Express the following matrices as the sum of a symmetric and a skew symmetric matrix:
(i) \(\begin{bmatrix}
3&5 \\[0.3em]
1& -1 \\[0.3em]
\end{bmatrix}\)
(ii) \(\begin{bmatrix}
6&-2& 2\\[0.3em]
-2 &3 &-1\\[0.3em]
2 & -1& 3
\end{bmatrix}\)
(iii) \(\begin{bmatrix}
3&3& -1 \\[0.3em]
-2& -2 &1 \\[0.3em]
-4 &-5 &2
\end{bmatrix}\)
(iv) \( = \begin{bmatrix}
1 &5 \\[0.3em]
-1& 2 \\[0.3em]
\end{bmatrix}\)