document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549625>Question 549625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Inverse the matrix with row reduced echelon form\r<BR>\n" );
document.write( "\n" );
document.write( "1, 3, 4<BR>\n" );
document.write( "3, -1, 6<BR>\n" );
document.write( "4, 2, 1\r<BR>\n" );
document.write( "\n" );
document.write( "The answer is supposed to be \r<BR>\n" );
document.write( "\n" );
document.write( "-13/90, 1/18, 11/45<BR>\n" );
document.write( "7/30, -1/6, 1/15<BR>\n" );
document.write( "1/9, //9, -1/9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357924 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=357924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \begin{bmatrix}1&3&4&1&0&0\\3&-1&6&0&1&0\\4&2&1&0&0&1\end{bmatrix}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -3R1\ +\ R2\ \rightarrow\ R2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \begin{bmatrix}1&\ \ 3&\ 4&\ 1&0&0\\0&-10&-6&-3&1&0\\4&\ \ 2&\ 1&\ 0&0&1\end{bmatrix}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{R2}{-10}\ \rightarrow\ R2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\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}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -4R1\ +\ R3\ \rightarrow\ R3\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\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}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{R3}{-10}\ \rightarrow\ R3\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\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}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -R2\ +\ R3\ \rightarrow\ R3\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\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}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{10}{9}R3\ \rightarrow\ R3\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\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}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -\frac{6}{10}R3\ +\ R2\ \rightarrow\ R2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\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}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -3R2\ +\ R1\ \rightarrow\ R1\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\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}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -4R3\ +\ R1\ \rightarrow\ R1\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\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}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" 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><BR>\n" );
document.write( "</font><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );