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Another Linear Algebra Question

  • Thread starter mpm
  • Start date
mpm
82
0
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?
 

Answers and Replies

quasar987
Science Advisor
Homework Helper
Gold Member
4,771
7
Start from [itex](A^{-1}A)^T=I[/itex].
 

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