Two invertible matrices|Matrices|JEE MAIN 2019

JEE MAIN 2019

11-01-2019 S2

Question

Let $A$ and $B$ be two invertible matrices of order $3 \times 3$. If $\operatorname{det}\left(A B A^{\top}\right)=8$ and $\operatorname{det}\left(A B^{-1}\right)=8$, then $\operatorname{det}\left(B A^{-1} B^{\top}\right)$ is equal to

Select the correct option:

$\frac{1}{16}$

$\frac{1}{4}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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