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Solve this following

Question:

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

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

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

  1. Statement- 1 is true, Statement- 2 is false.

  2. Statement-1 is false, Statement- 2 is true

  3. Statement- 1 is true, Statement- 2 is true; Statement- 2 is a correct explanation for Statement-1

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

Correct Option: , 4

Solution:

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