title: Changing a matrix from right-handed to left-handed coordinate system
body: <p>I would like to change a 4x4 matrix from a right handed system where:<br />
  x is left and right, y is front and back and z is up and down</p>
  <p>to a left-handed system where:<br />
  x is left and right, <b>z</b> is front and back and <b>y</b> is up and down.</p>
  <p>For a vector it's easy, just swap the y and z values, but how do you do it for a matrix?
  <a href="https://i.stack.imgur.com/iDgv6.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/iDgv6.png" alt="enter image description here" /></a></p>