if B is skew symmetric matrix then find ...

if B is skew symmetric matrix then find matrix `ABA^T` is symmetric or skew symmetric

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`C=ABA^T`
`C^T=(ABA^T)^T`
`=(A^T)^TB^TA^T`
`=A(-B)A^T`
`=-ABA^T=-C`
`C^T=-C`
Skew symmetric metrics.

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