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 : $$A(BA)$$ and $$(AB)$$$$A$$ are symmetric matrices.
Statement - 2 : $$AB$$ is symmetric matrix if matrix multiplication of $$A$$ with $$B$$ is commutative.
- Astatement - 1 is true, statement - 2 is true; statement - 2 is not a correct explanation for statement - 1.
- Bstatement - 1 is true, statement - 2 is false.
- Cstatement - 1 is false, statement -2 is true
- Dstatement -1 is true, statement - 2 is true; statement - 2 is a correct explanation for statement - 1.
✓ Correct answer: A
Want the full step-by-step reasoning?