1. The problem statement, all variables and given/known data If A and C are nxn matricies, with C invertible, prove that det(A)=det((C^-1)AC). 2. Relevant equations 3. The attempt at a solution I think the way to go is to show that if A=(C^-1)AC, then det(A)=det((C^-1)AC), but I'm not sure how to show A=(C^-1)AC. I know CC^-1=(C^-1)C=I, but I just can't see how to put this all together.