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Mathematics · 2024 · 1 mark
CBSE 2024 · Region 2 · Set 1 · Q19
Assertion (A): For any symmetric matrix A, B^′ AB is a skew-symmetric matrix. Reason (R): A square matrix P is skew-symmetric if P^′=- P.
Assertion (A) : For any symmetric matrix $\displaystyle \mathrm{A}, \mathrm{B}^{\prime} \mathrm{AB}$ is a skew-symmetric matrix. Reason $\displaystyle (R)$ : A square matrix P is skew-symmetric if $\displaystyle \mathrm{P}^{\prime}=-\mathrm{P}$.
Official answer
(D)
Assertion (A) is false, but Reason (R) is true.
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CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.