cpap

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    Help in proving (cA)^p = c^p*A^p for any matrix A

    Hello, I am stuck on the following problem: If p is a nonnegative integer and c is a scalar, show that (cA)^p = c^p A^p Here is what I have started: \textrm{Let } A=[a_{ij}] \textrm{ be any } n \times n matrix. Then (cA)^p=([ca_{ij}])^p Where could I go from here? Is this a good first...