Let $A$ and $B$ be two symmetric matrices of order $3$. Statement - 1 : $A(BA)$ and $(AB)$$A$ are symmetric matrices. Statement - 2 : $AB$ is symmetric matrix if matrix multiplication of $A$ with $B$ is commutative.

Question

Let $A$ and $B$ be two symmetric matrices of order $3$.

Statement - 1 : $A(BA)$ and $(AB)$$A$ are symmetric matrices.

Statement - 2 : $AB$ is symmetric matrix if matrix multiplication of $A$ with $B$ is commutative.

statement - 1 is true, statement - 2 is true; statement - 2 is not a correct explanation for statement - 1.

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.

Solution

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