document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182334>Question 1182334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the vector space ℝ3<BR>\n" );
document.write( "and its subset 𝑆<BR>\n" );
document.write( "𝑆 = {(𝑎, 𝑏, 𝑐) ∶ 3𝑎 − 4𝑏 + 𝑐 = 0, 𝑎 + 2𝑏 − 𝑐 = 0, 𝑎, 𝑏, 𝑐 ∈ ℝ}<BR>\n" );
document.write( "Show that 𝑆 is a subset of ℝ3<BR>\n" );
document.write( "and also find dim 𝑆 .<BR>\n" );
document.write( "Determine whether or not the vectors (1, −3,2), (2,4,1) and (1,1,1) form a basis of ℝ3<BR>\n" );
document.write( "Are the following sets linearly independent or linearly dependent?<BR>\n" );
document.write( "𝐴 = {(3 − 𝑖, 2 + 2𝑖, 4), (2,2 + 4𝑖, 3), (1 − 𝑖, −2𝑖, 1)} ; 𝐵 = {(1,2,3), (1,3,2), (3,7,8)} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812310 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52780)</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=812310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( " </SPAN>\n" );
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