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Choose the correct option.
If A and B are symmetric matrices of the same order, then AB - BA is:
If $A$ and $B$ are symmetric matrices of the same order, then $AB - BA$ is:
- (a)Skew-symmetric matrix
- (b)Symmetric matrix
- (c)Diagonal matrix
- (d)Identity matrix
Answer
Answer
Correct option: (a)
Answer: (a) Skew-symmetric matrix
$(AB - BA)^T = B^TA^T - A^TB^T = BA - AB = -(AB - BA)$, since $A^T = A$ and $B^T = B$.