document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198864>Question 1198864</A>: <I><SPAN STYLE=\"word-break: break-all;\">  For what value of k does the following system have infinitely many solutions?<BR>\n" );
document.write( "kx + y + z=0<BR>\n" );
document.write( "x + 2y + kz = 0<BR>\n" );
document.write( "-X+3z=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832523 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52787)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "This system has infinitely many solutions if and only if the determinant of the<BR>\n" );
document.write( "coefficient matrix is zero.\r<BR>\n" );
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document.write( "So, calculate the determinant of the matrix as a function of \"k\" and equate it to zero.\r<BR>\n" );
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document.write( "From this equation, find the value of \"k\".\r<BR>\n" );
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