1. The problem statement, all variables and given/known data Prove that if A, B, and C are square matrices and ABC = I, then B is invertible and B−1 = CA. 2. Relevant equations 3. The attempt at a solution I think I have this figured out, just checking it. Heres what I got: ABC=I (ABC)B-1=IB-1 (B*B-1)AC=IB-1 I*AC=IB-1 Cancel I using left hand cancellation property AC=B-1 Thus B-1=CA Is every thing I've done here mathematically correct?