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I am having trouble with the following questions

1) Let U be such that AU=0 implies that A=0. If AU=BU, show that A=B.

So far, I did this, but it doesnt seem right to me.

To Show:

A=B

0=A

=AU

=BU

=0

Therefore A = B.

2)If A=

[a b]

[c d] (2x2 matrix, sorry not to sure on how to place them here)

where a is not equal to 0, show that A factors in the form A =

[1 0][y z]

[x 1][0 w] (those are two 2x2 matricies multiplied together)

Im not too sure on how to start on this question at all.

Thanks in advance

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# Homework Help: Linear Algebra Questions

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