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If A, B Are Symmetric Matrices of Same Order, Then Ab − Ba Is a - CBSE (Science) Class 12 - Mathematics

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Question

If AB are symmetric matrices of same order, then AB − BA is a

A. Skew symmetric matrix B. Symmetric matrix

C. Zero matrix D. Identity matrix

Solution

The correct answer is A.

A and B are symmetric matrices, therefore, we have:

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

 

  Is there an error in this question or solution?
Solution If A, B Are Symmetric Matrices of Same Order, Then Ab − Ba Is a Concept: Order of a Matrix.
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