\left\{ {\left[ {\begin{array}{*{20}c}
{x_1 } \\
{x_2 } \\
{x_3 } \\
\end{array} } \right]:\left[ {\begin{array}{*{20}c}
1 & 0 & { - 7} \\
0 & 1 & { - 2} \\
0 & 0 & 0 \\
\end{array} } \right]\left[ {\begin{array}{*{20}c}
{x_1 } \\
{x_2 } \\
{x_3 } \\
\end{array} } \right] = \left[ {\begin{array}{*{20}c}
0 \\
0 \\
0 \\
\end{array} } \right]} \right\} = \left\{ {\left[ {\begin{array}{*{20}c}
{7x_3 } \\
{2x_3 } \\
{x_3 } \\
\end{array} } \right]:x_1 \in \mathbb{R}} \right\} = \left\langle {\left[ {\begin{array}{*{20}c}
7 \\
2 \\
1 \\
\end{array} } \right]} \right\rangle |