Let T:V to V be linear with finite dimV=n, if f(x)=(-1)^n (x-λ_1)^α_1...(x-λ_r)^α_r Let W be a nonzero invariant T subspace of V. Prove that there exists v in W and such that v is an eigenvector of T, with v different of 0.
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Let T:V to V be linear with finite dimV=n, if f(x)=(-1)^n (x-λ_1)^α_1...(x-λ_r)^α_r
Let W be a nonzero invariant T subspace of V. Prove that there exists v in W and such that v is an eigenvector of T, with v different of 0.
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