Demo3-6.ptx

<exercise checkit-seed="0006" checkit-slug="Demo3" checkit-title="Matrix Example">
    <statement>
        <p>Consider the following system of equations:</p>
        <me>\begin{matrix}
 x_{1} &amp;  +  &amp; 3 \, x_{2} &amp;  -  &amp; 2 \, x_{3} &amp; = &amp; 3 \\
 -x_{1} &amp;  -  &amp; 3 \, x_{2} &amp;  +  &amp; 3 \, x_{3} &amp; = &amp; -2 \\
 &amp;  &amp;  &amp;  -  &amp; 5 \, x_{3} &amp; = &amp; -4 \\
 -x_{1} &amp;  -  &amp; 3 \, x_{2} &amp;  +  &amp; x_{3} &amp; = &amp; -3 \\
 \end{matrix}</me>
        <p>Write an augmented matrix corresponding to this system.</p>
    </statement>
    <answer>
        <me>\left(\begin{array}{rrr|r}
1 &amp; 3 &amp; -2 &amp; 3 \\
-1 &amp; -3 &amp; 3 &amp; -2 \\
0 &amp; 0 &amp; -5 &amp; -4 \\
-1 &amp; -3 &amp; 1 &amp; -3
\end{array}\right)</me>
    </answer>
</exercise>