If `B` is a skew-symmetric matrix, write whether the matrix `A B\ A^T` is symmetric or skew-symmetric.

Explanation

Given: B is a skew- symmetric matrix

`implies B^T=-B......(i)`

Now

`(ABA^T)^T=(A^T)^TB^TA^T`

{As `(AB)^T=B^TA^T`}

`implies (ABA^T)^T= AB^TA^T`

{As `(A^T)^T=A`}

Now from (i) we get

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