Three steps to solve

Here's the picture of for the matrix .

You recognize that the diagonal entries of are the singular values. You can also use the graphic to verify the fundamental equations and .

Your job is to solve .

Three steps to solving .

Step 1: Find the coordinates for .

From the plot you see .

Step 2: Divide the and by the singular values 4 and 3 to get .

Step 3: Use these numbers as coordinates for to get

.

Use the graphic to verify that is a solution to

Here's the picture of for the matrix .

This time the vector doesn't move, but the picture has all the info you need to solve .

(Q21) The graphic shows that the singular values are and .

(Q22) Step 1: Find the coordinates for : .

Step 2: Divide the coords by the singular values.

(Q23) Step 3: Use these numbers as coordinates.

The solution to is .

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Copyright © 2007 Todd Will

Created by
Mathematica (April 14, 2007)