Find a basis for the column space of the matrix
\[\begin{bmatrix} -6 & 30 & -30 & 6 \\ 3 & -15 & 15 & 2 \\ -1 & 5 & -5 & 3 \end{bmatrix}.\]Click for answer
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\[
\begin{bmatrix}
-6 & 30 & -30 & 6 \\
3 & -15 & 15 & 2 \\
-1 & 5 & -5 & 3
\end{bmatrix}
\]
Solution:
\begin{solution}
\[
\begin{bmatrix}
-6 \\
3 \\
-1
\end{bmatrix} \qquad
\begin{bmatrix}
6 \\
2 \\
3
\end{bmatrix} \qquad
\]
\end{solution}