CUET · MATHS · PYQ PAPER 2025
Let A and B be square matrices of order 3, \(\left[\left(A-A^T\right)+\left(B-B^T\right)\right]\) then det is equal to
- A 0
- B 1
- C -1
- D 3
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Let \(M = \left(A-A^T\right)+\left(B-B^T\right)\). \(M^T = \left(A-A^T\right)^T + \left(B-B^T\right)^T = \left(A^T-A\right) + \left(B^T-B\right) = -\left(A-A^T\right) - \left(B-B^T\right) = -M\). \(M\) is a skew-symmetric matrix of order 3. For a skew-symmetric matrix of odd…
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