If `A` and `B` are symmetric matrices of the same order, write whether `A B-B A` is symmetric or skew-symmetric or neither of the two.

Explanation

Given that,

`A` and `B` are symmetric matrix

`A^T=A`

`B^T=B`


Now, `(AB-BA)^T=(AB)^T-(BA)^T`

`=B^TA^T-A^TB^T`

`=BA-AB`

`(AB-BA)^T=-(AB-BA)`


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