\documentclass{article}
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\title{Basis Practice}
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\date{}
\begin{document}
\maketitle


Find a basis for each of the following homogeneous linear systems.

\begin{equation}
\begin{bmatrix}
1 & 2 & 0 & 3 & | & 0 \\
2 & 4 & 1 & 10 & | & 0 \\
3 & 6 & 2 & 17 & | & 0 \\
4 & 8 & -2 & -8 & | & 0
\end{bmatrix}
\end{equation}
\vfill

\begin{equation}
\begin{bmatrix}
0 & 1 & 2 & 2 & 11 & | & 0 \\
0 & 2 & 5 & 7 & 33 & | & 0 \\
0 & 1 & 2 & 3 & 14 & | & 0 
\end{bmatrix}
\end{equation}
\vfill

\begin{equation}
\begin{bmatrix}
-2 & -2 & -1 & | & 0 \\
3 & 3 & 1 & | & 0 \\
8 & 8 & 7 & | & 0
\end{bmatrix}
\end{equation}
\end{document}