Let A, B, and C be 3x3 invertible matrices where det A = detB = detC det(-(Atranspose)^2BinverseCinverse) = ? det[-2(A^2)transposeBtransposeCinverse) = ?
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Originally Posted by eiktmywib det(-(Atranspose)^2BinverseCinverse) = ? I do this one. $\displaystyle \det (- (A^T)^2 B^{-1} C^{-1}) = (-1)^3 [\det (A^T)]^2 \det (B^{-1})\det (C^{-1}) $$\displaystyle = -1 \frac{\det (A) \det (A)}{\det (B) \det (C)} = -1$
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