Basis for the Span

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Find a basis for the span of the vectors

\[ \begin{bmatrix} 2 \\ 4 \\ 4 \end{bmatrix} \qquad \begin{bmatrix} 1 \\ -5 \\ -3 \end{bmatrix} \qquad \begin{bmatrix} -4 \\ 3 \\ -2 \end{bmatrix} \qquad \begin{bmatrix} -28 \\ 13 \\ -16 \end{bmatrix} \qquad .\]

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Problem:

\[
\begin{bmatrix} 
 2  \\ 
 4  \\ 
 4
\end{bmatrix} \qquad 
\begin{bmatrix} 
 1  \\ 
 -5  \\ 
 -3
\end{bmatrix} \qquad 
\begin{bmatrix} 
 -4  \\ 
 3  \\ 
 -2
\end{bmatrix} \qquad 
\begin{bmatrix} 
 -28  \\ 
 13  \\ 
 -16
\end{bmatrix} \qquad 
.
\]

Solution:

\begin{solution}
\[
\begin{bmatrix} 
 2  \\ 
 4  \\ 
 4
\end{bmatrix} \qquad
\begin{bmatrix} 
 1  \\ 
 -5  \\ 
 -3
\end{bmatrix} \qquad
\begin{bmatrix} 
 -4  \\ 
 3  \\ 
 -2
\end{bmatrix} \qquad
\]
\end{solution}