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Determinantsmedium
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If det⁡(A)=−5\det(A) = -5det(A)=−5 for a 4×44 \times 44×4 matrix AAA, which of the following statements are TRUE? (Select all that apply)

(i) det⁡(AT)=−5\det(A^T) = -5det(AT)=−5

(ii) AAA is invertible

(iii) det⁡(A−1)=−15\det(A^{-1}) = -\frac{1}{5}det(A−1)=−51​