If A is a skew-symmetric matrix and `n` is an odd natural number, write whether `A^n` is symmetric or skew-symmetric or neither of the two.

Explanation

To determine whether \( A^n \) is symmetric, skew-symmetric, or neither when \( A \) is a skew-symmetric matrix and \( n \) is an odd natural number, we can follow these steps:

### Step 1: Understand the properties of skew-symmetric matrices
A matrix \( A \) is called skew-symmetric if it satisfies the condition:
\[ A^T = -A \]
where \( A^T \) is the transpose of \( A \).
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