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UBA - CienciaS :: Ver Tema - [no resuelto] 2º parcial 1r cuatri 2003
UBA - CienciaS
http://ubacs.com.ar/ubacs/

[no resuelto] 2º parcial 1r cuatri 2003
http://ubacs.com.ar/ubacs/viewtopic.php?f=67&t=1289
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Autor:  ALE [ 19 Jul 2009, 16:55 ]
Asunto:  [no resuelto] 2º parcial 1r cuatri 2003

El ejercicio dice:
es diagonalizable. Probar que A es diagonalizable.
b) Mostrar una A no inversible y no diagonalizable tal que sí es diagonalizable

Ayuda para esto...

Autor:  exequiel131719 [ 19 Jul 2009, 17:59 ]
Asunto:  Re: [no resuelto] 2º parcial 1r cuatri 2003

Primero hago la parte b), y luego la a):
b)

a)

La última parte está algo charlada. Fijate que escribirlo bien no es muy difícil. Puse primero el b) para mostrar por qué era necesaria la hipótesis de inversible en a) y cómo usarla. Si no queda claro, avisá.
Saludos.

Autor:  ALE [ 19 Jul 2009, 18:07 ]
Asunto:  Re: [no resuelto] 2º parcial 1r cuatri 2003

sublime!!!

sigo posteando...

Autor:  ALE [ 20 Jul 2009, 13:00 ]
Asunto:  Re: [no resuelto] 2º parcial 1r cuatri 2003

Una dudilla...

no entendí por qué el subbloque elegido tiene que ser nilpotente. ¿No podría ser, por ejemplo, de esta manera: ?
En tal caso no sería nilpotente el bloque y no tiene por qué dejar un cero en la diagonal cualdo lo elevás al cuadrado.

Bueno si me aclaran esto joya!

Feliz dia

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