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If A and B are symmetric matrices, prove...

If A and B are symmetric matrices, prove that AB – BA is a skew symmetric matrix.

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Given
`A^T=A`(1)
`B^T=B`(2)
Proof
`(AB-BA)^T=(AB)^T-(BA)^T`
=`B^TA^T-A^TB^T`
=`-(A^TB^T-B^TA^T)`
=-(AB-BA) From equation (1) and (2)
...
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