If is a matrix of order such that and

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

If AA is a matrix of order 33 such that ∣A∣=5|A|=5 and B=adj⁡AB=\operatorname{adj}A, then the value of ∣A−1(AB)T∣\left|A^{-1}(AB)^T\right| is equal to: (a) 55 (b) 11 (c) 2525 (d) 125\dfrac{1}{25}

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