document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201959>Question 201959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help Needed;\r<BR>\n" );
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document.write( "Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent. \r<BR>\n" );
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document.write( "x - y + 3z = 11<BR>\n" );
document.write( "4x + z = 2<BR>\n" );
document.write( "x + 3y + z = -13<BR>\n" );
document.write( " A) Dependent<BR>\n" );
document.write( " B) Inconsistent<BR>\n" );
document.write( " C) Independent<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152257 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=152257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, construct the augmented matrix by writing the coefficients and right hand constants:\r<BR>\n" );
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document.write( "Now let's perform row reductions to determine whether the system is independent, dependent, or inconsistent (solution provided by the <a  rel=nofollow HREF=\"http://www.math.odu.edu/~bogacki/lat/\">Linear Algebra Toolkit</a>)\r<BR>\n" );
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document.write( "From the last matrix, we can see that there is a value of 1 in every pivot position. So this means that there is a unique solution, which means that the system is independent.\r<BR>\n" );
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document.write( "So the answer is C) Independent </SPAN>\n" );
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