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: Linear Algebra: Orthogonal matrices

  1. Sep 17, 2011 #1
    1. The problem statement, all variables and given/known data

    A matrix M has an inverse iff it is of full column and row rank, and row rank = column rank. Since any orthogonal matrix has full column rank, does that imply that non-singular matrices are orthogonal as well?

  2. jcsd
  3. Sep 17, 2011 #2
    No, we have that orthogonal => full column rank. But we don't have the converse. There are non-singular matrices which are not orthogonal.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook