If a matrix A is both symmetric and skew-symmetric, then A must be:
If a matrix A is both symmetric and skew-symmetric, then A must be:
- A. Zero matrix
- B. Identity matrix
- C. Diagonal matrix
- D. Scalar matrix
Answer: A) Zero matrix
Explanation: If A is symmetric, A' = A. If A is skew-symmetric, A' = −A. Equating: A = −A → 2A = 0 → A = 0. So A is the zero matrix.
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