CUET · MATHS · PYQ PAPER 2025
If A and B are two square symmetric matrices of same order, then AB-BA is
- A a symmetric matrix
- B a skew-symmetric matrix
- C neither a symmetric nor a skew-symmetric
- D always a diagonal matrix
Answer & Solution
Correct Answer
(B) a skew-symmetric matrix
Step-by-step Solution
Detailed explanation
\((A^T = A)\) \((B^T = B)\) \((AB - BA)^T = (AB)^T - (BA)^T\) \(= B^T A^T - A^T B^T\) \(= BA - AB\) \(= -(AB - BA)\) a skew-symmetric matrix
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