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Primer parcial - 18/10/2011 http://ubacs.com.ar/ubacs/viewtopic.php?f=67&t=2558	Página 1 de 1

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Autor:	elnieto [ 19 Oct 2011, 14:40 ]
Asunto:	Primer parcial - 18/10/2011
Dejo el parcial que me tomaron ayer; Ejercicio 1. (i) Sea un cuerpo y sea de rango 2. Probar que existe de rango 2 tal que (ii) Sea Hallar de rango 2 tal que Ejercicio 2. Decidir si las siguientes afirmaciones son verdaderas o falsas. (i) Sean y tales que det, det, det y det. Entonces es linealmente independiente. (ii) Sea y tales que el sistema tiene solución en . Entonces det Ejercicio 3. Sea un proyector tal que Ker e Im, donde y . Hallar . Ejercicio 4. Sea dada por . Decidir si es diagonalizable. En caso afirmativo, hallar una base de autovectores.

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