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Choose the correct answer If A, B are symmetric matrices of same order, then AB – BA is a (A) Skew symmetric matrix (B) Symmetric matrix (C) Zero matrix (D) Identity matrix

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Given:` A_(nXn)=A_(nXn)^T`
`B_(nXn)=B_(nXn)^T`
proof
`(AB-BA)^T=(AB)^T-(BA)^T`
=`B^TA^T-A^TB^T`
=BA-AB
=-(AB-BA)
So, it is a skew symmetric matrix
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