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Math Help - Diagonalization Proof

  1. #1
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    Diagonalization Proof

    Show that a trigonalizable endomorphism p of a finite dimensional vector space V over K=R or K=C, which satisfies (p^k)=Id for some k element of N (excluding zero) is in fact diagonalizable.

    Note: an endomorphism is called trigonalizable if it is represented by an upper triangular matrix wrt a suitable basis
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  2. #2
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    You could use the result that any endomorphism whose minimal polynomial has distinct roots is diagonalizable.
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