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If $A$ and $B$ are symmetric matrices of the same order, then

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AB is a symmetric matrix

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detailed solution

Correct option is C

(AB+BA)T=(AB)T+(BA)T ⇒BTAT+ATBT=BA+AB=AB+BA (∵ AT=A and BT=B) .

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If A and B are symmetric matrices of the same order, then

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If $A$ and $B$ are symmetric matrices of the same order, then