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Math Help - inverse proof

  1. #1
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    inverse proof

    hello
    here is a proof that i could not do anything to it

    If A and B are two nn nonsingular matricesm, prove that B^TA^{-1} is nonsingular and (B^TA^{-1})^{-1}=A(B^{-1})^T

    I want a start
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  2. #2
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    First, can you prove that if A is non-singular, the A^T is non-singular and (A^T)^{-1}= (A^{-1})^T. (Use the definition of " A^T".
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