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 .

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Copyright © 2007 Todd Will

Created by
Mathematica (April 15, 2007)