1. The problem statement, all variables and given/known data If A and B are 3 x 3 matrices satisfying det(2A(B^-1)) = -20 and det((A^2)(B(transpose))) = 50, find det(A) and det(B) 2. Relevant equations None 3. The attempt at a solution I'm not quite sure how to do the question at all. I've just been guessing the determinants and seeing if it satisfies the two equations. I found that det(A) = -5 and det(B) = 2, but I just guessed. How can I work this out?