Write a square matrix of order 2, which is both symmetric and skew symmetric.

Explanation

To find a square matrix of order 2 that is both symmetric and skew-symmetric, we start by recalling the definitions of symmetric and skew-symmetric matrices.

1. **Definition of Symmetric Matrix**: A matrix \( A \) is symmetric if \( A = A^T \), where \( A^T \) is the transpose of \( A \).

2. **Definition of Skew-Symmetric Matrix**: A matrix \( A \) is skew-symmetric if \( A = -A^T \).

Given these definitions, we can set up the equations for a 2x2 matrix \( A \):

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