document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954203>Question 954203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> t + 3u + v = 0 <BR>\n" );
document.write( "2t - 4u - v = 3<BR>\n" );
document.write( "3t + u + 2v = 1<BR>\n" );
document.write( "     u + v = -1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582868 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28matrix%284%2C3%2C1%2C3%2C1%2C2%2C-4%2C-1%2C3%2C1%2C2%2C0%2C1%2C1%29%29 ALIGN=MIDDLE  ALT=\"A=%28matrix%284%2C3%2C1%2C3%2C1%2C2%2C-4%2C-1%2C3%2C1%2C2%2C0%2C1%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the system is overdetermined you need to find the pseudoinverse of matrix A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bp%5D=%28A%5Bt%5D%2AA%29%5E%28-1%29%2AA%5Bt%5D ALIGN=MIDDLE  ALT=\"A%5Bp%5D=%28A%5Bt%5D%2AA%29%5E%28-1%29%2AA%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bt%5D%2AA=%28matrix%283%2C4%2C1%2C2%2C3%2C0%2C3%2C-4%2C1%2C1%2C1%2C-1%2C2%2C1%29%29%2A%28matrix%284%2C3%2C1%2C3%2C1%2C2%2C-4%2C-1%2C3%2C1%2C2%2C0%2C1%2C1%29%29=%28matrix%283%2C3%2C14%2C-2%2C5%2C-2%2C27%2C10%2C5%2C10%2C7%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%5Bt%5D%2AA%29%5E%28-1%29=%281%2F343%29%2A%28matrix%283%2C3%2C89%2C64%2C-155%2C64%2C73%2C-150%2C-155%2C-150%2C374%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and finally,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%5Bt%5D%2AA%29%5E%28-1%29%2AA%5Bt%5D=%281%2F343%29%2A%28matrix%283%2C3%2C89%2C64%2C-155%2C64%2C73%2C-150%2C-155%2C-150%2C374%29%29%2A%28matrix%283%2C4%2C1%2C2%2C3%2C0%2C3%2C-4%2C1%2C1%2C1%2C-1%2C2%2C1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bp%5D=%28A%5Bt%5D%2AA%29%5E%28-1%29%2AA%5Bt%5D=%281%2F49%29%2A%28matrix%284%2C3%2C18%2C11%2C3%2C-13%2C19%2C-2%2C-5%2C-11%2C-33%2C-12%2C19%2C32%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%281%2F49%29%2A%28matrix%284%2C3%2C18%2C11%2C3%2C-13%2C19%2C-2%2C-5%2C-11%2C-33%2C-12%2C19%2C32%29%29%2A%28matrix%284%2C1%2C0%2C3%2C1%2C-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C1%2Ct%2Cu%2Cv%29%29=%28matrix%283%2C1%2C1%2C0%2C-1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C1%2Ct%2Cu%2Cv%29%29=%28matrix%283%2C1%2C1%2C0%2C-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );