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Determinantseasy
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Let AAA be a square matrix with det⁡(A)=5\det(A) = 5det(A)=5. What is the value of det⁡(A−TA2)\det(A^{-T} A^2)det(A−TA2), where A−TA^{-T}A−T denotes (AT)−1(A^T)^{-1}(AT)−1?