Basis for the Span

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Find a basis for the span of the vectors

\[ \begin{bmatrix} -2 \\ -1 \\ 1 \end{bmatrix} \qquad \begin{bmatrix} 1 \\ -5 \\ -3 \end{bmatrix} \qquad \begin{bmatrix} -1 \\ -5 \\ -1 \end{bmatrix} \qquad \begin{bmatrix} -10 \\ -44 \\ -10 \end{bmatrix} \qquad .\]

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Problem:

\[
\begin{bmatrix} 
 -2  \\ 
 -1  \\ 
 1
\end{bmatrix} \qquad 
\begin{bmatrix} 
 1  \\ 
 -5  \\ 
 -3
\end{bmatrix} \qquad 
\begin{bmatrix} 
 -1  \\ 
 -5  \\ 
 -1
\end{bmatrix} \qquad 
\begin{bmatrix} 
 -10  \\ 
 -44  \\ 
 -10
\end{bmatrix} \qquad 
.
\]

Solution:

\begin{solution}
\[
\begin{bmatrix} 
 -2  \\ 
 -1  \\ 
 1
\end{bmatrix} \qquad
\begin{bmatrix} 
 1  \\ 
 -5  \\ 
 -3
\end{bmatrix} \qquad
\begin{bmatrix} 
 -1  \\ 
 -5  \\ 
 -1
\end{bmatrix} \qquad
\]
\end{solution}