Example SYM A symmetric $5\times 5$ matrix

The matrix \begin{equation*} E= \begin{bmatrix} 2&3&-9&5&7\\ 3&1&6&-2&-3\\ -9&6&0&-1&9\\ 5&-2&-1&4&-8\\ 7&-3&9&-8&-3 \end{bmatrix} \end{equation*} is symmetric.