Let A be an orthogonal matrix, and B is a matrix such that `AB=BA`, then show that `AB^(T)=B^(T)A`.

Explanation

To prove that if \( A \) is an orthogonal matrix and \( AB = BA \), then \( AB^T = B^T A \), we will follow these steps:

### Step 1: Understand the properties of orthogonal matrices
An orthogonal matrix \( A \) satisfies the property:
\[ A^T A = I \]
where \( I \) is the identity matrix.
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