Demo3-8.ptx

<exercise checkit-seed="0008" checkit-slug="Demo3" checkit-title="Matrix Example">
    <statement>
        <p>Consider the following system of equations:</p>
        <me>\begin{matrix}
 -4 \, x_{1} &amp;  -  &amp; 4 \, x_{2} &amp;  -  &amp; x_{3} &amp; = &amp; -5 \\
 5 \, x_{1} &amp;  +  &amp; 5 \, x_{2} &amp;  +  &amp; x_{3} &amp; = &amp; 7 \\
 -4 \, x_{1} &amp;  -  &amp; 4 \, x_{2} &amp;  +  &amp; 2 \, x_{3} &amp; = &amp; -14 \\
 2 \, x_{1} &amp;  +  &amp; 2 \, x_{2} &amp;  +  &amp; 4 \, x_{3} &amp; = &amp; -8 \\
 \end{matrix}</me>
        <p>Write an augmented matrix corresponding to this system.</p>
    </statement>
    <answer>
        <me>\left(\begin{array}{rrr|r}
-4 &amp; -4 &amp; -1 &amp; -5 \\
5 &amp; 5 &amp; 1 &amp; 7 \\
-4 &amp; -4 &amp; 2 &amp; -14 \\
2 &amp; 2 &amp; 4 &amp; -8
\end{array}\right)</me>
    </answer>
</exercise>