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Determinantsmedium
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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?