Question: Let V be a finite dimensional vector space. Suppose that TE L(V) has dimV distinct eigenvalues and that S E L(V) has the same

Let V be a finite dimensional vector space. Suppose that TE L(V)

Let V be a finite dimensional vector space. Suppose that TE L(V) has dimV distinct eigenvalues and that S E L(V) has the same eigenvectors as T (not necessarily the same eigenvalues). Prove that ST = TS.

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