‹ Back to the paper
Choose the correct option.
If A and B are matrices of same order, then AB' - BA' is a:
If $A$ and $B$ are matrices of same order, then $AB' - BA'$ is a:
- aNull matrix
- bUnit matrix
- cSymmetric matrix
- dSkew symmetric matrix
Answer
Answer
Correct option: d
Answer: (d) Skew symmetric matrix
$(AB^T-BA^T)^T=(AB^T)^T-(BA^T)^T=BA^T-AB^T=-(AB^T-BA^T)$, so the matrix equals the negative of its transpose.