document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182497>Question 182497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a 4 by 4 system of equation that I'm trying to solve using a matrix.<BR>\n" );
document.write( "I'm very stuck on the row reduction. Please help.<BR>\n" );
document.write( "Here are my equations:<BR>\n" );
document.write( "a+b+2c+d=14<BR>\n" );
document.write( "2a-b-c+d=8<BR>\n" );
document.write( "a+2b+c-d=15<BR>\n" );
document.write( "3a-2b+3c+2d=24\r<BR>\n" );
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document.write( "and this is the matrix I have so far (sorry, I'm not sure how to put the brackets):<BR>\n" );
document.write( "[1  1  2  1] [14]<BR>\n" );
document.write( "[2 -1 -1  1] [8]<BR>\n" );
document.write( "[1  2  1 -1] [15]<BR>\n" );
document.write( "[3 -2  3  2] [24]\r<BR>\n" );
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document.write( "Please help me. This is due today. I've been working on it all night. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137041 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Check out this <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/rref%20solution.htm\">link</a> to see the solution which was generated by the <a  rel=nofollow HREF=\"http://www.math.odu.edu/~bogacki/lat/\">Linear Algebra Toolkit</a>\r<BR>\n" );
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document.write( "Notice how the right hand column of the last step has the values (from top to bottom): 7, 2, 3, -1\r<BR>\n" );
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document.write( "So this tells us that the solutions are\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=7 ALIGN=MIDDLE  ALT=\"a=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2 ALIGN=MIDDLE  ALT=\"b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=3 ALIGN=MIDDLE  ALT=\"c=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=-1 ALIGN=MIDDLE  ALT=\"d=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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