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# If A and B are symmetric matrices of same order, then AB is symmetric if and only if ___________ .

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• A square matrix A=[a$_{ij}$] is said to be symmetric if A'=A that is $[a_{ij}]=[a_{ji}]$ for all possible value of i and j.

If A and B are symmetric matrices of same order,then AB is symmetric if and only if AB=BA.