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UBA - CienciaS :: Ver Tema - Segundo Recupertorio del Primer Parcial - 23/12/08
UBA - CienciaS
http://ubacs.com.ar/ubacs/

Segundo Recupertorio del Primer Parcial - 23/12/08
http://ubacs.com.ar/ubacs/viewtopic.php?f=67&t=819
Página 1 de 1

Autor:  Agustin [ 31 Dic 2008, 18:52 ]
Asunto:  Segundo Recupertorio del Primer Parcial - 23/12/08

Más enunciados..

1. Sea una matriz de rango , sea y sea . Hallar todos los tales que existe una transformación lineal : con y .

2. Sea una matriz inversible y sea un vector tal que las matrices que se obtienen al restar de cada una de las filas de no son inversibles. Probar que es la suma de las filas de .

3. (a) Sea con y sean : un epìmorfismo y : un monomorfismo tales que . Probar que existe una base de tal que y , donde es la base canónica de .

(b) Sean
y .
Hallar tal que y .

4. Sea un cuerpo, y . Consideramos definidas por para todo . . Probar que es base de si y solo si es base de y es inversible.

5. (a) Hallar tal que la matrices
y sean ambas diagonales.

(b) Probar que no existe tal que y sean ambas diagonales.

En este, al menos a mi, me gustó mucho el 3.
En fín, espero que sirvan para los próximos cursos, saludo.

Autor:  bel [ 31 Dic 2008, 19:20 ]
Asunto:  Re: Segundo Recupertorio del Primer Parcial - 23/12/08

yo creo que si a mi me entregaban ese parcial me paraba y me iba, me parece sinceramente aterrador,
fue mucho más difícil que los recups de la 1ra fecha!!

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