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If a and B Are Symmetric Matrices, Prove that Ab − Ba is a Skew Symmetric Matrix - CBSE (Commerce) Class 12 - Mathematics

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Question

If A and B are symmetric matrices, prove that AB − BA is a skew symmetric matrix

Solution

It is given that A and B are symmetric matrices. Therefore, we have:

Thus, (AB − BA) is a skew-symmetric matrix.

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Solution If a and B Are Symmetric Matrices, Prove that Ab − Ba is a Skew Symmetric Matrix Concept: Symmetric and Skew Symmetric Matrices.
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