for another 
matrix 
.Independent Controls
Here's the picture of for another matrix .
Like before you control 
on the left and 
responds on the right.
This time you control the two coordinates of 
independently.
Use the red point to control horizontal movement.
Use the blue point to control vertical movement.
The vector 
appears in the plot on the right.
Use the graphic to find 
that solves 
.
Here's the same picture of 
, but now you see where the matrix 
sends the grid in the left plot.
The matrix 
sends the grid in the left plot to a slanted grid in the right plot.
The grid makes it easier to find that 
is the solution to 
.
Here's the same picture of 
with 
added.
(Q4) Solve 
.
Copyright © 2007 Todd Will
Created by
Mathematica (April 15, 2007)