The set does not span all of \(\mathbb{R}^{ 3 }\).

Vectors:
\[
\begin{bmatrix} 
 -1  \\ 
 3  \\ 
 2
\end{bmatrix} \quad \begin{bmatrix} 
 1  \\ 
 -3  \\ 
 -2
\end{bmatrix} \quad \begin{bmatrix} 
 -5  \\ 
 -3  \\ 
 -1
\end{bmatrix} \quad \begin{bmatrix} 
 3  \\ 
 -9  \\ 
 -6
\end{bmatrix} \quad 
\]
        

The set does not span all of \(\mathbb{R}^{ 3 }\).