document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892172>Question 892172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> let V be a subspace and A and B are subsets of V.Determine which of the following are subspaces of V<BR>\n" );
document.write( "1)A U B<BR>\n" );
document.write( "2)A intersect B<BR>\n" );
document.write( "3)A' </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540323 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=540323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) The union contains all members of A and B both of which are in V. It is a subspace.<BR>\n" );
document.write( "2) The intersection contains all common members of A and B. By definition, both A and B have the {0} vector in common, at least, so the intersection always has at least one member. It is a subspace.<BR>\n" );
document.write( "3) The complement of A is all members not in A that belong to V. It is a subspace. </SPAN>\n" );
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