If \(A,B\) are symmetric matrices of same order, the \(AB-BA\) is a

Skew symmetric matrix Symmetric matrix Zero matrix Identity matrix

Skew symmetric matrix

\(\left(AB-BA\right)^{\prime}=\left(AB\right)^{\prime}-\left(BA\right)^{\prime}=B^{\prime}A^{\prime}-A^{\prime}B^{\prime}=BA-AB=-\left(AB-BA\right)\)