document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19367>Question 19367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> show that the linear transformation T defined by T(x1,x2)=(-2x1+x2,3x1,3x2+1)is not linear.  Wow I am stuck.  I have I have x1=(-2,3,0)+x2=(1,0,3)+(0,0,1) but I have know idea where to go from here.  I know that to be linear T(u+v)=T(u)+T(v)and T(cu)=cT(u) but I don't know how to show it.  If someone could give me a hand I would REALLY appreciate it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10736 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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=10736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Given T(x1,x2)=(-2x1+x2,3x1,3x2+1)is not linear.  \r<BR>\n" );
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document.write( "  What was that x1=(-2,3,0)+x2=(1,0,3)+(0,0,1) ????\r<BR>\n" );
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document.write( " If T is linear then T(0,0) = (0,0,0) , Now what is T(0,0) ?\r<BR>\n" );
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document.write( " Kenny </SPAN>\n" );
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