In this problem, all matrices A and B are n x n square matrices. Are the following statements true or false? If it is true, give a reason; if it is false, give a counterexample. (a) If A is invertible, then det(A-1) - deta (b) det(AB) - det(A)det(B). (c) det(A+B) - det(A) + det(B) (d) det(kA)-k" det(A)