Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Pseudo Inverse and Transpose

  1. Nov 8, 2008 #1
    I have been battling with this for hours now, i just keep getting stuck.
    It is to show that:

    After expanding the left side, leting xyT=A. I get stuck at (yxTxyT)+yxT

    I have tried from both sides of the equation, but cant arrive at the expected result. Any clues?
    Last edited: Nov 8, 2008
  2. jcsd
  3. Nov 20, 2008 #2


    User Avatar

  4. Nov 21, 2008 #3
    I got it. All that needs to be done is to show that it satisfies the four penrose properties which state that (1) AGA=A
    (2) GAG=G
    (3) (AG)T=AG
    (4) (GA)T=GA
    By letting A=xyT and G=the right hand side, this can easily be proved.
    Thanks for the effort anyway.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook