1. The problem statement, all variables and given/known data Let A= [-1 4 3 -12] Find two 2x2 matrices B and C such that AB=AC but B does not equal C . 2. Relevant equations 3. The attempt at a solution I was going through my book, and am a bit confused with this problem. How would I solve this? I know it's easy to prove AB = AC if B = C, as you could cancel the A's out by multiplying A^(-1) on each side if the matrix was invertible... but I'm not sure how to solve for the matrices B and C, given A if B cannot equal C. Any suggestions on how to begin this problem would be very helpful. Thanks!