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Math Help - Normal Matrix Proof

  1. #1
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    Normal Matrix Proof

    There is a matrix that is normal and invertible. I need to show that its inverse is also normal.

    So I know if a matrix is normal then A*A=AA* and if a matrix is invertible then A^-1A=I. So I will need to show that A^-1(A^-1)*=(A^-1)*A^-1. However I'm not sure if it is because it is late, but I'm having a bit of difficulty coming up with the initial step. Any hints would be appreciated.
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  2. #2
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    Re: Normal Matrix Proof

    Well finally right after posting it came to me, I started with (A*A)^-1 and it worked out pretty simply from there.
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