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Math Help - a question on invertible matrices

  1. #1
    Junior Member
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    a question on invertible matrices

    suppose A and B are invertible matrices.
    Show that Bt is also invertible by producing a matrix C such that (BtA)C=I and C(BtA)=I

    thanks


    Mr F edit: The OP adds that t is the transpose. So the question is probably the following:

    Suppose A and B are invertible matrices.
    Show that B^T is also invertible by producing a matrix C such that (B^T A) C = I and C (B^T A) = I.
    Last edited by mr fantastic; March 27th 2009 at 04:02 AM.
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  2. #2
    MHF Contributor

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    If B has an inverse, so does B^T. What is (B^TA)(A^{-1}(B^T)^{-1}) and (A^{-1}(B^T)^{-1})(B^TA)?
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