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Let A and B be two symmetric matrices of...

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

A

Statement -1 is true, Statement-2 is false

B

Statement 1 is false, Statement -2 is true.

C

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

D

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

Text Solution

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The correct Answer is:
D
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