document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=731134>Question 731134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the reduced row echelon?<BR>\n" );
document.write( "X  + y+  z=3<BR>\n" );
document.write( "2x - y + z=2<BR>\n" );
document.write( "4x – 2y +3z=5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447002 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=447002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your matrix is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++2%2C-1%2C+1%2C2%2C%0D%0A++4%2C-2+%2C+3%2C5%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Row operation<BR>\n" );
document.write( "1:  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++2%2C-1%2C+1%2C2%2C%0D%0A++4%2C-2+%2C+3%2C5%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ....add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the 1st row to the 2nd row => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C-3%2C+-1%2C-4%2C%0D%0A++4%2C-2+%2C+3%2C5%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "Row operation<BR>\n" );
document.write( "2:  \r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C-3%2C+-1%2C-4%2C%0D%0A++4%2C-2+%2C+3%2C5%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .........add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the 1st row to the 3rd row...=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C-3%2C+-1%2C-4%2C%0D%0A++0%2C-6+%2C+-1%2C-7%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Row operation<BR>\n" );
document.write( "3:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C-3%2C+-1%2C-4%2C%0D%0A++0%2C-6+%2C+-1%2C-7%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >..............multiply the 2nd row by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >...=>..<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C1%2C+1%2F3%2C4%2F3%2C%0D%0A++0%2C-6+%2C+-1%2C-7%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "Row operation<BR>\n" );
document.write( "4:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C1%2C+1%2F3%2C4%2F3%2C%0D%0A++0%2C-6+%2C+-1%2C-7%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >....add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the 2nd row to the 3rd row..=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C1%2C+1%2F3%2C4%2F3%2C%0D%0A++0%2C0+%2C+1%2C1%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Row operation<BR>\n" );
document.write( "5:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C1%2C+1%2F3%2C4%2F3%2C%0D%0A++0%2C0+%2C+1%2C1%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >...........add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the 3rd row to the 2nd row...=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C1%2C+0%2C1%2C%0D%0A++0%2C0+%2C+1%2C1%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Row operation<BR>\n" );
document.write( "6:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+1%2C3%2C%0D%0A+++0%2C1%2C+0%2C1%2C%0D%0A++0%2C0+%2C+1%2C1%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.....add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the 3rd row to the 1st row...>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+0%2C2%2C%0D%0A+++0%2C1%2C+0%2C1%2C%0D%0A++0%2C0+%2C+1%2C1%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Row operation<BR>\n" );
document.write( "7:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+1%2C+0%2C2%2C%0D%0A+++0%2C1%2C+0%2C1%2C%0D%0A++0%2C0+%2C+1%2C1%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >....add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the 2nd row to the 1st row...=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+4%2C+%0D%0A+++1%2C+0%2C+0%2C1%2C%0D%0A+++0%2C1%2C+0%2C1%2C%0D%0A++0%2C0+%2C+1%2C1%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );