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Homework Help: Basic invertible matrix theorem proof.

  1. Feb 11, 2005 #1
    If A and B are invertible matrices, can anyone prove that

    (AB)^(-1) = B^(-1)*A^(-1) ?

    This is not exactly the problem, I have, but my group theory problem is isomorphic to it :).
     
  2. jcsd
  3. Feb 11, 2005 #2

    Galileo

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    Check:
    With that expression for [itex](AB)^{-1}[/itex], does the following hold?

    [tex](AB)^{-1}(AB)=1[/tex]
     
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