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Matrices — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSMatrices1 Mark
Question
If $A$ is a square matrix, then $A-A^{\prime}$ is a
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Answer

(b) : As $\left(A-A^{\prime}\right)^{\prime}=A^{\prime}-\left(A^{\prime}\right)^{\prime}=A^{\prime}-A=-\left(A-A^{\prime}\right)$, therefore, $A-A^{\prime}$ is a skew-symmetric matrix.

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