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If A = [[1,1,1],[1,1,1],[1,1,1]], prove ...

If `A = [[1,1,1],[1,1,1],[1,1,1]]`, prove that `A^n = [[3^(n-1),3^(n-1),3^(n-1)],[3^(n-1),3^(n-1),3^(n-1)],[3^(n-1),3^(n-1),3^(n-1)]], n in N`

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P.M.I., it is true for even` n in N`
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