document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30539>Question 30539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example.  On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.\r<BR>\n" );
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document.write( "Solve for the column vector v=[x] in the following matrix equation given that  :<BR>\n" );
document.write( "                              [y] (Please note that the v has a curved arrow above it)\r<BR>\n" );
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document.write( "A=[2 1]<BR>\n" );
document.write( "  [1 -3]\r<BR>\n" );
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document.write( "Av=[4]<BR>\n" );
document.write( "   [-5]  (please note that the v has a curved arrow above it)<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 #17196 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=17196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for the column vector v=[x] in the following matrix equation given that :<BR>\n" );
document.write( "[y] (Please note that the v has a curved arrow above it) <BR>\n" );
document.write( "A=[2 1]<BR>\n" );
document.write( "[1 -3] <BR>\n" );
document.write( "Av=[4]<BR>\n" );
document.write( "[-5] (please note that the v has a curved arrow <BR>\n" );
document.write( "HOPE YOU MEAN (A)*(V)=(AV) AND GIVEN (A) AND (AV) YOU WANT TO KNOW (V)..ASSUMING THAT WE HAVE <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C2%2C2%2C1%2C1%2C-3%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C2%2C2%2C1%2C1%2C-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2Cx%2Cy%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2Cx%2Cy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C4%2C-5%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C4%2C-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "SO WE GET <BR>\n" );
document.write( "2X+Y=4...........I<BR>\n" );
document.write( "X-3Y=-5............II<BR>\n" );
document.write( "EQN.1- 2*EQN.II GIVES<BR>\n" );
document.write( "2X+Y-2X+6Y=4+10=14<BR>\n" );
document.write( "7Y = 14...Y = 2<BR>\n" );
document.write( "X=-5+3Y=-5+3*2=1...HENCE <BR>\n" );
document.write( "V=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C1%2C2%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C1%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );