Question
Write a 2×2 matrix which is both symmetric and skew-symmetric.
✓
Answer
A matrix which is both symmetric and skew-symmetric is a null matrix.
Hence, the required matrix is $\begin{bmatrix}0&0\\0&0 \end{bmatrix}$.
Hence, the required matrix is $\begin{bmatrix}0&0\\0&0 \end{bmatrix}$.
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