Move the vector in the plot on the left . You'll see move in the plot on the right.
Check that by moving to . Is on ?
(Q1) Now compute by moving to . Answer:
Check that sends to by moving to . Is on ?
(Q2) Where does send the vector ?
Suppose that for the matrix you want to solve .
The old way of thinking about this problem would be to row reduce .
The new way of thinking about this problem asks you to find the that sends to .
Move the vector until you find the that sends to .
If you found the answer , then you've opened your mind up to a whole new way of solving .
(Q3) Use the graphic to find that solves .
Copyright © 2007 Todd Will
Created by Mathematica (April 15, 2007)