Find a basis for the column space of the matrix
\[\begin{bmatrix} -2 & -1 & -3 & -4 \\ -3 & 1 & -17 & -1 \\ -1 & 0 & -4 & -1 \end{bmatrix}.\]Click for answer
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\[
\begin{bmatrix}
-2 & -1 & -3 & -4 \\
-3 & 1 & -17 & -1 \\
-1 & 0 & -4 & -1
\end{bmatrix}
\]
Solution:
\begin{solution}
\[
\begin{bmatrix}
-2 \\
-3 \\
-1
\end{bmatrix} \qquad
\begin{bmatrix}
-1 \\
1 \\
0
\end{bmatrix} \qquad
\]
\end{solution}