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Mathematics · 2025 · 1 mark
CBSE 2025 · Region 1 · Set 2 · Q6
If A is a square matrix of order 3 such that det (A)=9, then det (9 A^-1) is equal to
If $\displaystyle A$ is a square matrix of order $\displaystyle 3$ such that $\displaystyle \operatorname{det}(A)=9$, then $\displaystyle \operatorname{det}\left(9 A^{-1}\right)$ is equal to
Official answer
(B)
$\displaystyle 9^{2}$
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CBSE Class 12 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.