Let \( A \) and \( B \) be two invertible matrices of order \( 3 \t...

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Let \( A \) and \( B \) be two invertible matrices of order \( 3 \times 3 \). If det \( \left(A B A^{1}\right)=8 \) and \( \operatorname{det}\left(\mathrm{AB}^{-1}\right)=8 \), then \( \operatorname{det}\left(\mathrm{BA}^{-1} \mathrm{~B}^{1}\right) \) is equal
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[JEE Main-2019 (January)]
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(a) \( \frac{1}{4} \)
(b) 1
(c) \( \frac{1}{16} \)
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