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If A and B are symmetric matrices of the same order, then |
(AB+BA) is skew symmetric matrix. (AB+BA) is always a diagonal matrix. (AB+BA) is a symmetric matrix. (AB-BA) is a symmetric matrix. |
(AB+BA) is a symmetric matrix. |
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. |
