1. The problem statement, all variables and given/known data Let A and B be (2x2) matrices such that A^2 = AB and A does not equal the zero matrix O. Find the flaw in the following proof that A = B: Since A^2 = AB, A^2 - AB = the zero matrix O Factoring yields A(A-B) = O Since A does not equal O, it follows that A - B = O. Therefore, A = B. 3. The attempt at a solution I tried setting up two matrices A and B where A = [ a b, c d] and B = [ e f, g h] and following through on the steps of the proof to see if each of the statements was true. However, I kept finding that they were all true. Please help. Thanks.