JEE Main 2011 — Matrices Question with Solution

Let $A$ and $B$ be two symmetric matrices of order 3 . This question has Statement $-1$ and Statement $-2$. Of the four choices given after the statements, choose the one that best describes the two statements. Statement $-1$ : $\mathrm{A}(\mathrm{BA})$ and $(\mathrm{AB})\mathrm{A}$ are symmetric matrices. Statement - 2 : $AB$ is symmetric matrix if matrix multiplication of $A$ and $B$ is commutative.