If A, B Are Symmetric Matrices of Same Order, Then Ab − Ba Is a - CBSE (Science) Class 12 - Mathematics
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If A, B are symmetric matrices of same order, then AB − BA is a
A. Skew symmetric matrix B. Symmetric matrix
C. Zero matrix D. Identity matrix
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.