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10. Suppose V is a finite-dimensional complex vector space, S, TE C(V) and ST = TS. (a) Show that any eigenspace of T is invariant

10. Suppose V is a finite-dimensional complex vector space, S, TE C(V) and ST = TS. (a) Show that any eigenspace of T is invariant under S. (b) Show that T and S have a common eigenvector

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