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Math Help - Finite order complex matrix is diagonalizable

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    Finite order complex matrix is diagonalizable

    how to prove this?
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    Quote Originally Posted by silversand View Post
    how to prove this?
    If A^n = I then AA^nA^{-1} is a diagnol matrix.
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    Quote Originally Posted by silversand View Post
    how to prove this?
    Hint: the complex roots of the characteristic equation x^n=1 are all distinct.
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