ith the computation.
</PRE>
<h4><a name="Examples">Examples</a></h4>
<PRE>
   Typically the matrix m1 will be a rotation matrix.  Because
   the transpose of an orthogonal matrix is equivalent to its
   inverse, applying the rotation to the vector is accomplished by
   multiplying the vector by the transpose of the matrix.

          -1
   let  m1   * vin = vout. If m1 is an orthogonal matrix,
   then  (m1**t) * vin = vout.


      If m1 = |  1.  1.  0. |   and  vin = |  5. |
              |             |  