document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=929970>Question 929970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the following two vectors in R3<BR>\n" );
document.write( ": u=(1,2,3) and v=(2,3,1). Show whether it is possible to<BR>\n" );
document.write( "express the vector w=(2,4,5) as a linear combination of u and v. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564624 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=564624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a(1,2,3)+b(2,3,1)=(2,4,5)<BR>\n" );
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document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B2b=2 ALIGN=MIDDLE  ALT=\"a%2B2b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2B3b=4 ALIGN=MIDDLE  ALT=\"2a%2B3b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a%2Bb=5 ALIGN=MIDDLE  ALT=\"3a%2Bb=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There is no solution for these three equations in two unknowns. <BR>\n" );
document.write( "No, it is not possible to form w as a linear combination of u and v. </SPAN>\n" );
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