title: Math: How to convert a left-handed transformation matrix to a right handed one
body: <p>I have a transformation matrix (rotation + translation) which was constructed in a right-handed coordinate system where X is right, Y is up and Z is into the screen. </p>
  
  <p>If I want to apply this same transformation but in a left-handed coordinate system where X is right, Y is <strong>down</strong> and Z is <strong>out of the screen</strong> (is this left handed?) what alterations should I make to the existing transformation matrix.</p>
  
  <p>Thanks</p>