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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 commu- tative.

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Statement-1 is true, Statement-2 is false

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

Statement-1 is false, Statement-2 is true

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

answer is D.

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Detailed Solution

If A and B are symmetric matrices then A (BA) and (AB)A are symmetric matrices and also AB is symmetric matrix when AB=BA

both are true but (2) is not a correct explanation for (1)

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