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If A and B are symmetric matrices of the...

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

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Given `A,B` are both symmetric matrices of same order.
`A^T=A, B^T=B` Now,
`(AB-BA)^T`
`=(AB)^T-(BA)^T`
`= B^T A^T - A^T B^T`
`= BA -AB`
`= -(AB-BA)`
...
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