document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940080>Question 940080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> w={(x,y): x=3y=0} , v=R square <BR>\n" );
document.write( "is w a subspace of v? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572918 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=572918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember the definition of a subspace.<BR>\n" );
document.write( "Contains the zero vector of R2.<BR>\n" );
document.write( "If U and V are in w, U+V is in w.<BR>\n" );
document.write( "For each scalar a, if U is in w, aU is in w.<BR>\n" );
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document.write( "w fails the first criteria, since w is a single point (3,0), the zero vector is not in w. <BR>\n" );
document.write( "So no w is not a subspace of R2.<BR>\n" );
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