title: Solve matrix equation in matlab
body: <p>I have an equation of the type <code>c = Ax + By</code> where <code>c</code>, <code>x</code> and <code>y</code> are vectors of dimensions say 50,000 X 1, and <code>A</code> and <code>B</code> are matrices with dimensions 50,000 X 50,000.</p>
  
  <p>Is there any way in Matlab to find matrices <code>A</code> and <code>B</code> when <code>c</code>, <code>x</code> and <code>y</code> are known? </p>
  
  <p>I have about 100,000 samples of <code>c</code>, <code>x</code>, and <code>y</code>. <code>A</code> and <code>B</code> remain the same for all.</p>