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JEE Math Practice 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.

  1. A.statement - 1 is true, statement - 2 is true; statement - 2 is not a correct explanation for statement - 1.
  2. B.statement - 1 is true, statement - 2 is false.
  3. C.statement - 1 is false, statement -2 is true
  4. D.statement -1 is true, statement - 2 is true; statement - 2 is a correct explanation for statement - 1.

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