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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


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  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.
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