1. The problem statement, all variables and given/known data Show that if A is skew symmetric, then Ak is skew symmetric for any positive odd integer k. 2. Relevant equations 3. The attempt at a solution Wow, I have no idea how to prove this. I'm guessing there's going to be induction involved. I know that the base case of k = 1 is true, because A1 = A, where A is skew symmetric. But after that, I don't know what to do at all. Any suggestions on where to go from here?