\documentstyle[11pt]{article}

\setlength{\textwidth}{6.5in}
\setlength{\textheight}{8.5in}
\hoffset=-.72in
\voffset=-1in


\parskip=2pt 

\begin{document}


\centerline{\bf Math 310 , Applied Linear Algebra, 1 PM section }
\medskip
\centerline{Class Quiz 1 - January 21, 2005}

\bigskip


\centerline{Name:\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\hskip.3in SSN:\_\_\_\_\_\_--\_\_\_\_--\_\_\_\_\_\_\_\_}

\medskip

\centerline{Show all of your work. An unjustified answer is not correct!}


\bigskip
 
{\bf 1a)}  
 Write  the system of equations below in matrix equation form   $A \cdot \vec{x} = \vec{b}$
 $$  \begin{array}{rcrcrcrcr} x & - & y   & +  & 3z & - & 2w &= & 0\\
  x & - &  3y   & +  & 5z  & +  & 2w   & = & 6\\
3x& -  &  5y & + &   7z & - & 6w & = & 2
\end{array}$$
  
\vskip1in

{\bf 1b)}  
 Use the method of Gaussian Elimination to find the  Row Echelon form of the augmented matrix   	obtained  from  part a). Be sure to show your steps!

\vskip3.5in

{\bf 1c)}  
 Find the Reduced Row Echelon form of the augmented matrix in part b) and 
give the solution(s) to the equations in part a).
 
 
\end{document}