1. The problem statement, all variables and given/known data Find a matrix, A, such that A3=0, but A2≠0. 2. Relevant equations 3. The attempt at a solution I don't actually think this is possible. My only other thought is to take A2*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.