If A is a skew-symmetric matrix, then `A^(2)` is a .................

Explanation

To determine whether \( A^2 \) is a symmetric or skew-symmetric matrix when \( A \) is a skew-symmetric matrix, we will follow these steps:

### Step-by-Step Solution:

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

2. **Finding the Transpose of \( A^2 \)**:
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