JEE Main 2011 Mathematics question

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 : A(BA) and (AB)A are symmetric matrices. Statement - 2 : AB is symmetric matrix if matrix multiplication of A and B is commutative.

• (1)Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1Correct
• (2)Statement −1 is true, Statement −2 is false.
• (3)Statement −1 is false, Statement- 2 is true.
• (4)Statement −1 is true, Statement −2 is true; Statement −2 is a correct explanation for Statement −1