1.6.99 Fields, Groups, Rings

Condition: In the group \( S L_{n}(Z) \) find a system of generators consisting of elementary matrices that generate some proper subgroup containing this matrix. \[ \left(\begin{array}{ccc} 2 & -1 & 2 \\ -3 & 1 & -5 \\ -1 & 1 & 0 \end{array}\right) \]