document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102522>Question 102522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by using the Gauss-Jordan elimination method:<BR>\n" );
document.write( "x+y-z=2<BR>\n" );
document.write( "2x+3y-z=7<BR>\n" );
document.write( "3x-2y+z=9\r<BR>\n" );
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document.write( "I know that you have to convert them to <BR>\n" );
document.write( "1  0  0 | 2<BR>\n" );
document.write( "0  1  0 | 7<BR>\n" );
document.write( "0  0  1 | 9\r<BR>\n" );
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document.write( "I am just not clear on how to do this row by row.<BR>\n" );
document.write( "Any help would be greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74565 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=74565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the given matrix:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C2%2C3%2C-1%2C7%2C3%2C-2%2C1%2C9%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C2%2C3%2C-1%2C7%2C3%2C-2%2C1%2C9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " Add  -2*Row 1 to Row 2 to get the new Row 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C0%2C1%2C1%2C3%2C3%2C-2%2C1%2C9%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C0%2C1%2C1%2C3%2C3%2C-2%2C1%2C9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  -3*Row 1 to Row 3 to get the new Row 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C0%2C1%2C1%2C3%2C0%2C-5%2C4%2C3%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C0%2C1%2C1%2C3%2C0%2C-5%2C4%2C3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  5*Row 2 to Row 3 to get the new Row 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C0%2C1%2C1%2C3%2C0%2C0%2C9%2C18%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C0%2C1%2C1%2C3%2C0%2C0%2C9%2C18%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply Row 3 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to make the pivot 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C0%2C1%2C1%2C3%2C0%2C0%2C1%2C2%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C1%2C-1%2C2%2C0%2C1%2C1%2C3%2C0%2C0%2C1%2C2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Add  -1*Row 3 to Row 2 to get the new Row 2\r<BR>\n" );
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document.write( "Add  -1*Row 2 to Row 1 to get the new Row  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C0%2C0%2C3%2C0%2C1%2C0%2C1%2C0%2C0%2C1%2C2%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C0%2C0%2C3%2C0%2C1%2C0%2C1%2C0%2C0%2C1%2C2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The matrix is now in <font size=4><b>reduced row echelon form</b></font>\r<BR>\n" );
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document.write( "If you need more help with row reduction or Gaussian elimination, check out <a  rel=nofollow HREF=http://www.math.odu.edu/~bogacki/lat/> The Linear Algebra Toolkit</a>, and it will take you step-by-step through any Gaussian elimination problem. </SPAN>\n" );
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