- #1

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## Homework Statement

Find a matrix, A, such that A

^{3}=0, but A

^{2}≠0.

## Homework Equations

## The Attempt at a Solution

I don't actually think this is possible. My only other thought is to take A

^{2}*A where this product equals zero, and then decompose A. But I don't know how to do that such that it is the "square root" of A.