document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353075>Question 353075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello<BR>\n" );
document.write( "I am having problems in solving the eigenvectors for the matrix: <BR>\n" );
document.write( " 3  0<BR>\n" );
document.write( " 8  -1<BR>\n" );
document.write( "I have already calculated the eigenvalues which are -1 and 3 but I can not get the eigenvector, because of the zero in the top right hand corner.\r<BR>\n" );
document.write( "\n" );
document.write( "Any help is much appreciated\r<BR>\n" );
document.write( "\n" );
document.write( "Iman </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252320 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=252320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Don't let the zero throw you.<BR>\n" );
document.write( "[A-cI]1=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C3-3%2C0%2C8%2C-1-3%29%29=%28matrix%282%2C2%2C0%2C0%2C8%2C-4%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C3-3%2C0%2C8%2C-1-3%29%29=%28matrix%282%2C2%2C0%2C0%2C8%2C-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First eigenvector,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=3 ALIGN=MIDDLE  ALT=\"c=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "[A-cI]1[x]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C0%2C0%2C8%2C-4%29%29%2A%28matrix%282%2C1%2Cx%5B1%5D%2Cx%5B2%5D%29%29=%28matrix%282%2C1%2C0%2C0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which leads to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2Ax%5B1%5D%2B0%2Ax%5B2%5D=0 ALIGN=MIDDLE  ALT=\"0%2Ax%5B1%5D%2B0%2Ax%5B2%5D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Ax%5B1%5D-4x%5B2%5D=0 ALIGN=MIDDLE  ALT=\"8%2Ax%5B1%5D-4x%5B2%5D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which leads to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=1 ALIGN=MIDDLE  ALT=\"x%5B1%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=2 ALIGN=MIDDLE  ALT=\"x%5B2%5D=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Second eigenvector,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-1 ALIGN=MIDDLE  ALT=\"c=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "[A-cI]2=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C3%2B1%2C0%2C8%2C-1%2B1%29%29=%28matrix%282%2C2%2C4%2C0%2C8%2C0%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C3%2B1%2C0%2C8%2C-1%2B1%29%29=%28matrix%282%2C2%2C4%2C0%2C8%2C0%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[A-cI]2[x]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C4%2C0%2C8%2C0%29%29%2A%28matrix%282%2C1%2Cx%5B1%5D%2Cx%5B2%5D%29%29=%28matrix%282%2C1%2C0%2C0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which leads to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ax%5B1%5D%2B0%2Ax%5B2%5D=0 ALIGN=MIDDLE  ALT=\"4%2Ax%5B1%5D%2B0%2Ax%5B2%5D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Ax%5B1%5D%2B0%2Ax%5B2%5D=0 ALIGN=MIDDLE  ALT=\"8%2Ax%5B1%5D%2B0%2Ax%5B2%5D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which leads to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=0 ALIGN=MIDDLE  ALT=\"x%5B1%5D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=1 ALIGN=MIDDLE  ALT=\"x%5B2%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ". </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );