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-1. (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.
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-1.\\
(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.