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Dec1308, 10:49 AM

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Let the minimal polynomial of T on a finite dimensional vector space V be p where p is irreducible. Show that a cyclic submodule of V does not contain a proper T invariant subspace.
Let the minimal polynomial of T on a finite dimensional vector space V be p^2 where p is irreducible. Is it true that V contains a proper T invariant subspace? 


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