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\author{Teschl Gerald}
\title{Quiz 1}
\date{11 Sep. 1995}

\begin{document}

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\hfill {\bf Name}: $\ul{\hspace*{5cm}}$\\[2mm]
\hspace*{2mm}\hfill {\bf ID \#}: $\ul{\hspace*{5cm}}$\\[5mm]

{\Huge Quiz 1}\\[8mm]

\noindent 1) Which of the following matrices is in reduced echelon form?
\bd
\mb{a)} \left[ \ba{ccc} 1 &amp; 2 &amp; 0 \\ 0 &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 0\ea\right| \left. \ba{c} 1 \\ 1 \\ 1\ea\right] \quad
\mb{b)} \left[ \ba{ccc} 1 &amp; 2 &amp; 0 \\ 0 &amp; 1 &amp; 0 \\ 0 &amp; 0 &amp; 1\ea\right| \left. \ba{c} 3 \\ 0 \\ 2\ea\right]
\ed
\bd
\mb{c)} \left[ \ba{ccc} 1 &amp; \frac{14}{8} &amp; 0 \\ 0 &amp; 0 &amp; 1 \\ 0 &amp; 0 &amp; 0\ea\right| \left. \ba{c} 9 \\ \frac{7}{9} \\ 0\ea\right] \quad 
\mb{d)} \left[ \ba{ccc} 1 &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 1 \\ 0 &amp; 0 &amp; 1\ea\right| \left. \ba{c} 0 \\ 2 \\ 3\ea\right] 
\ed
\vspace*{3mm}\hfill (4pts)\\[8mm]

\noindent 2) Let $x,y,z$ be a solution of
\beas
x + 2 y &amp;=&amp; 0\\ -y + z &amp;=&amp; 2 \\ z &amp;=&amp; 3.
\eeas
What is $x+y+z$?

a) 1 b) 2  c)  3 d) 4 \hfill(6pts)
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