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

Reduce P = A(ATA)-1AT to P = BBT

  1. Aug 14, 2009 #1
    How do I reduce P = A(ATA)-1AT to P = BBT whenever the column vectors of A form an orthonormal set.
     
  2. jcsd
  3. Aug 14, 2009 #2
    Re: Proof

    If the columns are an orthonormal set, then A^T A == I (where I has rank of the number of columns). The proof is mainly writing out that product in block form.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook