1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Another Linear Algebra Question

  1. Sep 6, 2005 #1

    mpm

    User Avatar

    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

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Start from [itex](A^{-1}A)^T=I[/itex].
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook