Question 549625
<font face="Times New Roman" size="+2">


*[tex \LARGE \begin{bmatrix}1&3&4&1&0&0\\3&-1&6&0&1&0\\4&2&1&0&0&1\end{bmatrix}]


*[tex \LARGE -3R1\ +\ R2\ \rightarrow\ R2]


*[tex \LARGE \begin{bmatrix}1&\ \ 3&\ 4&\ 1&0&0\\0&-10&-6&-3&1&0\\4&\ \ 2&\ 1&\ 0&0&1\end{bmatrix}]


*[tex \LARGE \frac{R2}{-10}\ \rightarrow\ R2]


*[tex \LARGE \begin{bmatrix}1&3&\,4&\,1&0&0\\0&1&\frac{6}{10}&\frac{3}{10}&-\frac{1}{10}&0\\4&2&\,1&\,0&0&1\end{bmatrix}]


*[tex \LARGE -4R1\ +\ R3\ \rightarrow\ R3]


*[tex \LARGE \begin{bmatrix}1&\ \ 3&\ \ 4&\ \ 1&0&0\\0&\ \ 1&\ \ \frac{6}{10}&\ \ \frac{3}{10}&-\frac{1}{10}&0\\0&-10&-15&-4&0&1\end{bmatrix}]


*[tex \LARGE \frac{R3}{-10}\ \rightarrow\ R3]


*[tex \LARGE \begin{bmatrix}1&3&4&1&0&0\\0&1&\frac{6}{10}&\frac{3}{10}&-\frac{1}{10}&0\\0&1&\frac{3}{2}&\frac{4}{10}&0&-\frac{1}{10}\end{bmatrix}]


*[tex \LARGE -R2\ +\ R3\ \rightarrow\ R3]


*[tex \LARGE \begin{bmatrix}1&3&4&1&0&0\\0&1&\frac{6}{10}&\frac{3}{10}&-\frac{1}{10}&0\\0&0&\frac{9}{10}&\frac{1}{10}&\frac{1}{10}&-\frac{1}{10}\end{bmatrix}]


*[tex \LARGE \frac{10}{9}R3\ \rightarrow\ R3]


*[tex \LARGE \begin{bmatrix}1&3&4&1&\ \ 0&0\\0&1&\frac{6}{10}&\frac{3}{10}&-\frac{1}{10}&0\\0&0&1&\frac{1}{9}&\frac{1}{9}&-\frac{1}{9}\end{bmatrix}]



*[tex \LARGE -\frac{6}{10}R3\ +\ R2\ \rightarrow\ R2]


*[tex \LARGE \begin{bmatrix}1&3&4&1&0&0\\0&1&0&\frac{7}{30}&-\frac{1}{6}&\frac{1}{15}\\0&0&1&\frac{1}{9}&\frac{1}{9}&-\frac{1}{9}\end{bmatrix}]


*[tex \LARGE -3R2\ +\ R1\ \rightarrow\ R1]


*[tex \LARGE \begin{bmatrix}1&0&4&\frac{3}{10}&\frac{1}{2}&-\frac{1}{5}\\0&1&0&\frac{7}{30}&-\frac{1}{6}&\frac{1}{15}\\0&0&1&\frac{1}{9}&\frac{1}{9}&-\frac{1}{9}\end{bmatrix}]


*[tex \LARGE -4R3\ +\ R1\ \rightarrow\ R1]


*[tex \LARGE \begin{bmatrix}1&0&0&-\frac{13}{90}&\frac{1}{18}&\frac{11}{45}\\0&1&0&\frac{7}{30}&-\frac{1}{6}&\frac{1}{15}\\0&0&1&\frac{1}{9}&\frac{1}{9}&-\frac{1}{9}\end{bmatrix}]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>