Question: Let $A$ and $B$ be two symmetric matrices of order 3 .
Statement-1 : A(BA) and (AB)A are symmetric matrices.
Statement- $2: \mathrm{AB}$ is symmetric matrix if matrix multiplication of A with B is commutative.
Statement- 1 is true, Statement- 2 is false.
Statement-1 is false, Statement- 2 is true
Statement- 1 is true, Statement- 2 is true; Statement- 2 is a correct explanation for Statement-1
Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1
Correct Option: , 4
Solution: