If AAA and BBB are n×nn \times nn×n invertible matrices, which of the following is true?
(AB)−1=A−1B−1(AB)^{-1} = A^{-1}B^{-1}(AB)−1=A−1B−1
(AB)−1=B−1A−1(AB)^{-1} = B^{-1}A^{-1}(AB)−1=B−1A−1
det(AB)=det(A)det(B)\det(AB) = \det(A)\det(B)det(AB)=det(A)det(B)
det(A+B)=det(A)+det(B)\det(A+B) = \det(A) + \det(B)det(A+B)=det(A)+det(B)