Demo3-3.ptx

<exercise checkit-seed="0003" checkit-slug="Demo3" checkit-title="Matrix Example">
    <statement>
        <p>Consider the following system of equations:</p>
        <me>\begin{matrix}
 x &amp;  -  &amp; y &amp;  +  &amp; 4 \, z &amp; = &amp; 4 \\
 2 \, x &amp;  -  &amp; y &amp;  +  &amp; 4 \, z &amp; = &amp; 7 \\
 &amp;  -  &amp; y &amp;  +  &amp; 5 \, z &amp; = &amp; 1 \\
 &amp;  &amp;  &amp;  -  &amp; 2 \, z &amp; = &amp; 0 \\
 \end{matrix}</me>
        <p>Write an augmented matrix corresponding to this system.</p>
    </statement>
    <answer>
        <me>\left(\begin{array}{rrr|r}
1 &amp; -1 &amp; 4 &amp; 4 \\
2 &amp; -1 &amp; 4 &amp; 7 \\
0 &amp; -1 &amp; 5 &amp; 1 \\
0 &amp; 0 &amp; -2 &amp; 0
\end{array}\right)</me>
    </answer>
</exercise>