
Originally Posted by
RedBarchetta
How would I go about making a pdf using latex?
I have mathtype if that helps.
Try TeXnic Center. You may need to download the most recent version of MikiTex out there. [The good thing is, its FREE] 
I use it, and its great. This is a sample .pdf document created by TeXnic Center [its a part of my linear algebra assignment I have yet to complete
]
However, this was the LaTeX code I used to generate the pdf:
Code:
\documentclass[8pt]{article}
\usepackage{amsmath, amssymb, amsthm}
\pdfpagewidth 8.5in
\pdfpageheight 11in
\setlength\topmargin{-1.5in}
\setlength\headheight{-0.5in}
\setlength\headsep{0in}
\setlength\textheight{9.25in}
\setlength\textwidth{7in}
\setlength\oddsidemargin{-.35in}
\setlength\evensidemargin{-.75in}
\setlength\headheight{77pt}
\setlength\headsep{0in}
\begin{document}
\begin{center}
\small \textbf{MATH 243 : Linear Algebra I} \\
\small Chapter 2.1 \#1-7 odd, 11, 15
\end{center}
\begin{flushleft}
\begin{enumerate}
\item[1. ] Find a row echelon form of each of the given matrices. Record the row operations you perform, using the notation for elementary row operations.\vskip 0.25pc
\begin{enumerate}
\item $A=\left[\begin{array}{ccc}-1&2&-5\\2&-1&6\\2&-2&7\end{array}\right]$\vskip 0.25pc
$\begin{array}{c} \scriptsize_{2R_1+R_2\rightarrow R_2}\\
\left[\begin{array}{ccc}-1&2&-5\\0&3&-4\\2&-2&7\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{2R_1+R_3\rightarrow R_2}\\
\left[\begin{array}{ccc}-1&2&-5\\0&3&-4\\0&2&-3\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-R_1\rightarrow R_1}\\
\left[\begin{array}{ccc}1&-2&5\\0&3&-4\\0&2&-3\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{\frac{1}{3}R_2\rightarrow R_2}\\
\left[\begin{array}{ccc}1&-2&5\\0&1&-\frac{4}{3}\\0&2&-3\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-2R_2+R_3\rightarrow R_3}\\
\left[\begin{array}{ccc}1&-2&5\\0&1&-\frac{4}{3}\\0&0&-\frac{1}{3}\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-3R_3\rightarrow R_3}\\
\left[\begin{array}{ccc}1&-2&5\\0&1&-\frac{4}{3}\\0&0&1\end{array}\right]
\end{array}\blacktriangleleft$\vskip 1.5pc
\item $A=\left[\begin{array}{ccc}1&1&-1\\3&4&-1\\5&6&-3\\-2&-2&2\end{array}\right]$\vskip 0.25pc
$\begin{array}{c} \scriptsize_{2R_1+R_4\rightarrow R_4}\\
\left[\begin{array}{ccc}1&1&-1\\3&4&-1\\5&6&-3\\0&0&0\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-3R_1+R_2\rightarrow R_2}\\
\left[\begin{array}{ccc}1&1&-1\\0&1&2\\5&6&-3\\0&0&0\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-5R_1+R_3\rightarrow R_3}\\
\left[\begin{array}{ccc}1&1&-1\\0&1&2\\0&1&2\\0&0&0\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-R_2+R_3\rightarrow R_3}\\
\left[\begin{array}{ccc}1&1&-1\\0&1&2\\0&0&0\\0&0&0\end{array}\right]
\end{array}\blacktriangleleft$
\end{enumerate}\vskip 1.5pc
\item[3. ] Each of the given matrices is in row echelon form. Determine its reduced row echelon form. Record the row operations you perform, using the notation for elementary row operations.\vskip 0.5pc
\begin{enumerate}
\item $A=\left[\begin{array}{ccc}1&2&4\\0&1&-2\\0&0&1\end{array}\right]$\vskip 0.5pc
$\begin{array}{c} \scriptsize_{-2R_2+R_1\rightarrow R_1}\\
\left[\begin{array}{ccc}1&0&8\\0&1&-2\\0&0&1\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{2R_3+R_2\rightarrow R_2}\\
\left[\begin{array}{ccc}1&0&8\\0&1&0\\0&0&1\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-8R_3+R_1\rightarrow R_1}\\
\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]
\end{array}\blacktriangleleft$\vskip 1.5pc
\item $A=\left[\begin{array}{cccc}1&4&3&5\\0&0&1&-4\\0&0&0&1\\0&0&0&0\end{array}\right]$\vskip 0.5pc
$\begin{array}{c} \scriptsize_{-3R_2+R_1\rightarrow R_1}\\
\left[\begin{array}{cccc}1&4&0&17\\0&0&1&-4\\0&0&0&1\\0&0&0&0\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{4R_3+R_2\rightarrow R_2}\\
\left[\begin{array}{cccc}1&4&0&17\\0&0&1&0\\0&0&0&1\\0&0&0&0\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-17R_3+R_1\rightarrow R_1}\\
\left[\begin{array}{cccc}1&4&0&0\\0&0&1&0\\0&0&0&1\\0&0&0&0\end{array}\right]
\end{array}\blacktriangleleft$\vskip 4.5pc
\end{enumerate}
\item[5. ] Find the reduced row echelon form of each of the given matrices. Record the row operations you perform, using the notation for elementary row operations.\vskip 0.5pc
\begin{enumerate}
\item $A=\left[\begin{array}{ccc}-1&2&-5\\2&-1&6\\2&-2&7\end{array}\right]$\vskip 0.5pc
$\begin{array}{c} \scriptsize_{2R_1+R_2\rightarrow R_2}\\
\left[\begin{array}{ccc}-1&2&-5\\0&3&-4\\2&-2&7\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{2R_1+R_3\rightarrow R_3}\\
\left[\begin{array}{ccc}-1&2&-5\\0&3&-4\\0&2&-3\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-R_1\rightarrow R_1}\\
\left[\begin{array}{ccc}1&-2&5\\0&3&-4\\0&2&-3\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{\frac{1}{3}R_2\rightarrow R_2}\\
\left[\begin{array}{ccc}1&-2&5\\0&1&-\frac{4}{3}\\0&2&-3\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{2R_2+R_1\rightarrow R_1}\\
\left[\begin{array}{ccc}1&0&\frac{7}{3}\\0&1&-\frac{4}{3}\\0&2&-3\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-2R_2+R_3\rightarrow R_3}\\
\left[\begin{array}{ccc}1&0&\frac{7}{3}\\0&1&-\frac{4}{3}\\0&0&-\frac{1}{3}\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-3R_3\rightarrow R_3}\\
\left[\begin{array}{ccc}1&0&\frac{7}{3}\\0&1&-\frac{4}{3}\\0&0&1\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{\frac{4}{3}R_3+R_2\rightarrow R_2}\\
\left[\begin{array}{ccc}1&0&\frac{7}{3}\\0&1&0\\0&0&1\end{array}\right]
\end{array}\implies
\begin{array}{c} \scriptsize_{-\frac{7}{3}R_3+R_1\rightarrow R_1}\\
\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]
\end{array}\blacktriangleleft$\vskip 1.5pc
\end{enumerate}
\end{enumerate}
\end{flushleft}
\end{document} --Chris