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

Explanation

To prove that if \( A \) is a skew-symmetric matrix, then \( A^2 \) is a symmetric matrix, we can follow these steps:

### Step 1: Definition of Skew-Symmetric Matrix
A matrix \( A \) is called skew-symmetric if \( A^T = -A \). This means that the transpose of \( A \) is equal to the negative of \( A \).

### Step 2: Find the Transpose of \( A^2 \)
We need to find the transpose of \( A^2 \):
\[
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