"Let A be an invertible matrix with entries in Z_p. Show that A is diagonalizable if and only if its order (the least t such that A^t=1 in GL_n(Z_p)) divides p-1."(adsbygoogle = window.adsbygoogle || []).push({});

I got the => direction, but I'm having trouble with the backwards direction. Any hints?

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# Homework Help: Invertible Matrix

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