Express the matrix \(\rm A=\begin{pmatrix}4&2&-3\\\ 1&3&-6\\\ -5&0&-7\end{pmatrix}\) as the sum of a symmetric and a skew-symmetric matrix.
1
\(\rm \begin{pmatrix}4&1.5&-4\\\ 1.5&3&-3\\\ -4&-3&-7\end{pmatrix}+\rm \begin{pmatrix}2&0.5&1\\\ -0.5&0&-3\\\ -1&3&0\end{pmatrix}\)
2
\(\rm \begin{pmatrix}4&1.5&-4\\\ 1.5&1&-3\\\ -4&-3&-7\end{pmatrix}+\rm \begin{pmatrix}0&0.5&1\\\ -0.5&0&-3\\\ -1&3&0\end{pmatrix}\)
3
\(\rm \begin{pmatrix}4&1.5&-4\\\ 1.5&3&-3\\\ -4&-3&-7\end{pmatrix}+\rm \begin{pmatrix}0&0.5&1\\\ -0.5&2&-3\\\ -1&3&0\end{pmatrix}\)
4
\(\rm \begin{pmatrix}4&1.5&-4\\\ 1.5&3&-3\\\ -4&-3&-7\end{pmatrix}+\rm \begin{pmatrix}0&0.5&1\\\ -0.5&0&-3\\\ -1&3&0\end{pmatrix}\)