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HomeJEE MainMathematicsMatrices and Determinants › For matrices A, B (square, same size): (AB)^T =

For matrices A, B (square, same size): (AB)^T =

AA^T × B^T
BA B
C(AB) directly
DB^T A^T (order reversed)
Answer & Solution
Correct answer: D. B^T A^T (order reversed)
(AB)^T = B^T A^T. Important property: transpose reverses the order. Similarly (AB)⁻¹ = B⁻¹ A⁻¹.
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