Demo3-9.ptx

<exercise checkit-seed="0009" checkit-slug="Demo3" checkit-title="Matrix Example">
    <statement>
        <p>Consider the following system of equations:</p>
        <me>\begin{matrix}
 -x_{1} &amp;  &amp;  &amp;  +  &amp; 3 \, x_{3} &amp; = &amp; -11 \\
 3 \, x_{1} &amp;  +  &amp; x_{2} &amp;  -  &amp; x_{3} &amp; = &amp; 6 \\
 -2 \, x_{1} &amp;  &amp;  &amp;  +  &amp; 5 \, x_{3} &amp; = &amp; -19 \\
 &amp;  &amp;  &amp;  &amp; 2 \, x_{3} &amp; = &amp; -6 \\
 \end{matrix}</me>
        <p>Write an augmented matrix corresponding to this system.</p>
    </statement>
    <answer>
        <me>\left(\begin{array}{rrr|r}
-1 &amp; 0 &amp; 3 &amp; -11 \\
3 &amp; 1 &amp; -1 &amp; 6 \\
-2 &amp; 0 &amp; 5 &amp; -19 \\
0 &amp; 0 &amp; 2 &amp; -6
\end{array}\right)</me>
    </answer>
</exercise>