Demo3-5.ptx

<exercise checkit-seed="0005" checkit-slug="Demo3" checkit-title="Matrix Example">
    <statement>
        <p>Consider the following system of equations:</p>
        <me>\begin{matrix}
 -2 \, x_{1} &amp;  +  &amp; 6 \, x_{2} &amp;  -  &amp; 6 \, x_{3} &amp;  -  &amp; 2 \, x_{4} &amp; = &amp; 4 \\
 3 \, x_{1} &amp;  -  &amp; 9 \, x_{2} &amp;  +  &amp; 9 \, x_{3} &amp;  +  &amp; x_{4} &amp; = &amp; 0 \\
 -3 \, x_{1} &amp;  +  &amp; 9 \, x_{2} &amp;  -  &amp; 9 \, x_{3} &amp;  -  &amp; 2 \, x_{4} &amp; = &amp; 3 \\
 \end{matrix}</me>
        <p>Write an augmented matrix corresponding to this system.</p>
    </statement>
    <answer>
        <me>\left(\begin{array}{rrrr|r}
-2 &amp; 6 &amp; -6 &amp; -2 &amp; 4 \\
3 &amp; -9 &amp; 9 &amp; 1 &amp; 0 \\
-3 &amp; 9 &amp; -9 &amp; -2 &amp; 3
\end{array}\right)</me>
    </answer>
</exercise>