1. The problem statement, all variables and given/known data Prove: If A is an invertible matrix and k is a positive integer, then (A^k)^-1 = (A^-1)(A^-1) ....A^-1=(A^-1)^k 2. Relevant equations none 3. The attempt at a solution I have a hard time proving this. How do I go about doing this? Any help would be great. I really want to understand this. Thank you.