For n×nn \times nn×n matrices, det(A)=3\det(A) = 3det(A)=3, det(B)=−2\det(B) = -2det(B)=−2, and det(C)=−1\det(C) = -1det(C)=−1. What is det(ABTC−1B)\det(AB^T C^{-1} B)det(ABTC−1B) where n=3n = 3n=3?
181818
−18-18−18
−6-6−6
666