1. The problem statement, all variables and given/known data Let A, B and C be 3 x 3 invertible matrices where det A = -2 ,det B = -2 and det C is some non-zero scalar. Then det (CTA−1B2C−1) = ? and det [ −2(A2)TC2B−1(C−1)2] = ? the T represents transpose and the -1 represents inverse. 2. Relevant equations What does the non-zero scalar mean? 3. The attempt at a solution I used the rule to expand the products of the determinants, but I'm not sure what to do next and what it means by non-zero scalar.