document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043183>Question 1043183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1) Write the following sets of linear equation in augumented matrix form and solve for x1, x2, and x3 using Gauss Jordan Elimination method:\r<BR>\n" );
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document.write( "(a) 2X1 + X2 - X3 = 8<BR>\n" );
document.write( "   -3X1 - X2 + 2X3= -11<BR>\n" );
document.write( "   -2X1 + X2 + 2X3= -3\r<BR>\n" );
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document.write( "(b) 3X1 - X2 + 5X3 =-2<BR>\n" );
document.write( "    2X1 + 4X2 - X3 =3<BR>\n" );
document.write( "   -4X1 + X2 + 7X3 =10\r<BR>\n" );
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document.write( "(2) Using elementary row operations investigate the consistency of the following systems.\r<BR>\n" );
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document.write( " (a) 2X1 + 4X2 - 2X3 = 0<BR>\n" );
document.write( "     3X1 + 5X2 =1\r<BR>\n" );
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document.write( " (b)  X1 - X2 + 2X3 =4<BR>\n" );
document.write( "      X1 + X3 = 6<BR>\n" );
document.write( "     2X1 - 3X2 + 5X3 =4<BR>\n" );
document.write( "     3X1 + 2X2 - X3 =1\r<BR>\n" );
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document.write( "(3) consider the system<BR>\n" );
document.write( "     X1 + 2X2 + 3X3 = a<BR>\n" );
document.write( "    2X1 + 5X2 + (a+5)X3 = -2+2a<BR>\n" );
document.write( "        - X2  + (a^2 - a)X3 = a^2 - a<BR>\n" );
document.write( "find the values of a for which the system has <BR>\n" );
document.write( "(a) No solution (b) exactly one solution (c) Infinitely many solutions.\r<BR>\n" );
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document.write( "thank you.\r<BR>\n" );
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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 #659217 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=659217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  2x_1\ +\ x_2\ -\ x_3\ =\ 8\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  -3x_1\ -\ x_2\ +\ 2x_3\ =\ -11\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  -2x_1\ +\ x_2\ +\ 2x_3\ =\ -3\">\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=solver91311&illustration_name=GaussJordan.jpg\">\r<BR>\n" );
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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( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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