Find a basis for the column space of the matrix
\[\begin{bmatrix} -3 & 0 & 2 & -16 \\ -1 & 0 & -3 & 2 \\ 4 & 0 & 4 & 8 \end{bmatrix}.\]Click for answer
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\[
\begin{bmatrix}
-3 & 0 & 2 & -16 \\
-1 & 0 & -3 & 2 \\
4 & 0 & 4 & 8
\end{bmatrix}
\]
Solution:
\begin{solution}
\[
\begin{bmatrix}
-3 \\
-1 \\
4
\end{bmatrix} \qquad
\begin{bmatrix}
2 \\
-3 \\
4
\end{bmatrix} \qquad
\]
\end{solution}