Assertion (A) : For any symmetric matrix \(\mathrm{A}, \mathrm{B}^{\prime} \mathrm{AB}\) is a skew-symmetric matrix.

Reason \((R)\) : A square matrix \(P\) is skew-symmetric if \(\mathrm{P}^{\prime}=-\mathrm{P}\).

Question

Assertion (A) : For any symmetric matrix \(\mathrm{A}, \mathrm{B}^{\prime} \mathrm{AB}\) is a skew-symmetric matrix.

Reason \((R)\) : A square matrix \(P\) is skew-symmetric if \(\mathrm{P}^{\prime}=-\mathrm{P}\).

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Assertion (A) : For any symmetric matrix \(\mathrm{A}, \mathrm{B}^{\prime} \mathrm{AB}\) is a skew-symmetric matrix. Rea…