Let A and B be two invertible matrices of order 3 3 . If det(ABA T ) = 8 and det(AB -1 )…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
Let A and B be two invertible matrices of order \(3 \times 3\). If det(ABAT) = 8 and det(AB-1) = 8, then det(BA-1 BT) is equal to:
- \(\frac{1}{4}\)
- 16
- \(\frac{1}{16}\)
- 1
Answer
(A) 1 4
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