Another Linear Algebra Question

  • Thread starter mpm
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  • #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 can't seem to get an image of the actual problem.

Can anyone help me?
 

Answers and Replies

  • #2
quasar987
Science Advisor
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Start from [itex](A^{-1}A)^T=I[/itex].
 

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