Just go by definition. If A is a square matrix and there exists another matrix B such that , then B is the inverse of A.
So, all you have to show is that:
I took "baby" linear algebra over the summer and now I'm in calc III and we do a mini-linear algebra unit at the end of Calc III. Unfortunately, I don't have my old linear algebra book to use as a reference which is truly unfortunate. If someone could get help me get my wheels churning on a few problems I would really appreciate it!
If matrices A and B are invertible, show that