document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086854>Question 1086854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let v1=[2,0,6] , v2=[-1,4,5] , v3=[1,-1,1].<BR>\n" );
document.write( "Find the value(s) of k for which b=[2,1,k] can be written as a linear combination of vectors v1, v2, and v3. \r<BR>\n" );
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document.write( "My attempt:<BR>\n" );
document.write( "c1v1 + c2v2 + c3v3 = b.\r<BR>\n" );
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document.write( "[[2  -1  1  | 2]<BR>\n" );
document.write( "[0  4  -1   | 1]<BR>\n" );
document.write( "[6   5   1   | k]]\r<BR>\n" );
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document.write( "I simplified this matrix down to:<BR>\n" );
document.write( "[[1  -1/2   1/2   | 1]<BR>\n" );
document.write( "[0    1      -1/4  | 1/4]<BR>\n" );
document.write( "[0    0     0     | k-8 ]]\r<BR>\n" );
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document.write( "I got stuck at this part. I was not sure what to do after this or whether I was approaching the problem properly. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701086 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52794)</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=701086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "From your result, it follows k = 8.\r<BR>\n" );
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document.write( "It can not be nothing else.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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