For any square matrix write whether `A``A^T` is symmetric or skew-symmetric.

Explanation

To determine whether the product \( A A^T \) is symmetric or skew-symmetric for any square matrix \( A \), we will follow these steps:

### Step 1: Understand the Definitions
- A matrix \( M \) is **symmetric** if \( M^T = M \).
- A matrix \( M \) is **skew-symmetric** if \( M^T = -M \).

### Step 2: Take the Transpose of \( A A^T \)
We need to find the transpose of the product \( A A^T \). Using the property of transposes for matrix multiplication, we have:
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