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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 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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