000000
a:@0.400727:0.509423:0.409704:0.509423:0.409704:0.492954:0.400727:0.492954:0.000000
21:@0.409701:0.512584:0.419607:0.512584:0.419607:0.502965:0.409701:0.502965:0.000000:0.000000
a:@0.431866:0.509423:0.440844:0.509423:0.440844:0.492954:0.431866:0.492954:0.000000
22:@0.440844:0.512584:0.450750:0.512584:0.450750:0.502965:0.440844:0.502965:0.000000:0.000000
1:@0.399664:0.224206:0.408160:0.224206:0.408160:0.207709:0.399664:0.207709:0.000000
0:@0.430816:0.224206:0.439312:0.224206:0.439312:0.207709:0.430816:0.207709:0.000000
0:@0.399664:0.245591:0.408160:0.245591:0.408160:0.229093:0.399664:0.229093:0.000000
1:@0.430816:0.245591:0.439312:0.245591:0.439312:0.229093:0.430816:0.229093:0.000000
0:@0.478401:0.224206:0.486897:0.224206:0.486897:0.207709:0.478401:0.207709:0.000000
0:@0.509553:0.224206:0.518049:0.224206:0.518049:0.207709:0.509553:0.207709:0.000000
0 –5:@0.478401:0.245591:0.523289:0.245591:0.523289:0.229093:0.478401:0.229093:0.000000:0.000000:0.000000:0.000000
0 –5:@0.467713:0.410987:0.507861:0.410987:0.507861:0.394490:0.467713:0.394490:0.000000:0.000000:0.000000:0.000000
0 3:@0.467713:0.432372:0.502602:0.432372:0.502602:0.415874:0.467713:0.415874:0.000000:0.000000:0.000000
5 0:@0.470269:0.573537:0.505158:0.573537:0.505158:0.557040:0.470269:0.557040:0.000000:0.000000:0.000000
5 5:@0.470269:0.594922:0.505158:0.594922:0.505158:0.578424:0.470269:0.578424:0.000000:0.000000:0.000000
0 0:@0.535002:0.573537:0.569891:0.573537:0.569891:0.557040:0.535002:0.557040:0.000000:0.000000:0.000000
2 0:@0.535002:0.594922:0.569891:0.594922:0.569891:0.578424:0.535002:0.578424:0.000000:0.000000:0.000000
10 30:@0.533230:0.410987:0.581374:0.410987:0.581374:0.394490:0.533230:0.394490:0.000000:0.000000:0.000000:0.000000:0.000000
0 20:@0.537487:0.432372:0.581374:0.432372:0.581374:0.415874:0.537487:0.415874:0.000000:0.000000:0.000000:0.000000
a:@0.166967:0.717044:0.175945:0.717044:0.175945:0.700576:0.166967:0.700576:0.000000
11:@0.175945:0.720207:0.185851:0.720207:0.185851:0.710589:0.175945:0.710589:0.000000:0.000000
a:@0.198111:0.717044:0.207089:0.717044:0.207089:0.700576:0.198111:0.700576:0.000000
12:@0.207089:0.720207:0.216995:0.720207:0.216995:0.710589:0.207089:0.710589:0.000000:0.000000
a:@0.166967:0.738429:0.175945:0.738429:0.175945:0.721960:0.166967:0.721960:0.000000
21:@0.175945:0.741591:0.185851:0.741591:0.185851:0.731973:0.175945:0.731973:0.000000:0.000000
a:@0.198111:0.738429:0.207089:0.738429:0.207089:0.721960:0.198111:0.721960:0.000000
22:@0.207089:0.741591:0.216995:0.741591:0.216995:0.731973:0.207089:0.731973:0.000000:0.000000
x:@0.205618:0.803723:0.213093:0.803723:0.213093:0.787254:0.205618:0.787254:0.000000
y:@0.236654:0.803723:0.244341:0.803723:0.244341:0.787254:0.236654:0.787254:0.000000
u:@0.204751:0.825108:0.213960:0.825108:0.213960:0.808639:0.204751:0.808639:0.000000
v:@0.236616:0.825108:0.244399:0.825108:0.244399:0.808639:0.236616:0.808639:0.000000
3 –5:@0.192449:0.855701:0.237337:0.855701:0.237337:0.839203:0.192449:0.839203:0.000000:0.000000:0.000000:0.000000
8 10:@0.192449:0.877086:0.236335:0.877086:0.236335:0.860588:0.192449:0.860588:0.000000:0.000000:0.000000:0.000000
3:@0.379701:0.855701:0.388197:0.855701:0.388197:0.839203:0.379701:0.839203:0.000000
8:@0.410853:0.855701:0.419349:0.855701:0.419349:0.839203:0.410853:0.839203:0.000000
–5 10:@0.374460:0.877086:0.423606:0.877086:0.423606:0.860588:0.374460:0.860588:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.512850:0.803723:0.520325:0.803723:0.520325:0.787254:0.512850:0.787254:0.000000
u:@0.543135:0.803723:0.552344:0.803723:0.552344:0.787254:0.543135:0.787254:0.000000
y:@0.512754:0.825108:0.520441:0.825108:0.520441:0.808639:0.512754:0.808639:0.000000
v:@0.543848:0.825108:0.551631:0.825108:0.551631:0.808639:0.543848:0.808639:0.000000
a:@0.281728:0.717044:0.290705:0.717044:0.290705:0.700576:0.281728:0.700576:0.000000
11:@0.290705:0.720207:0.300612:0.720207:0.300612:0.710589:0.290705:0.710589:0.000000:0.000000
a:@0.312872:0.717044:0.321850:0.717044:0.321850:0.700576:0.312872:0.700576:0.000000
21:@0.321850:0.720207:0.331756:0.720207:0.331756:0.710589:0.321850:0.710589:0.000000:0.000000
a:@0.281728:0.738429:0.290705:0.738429:0.290705:0.721960:0.281728:0.721960:0.000000
12:@0.290705:0.741591:0.300612:0.741591:0.300612:0.731973:0.290705:0.731973:0.000000:0.000000
a:@0.312872:0.738429:0.321850:0.738429:0.321850:0.721960:0.312872:0.721960:0.000000
22:@0.321850:0.741591:0.331756:0.741591:0.331756:0.731973:0.321850:0.731973:0.000000:0.000000
0 0:@0.647441:0.188161:0.679961:0.188161:0.679961:0.171663:0.647441:0.171663:0.000000:0.000000:0.000000
0 0:@0.647441:0.209546:0.679961:0.209546:0.679961:0.193048:0.647441:0.193048:0.000000:0.000000:0.000000
–2 0:@0.707249:0.188161:0.749767:0.188161:0.749767:0.171663:0.707249:0.171663:0.000000:0.000000:0.000000:0.000000
0:@0.712508:0.209546:0.721004:0.209546:0.721004:0.193048:0.712508:0.193048:0.000000
0:@0.741271:0.209546:0.749767:0.209546:0.749767:0.193048:0.741271:0.193048:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000