document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174474>Question 1174474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let V be a vector space with dimension 11 and S be a subset of V which is linearly independent and has 10 vectors. Consider the following statements:<BR>\n" );
document.write( "(a) Every non-empty subset of S is linearly independent.<BR>\n" );
document.write( "(b) S is a basis of V.<BR>\n" );
document.write( "(c) There exists a subset S1 of S which is linearly dependent.<BR>\n" );
document.write( "(d) Dimension of span(S) <  dimension of V.<BR>\n" );
document.write( "Which of the above statements is/are False? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799906 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</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=799906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "(b)  &nbsp;&nbsp;is &nbsp;False.\r<BR>\n" );
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document.write( "The rest of statements &nbsp;a), &nbsp;c), &nbsp;and &nbsp;d) &nbsp;are &nbsp;&nbsp;TRUE.\r<BR>\n" );
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