T-invariant subspace

gatekeeper

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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gatekeeper	T-invariant subspace 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?