CUET · MATHS · PYQ PAPER 2023
If a matrix \(A\) is both symmetric and skew-symmetric, then :
- A A is a diagonal matrix
- B A is a zero matrix
- C A is a scalar matrix
- D A is a square matrix
Answer & Solution
Correct Answer
(B) A is a zero matrix
Step-by-step Solution
Detailed explanation
\(A = A^T\) \(A = -A^T\) \(A = -A \Rightarrow 2A = 0 \Rightarrow A = 0\) A is a zero matrix.
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