Let A and B be two n x n matrices that are related by the equation (P^-1)(A)(P) = B, where P is another n x n matrix. Prove that det(A) = det(B).
The Attempt at a Solution
I'm thinking the first step might be to come up with general forms of A and B that are related by the above equation? I've been trying to do that and not been successful so far. Any ideas? thanks