document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31478>Question 31478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have no idea what this question is asking:\r<BR>\n" );
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document.write( "Let B={v1, v2, v3} be a set of linearly independent vectors in R^3. Provev that B is a basis for R^3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18147 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=18147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have no idea what this question is asking:\r<BR>\n" );
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document.write( "Let B={v1, v2, v3} be a set of linearly independent vectors in R^3. Provev that B is a basis for R^3.<BR>\n" );
document.write( "BASIS DEMANDS 2 THINGS<BR>\n" );
document.write( "1.THEY SHOULD BE LINEARLY INDEPENDENT VECTORS IN THE DIMENSION GIVEN.<BR>\n" );
document.write( "2.THEY SHOULD SPAN THE WHOLE SPACE UNDER CONSIDERATION.<BR>\n" );
document.write( "HERE WE ARE GIVEN THAT V1,V2,V3 ARE LINEARLY INDEPENDENT IN R^3 AND IN R^3 THERE CAN BE 3 AND ONLY 3 INDEPENDENT VECTORS FORMING THE BASIS.SO THE ANSWER FOLLOWS FROM THIS AS WE HAVE ONLY 3 VECTORS AND THEY ARE INDEPENDENT.SO THAT PROVES IT.IF YOU WANT TO KNOW HOW THERE WILL BE ONLY 3 INDEPENDENT VECTORS SPANNING R^3 PLEASE COME BACK AND WE SHALL EXPLAIN.  </SPAN>\n" );
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