If A and B are symmetric matrices of same order, then AB is symmetric if and only if.......

Explanation

To determine the condition under which the product of two symmetric matrices \( A \) and \( B \) is symmetric, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Symmetric Matrices**:
- A matrix \( A \) is symmetric if \( A = A^T \) (where \( A^T \) is the transpose of \( A \)).
- Similarly, \( B \) is symmetric if \( B = B^T \).

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