CUET · MATHS · PYQ PAPER 2025
If A and B are symmetric matrices, then \(A B-B A\) is
- A Singular matrix
- B Zero matrix
- C Symmetric matrix
- D Skew symmetric matrix
Answer & Solution
Correct Answer
(D) Skew symmetric matrix
Step-by-step Solution
Detailed explanation
\( A^T = A, B^T = B \) \( (AB - BA)^T = (AB)^T - (BA)^T \) \( = B^T A^T - A^T B^T \) \( = BA - AB \) \( = -(AB - BA) \) Skew symmetric matrix
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