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Math Help - matrix math

  1. #1
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    Question What!

    Show that if A = QR with Q invertable, then A is similar to A1 = RQ?


    The hint I have is:
    Find an invertible matrix P so that RQ = P^-1AP.

    I need more help please.


    jack
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  2. #2
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    You're told that Q is invertible (Q^-1 exists) and you need to conjugate
    A by something, ie map A -> P^-1AP for some P. About the only P you
    know of which is invertible is Q, so why not try that? Q^-1 A Q = Q^-1 QR Q = ...
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  3. #3
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    I think that will work.
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