# Math Help - Diagonalization Proof

1. ## 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

2. You could use the result that any endomorphism whose minimal polynomial has distinct roots is diagonalizable.