If A and B are symmetric matrices of the same order, then
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (AB+BA) is a symmetric matrix.
Given: $A$ and $B$ are symmetric matrices.
Properties:
- $(AB + BA)^T = B^T A^T + A^T B^T = BA + AB = AB + BA$
- Hence, $(AB + BA)$ is symmetric.