General solutions

Here's the picture of for the matrix .

You see that so the singular values are and .

Solving when .

First, you know that will have a solution only if is a multiple of .

In the graphic you can spot that .

Since , you know that is one solution to .

Second, you know that changing the amount of in does not affect .

So is a solution for every value of .

The general solution to is .

Here's the picture of for the matrix .

(Q29) From the picture you can see that and and .

(Q30) In terms of and , give the general solution to .

Answer: .

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Copyright © 2007 Todd Will

Created by
Mathematica (April 14, 2007)