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Math Help - Matrix Entries Formula

  1. #1
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    Nov 2008
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    Matrix Entries Formula

    Let M=

    [4 -2]
    [1 1]

    Find formulas for the entries of M^n, where n is a positive integer.
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  2. #2
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    Aug 2008
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    You need to diagonalize the matrix.
    Read: Matrix Diagonalization -- from Wolfram MathWorld

    So if M=PDP^{-1} where D is diagonal then M^m=PD^mP^{-1}. Try it.
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