document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829814>Question 829814</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by finding the reduced form of the augmented matrix (with the identity matrix on the left of the bar, if possible). Then answer a, b, and c below.\r<BR>\n" );
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document.write( "x+ 4y+ 3z = 5<BR>\n" );
document.write( "3x+ 11y+ 10z = 19<BR>\n" );
document.write( "x+ y+ 6z = 17 \r<BR>\n" );
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document.write( "a) The reduced form of the augmented matrix is:\r<BR>\n" );
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document.write( "b) How many solutions are there to this system?\r<BR>\n" );
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document.write( "c) If there is a unique solution, give its coordinates in the answer spaces below. \r<BR>\n" );
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document.write( "x=<BR>\n" );
document.write( "y=<BR>\n" );
document.write( "z= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500113 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x+ 4y+ 3z = 5<BR>\n" );
document.write( "3x+ 11y+ 10z = 19<BR>\n" );
document.write( "x+ y+ 6z = 17 <BR>\n" );
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document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "This linear system is singular. It has no solution<BR>\n" );
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document.write( "system matrix<BR>\n" );
document.write( "1 4 3<BR>\n" );
document.write( "3 11 10<BR>\n" );
document.write( "1 1 6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "determinant of system matrix = 0<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );