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Let V be a finite dimensional C-vector space and T L (V ). If 1 , 2 , ..., m are the distinct eigenvalues of

Let V be a finite dimensional C-vector space and T L (V ). If 1, 2, ..., m are the distinct eigenvalues of T, then prove that T is diagonalizable if and only if the minimal polynomial of T is (t 1)(t 2) (t m)

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