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Show that the matrix B^TA B is symmetric...

Show that the matrix `B^TA B` is symmetric or skew-symmetric according as A is symmetric or skew-symmetric.

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`P=B^TAB`
`P^T=(B^T(AB))^T`
`P^T=(AB)^T(B^T)^T`
`P^T=B^TA^TB`
If A is symetric
`P^T=B^TAB=P
P is also a symetric
if A is Skew symetric
...
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