title: how to overload Times and Plus for matrix multiplication in mathematica
body: <p>I want to overload <code>Times</code> and <code>Plus</code> for matrix multiplication in mathematica, for example, let <code>Times</code> be <code>BitAnd</code>, and Plus be <code>BitOr</code>, then do the matrix multiplication.</p>
  
  <p>Is there anyway to do this in a simple way, without rewriting my own matrix multiplication?</p>
  
  <p>Thanks.</p>