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!

Proving partitioned matrix involving conditional inverse

  1. Jul 27, 2010 #1
    1. The problem statement, all variables and given/known data

    For matrix X partitioned as [tex]\underline{X}[/tex] = [ [tex]\underline{X}[/tex]1 [tex]\underline{X}[/tex]2 ] with [tex]\underline{X}[/tex]1 matrix full column rank rx,

    2. Relevant equations
    prove that [tex]\underline{X}[/tex]([tex]\underline{X}[/tex]'[tex]\underline{X}[/tex])[tex]^{C}[/tex][tex]\underline{X}[/tex] = [tex]\underline{X'}[/tex][tex]_{1}[/tex]'([tex]\underline{X'}[/tex][tex]_{1}[/tex][tex]\underline{X}[/tex][tex]_{1}[/tex])[tex]^{-1}[/tex][tex]\underline{X'}[/tex][tex]_{1}[/tex]

    3. The attempt at a solution
    I would like to, but I don't have an idea how to solve this problem. I hope somebody can help me here.
    Last edited: Jul 28, 2010
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted