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Another Linear Algebra Question

  1. Sep 6, 2005 #1

    mpm

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    I am having to do a proof on a problem and am not really seeing it for some reason. Maybe it's because I have been doing the homework for so long.

    Prove that if A is nonsingular then A^T is nonsingular and

    (A^T)^-1 = (A^-1)^T

    Hint: (AB)^T = B^T*A^T

    I understand the hint, but I cant seem to get an image of the actual problem.

    Can anyone help me?
     
  2. jcsd
  3. Sep 6, 2005 #2

    quasar987

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    Start from [itex](A^{-1}A)^T=I[/itex].
     
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