Choose the correct answer If A, B are symmetric matrices of same order, then AB – BA is a (A) Skew symmetric matrix (B) Symmetric matrix (C) Zero matrix (D) Identity matrix

Explanation

To solve the problem, we need to determine the nature of the matrix \( AB - BA \) where \( A \) and \( B \) are symmetric matrices of the same order.

### Step-by-Step Solution:

1. **Understand the properties of symmetric matrices**:
A matrix \( A \) is symmetric if \( A = A^T \), where \( A^T \) is the transpose of \( A \). Similarly, \( B \) is symmetric, so \( B = B^T \).

2. **Find the transpose of \( AB - BA \)**:
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