document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870839>Question 870839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me to understand this q step by step?<BR>\n" );
document.write( "find the x value of the 2x2 matrix that make the determinant zero?<BR>\n" );
document.write( "( Linear Algebra Q)\r<BR>\n" );
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document.write( "x-1 -2<BR>\n" );
document.write( "x-2 x-1 \r<BR>\n" );
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document.write( "also i'm unable to understand how to sketch a digraph? of matrices<BR>\n" );
document.write( "its so confusing \r<BR>\n" );
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document.write( "1) <BR>\n" );
document.write( "0 1 1 0 <BR>\n" );
document.write( "0 0 1 1 <BR>\n" );
document.write( "0 0 0 1 <BR>\n" );
document.write( "1 0 0 0 \r<BR>\n" );
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document.write( "2)<BR>\n" );
document.write( "0 1 1 0<BR>\n" );
document.write( "1 0 1 0<BR>\n" );
document.write( "1 1 0 0 \r<BR>\n" );
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document.write( "3) <BR>\n" );
document.write( "0 1 0 1 0<BR>\n" );
document.write( "1 0 1 0 0 <BR>\n" );
document.write( "0 1 0 1 0<BR>\n" );
document.write( "1 0 0 0 0 <BR>\n" );
document.write( "1 1 1 1 0\r<BR>\n" );
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document.write( "please help me through simipifying the answers so that i'd understand <BR>\n" );
document.write( "im using Linear algebra with application 5th edition by gareth williams<BR>\n" );
document.write( "the text book doesnt show any other examples of how to sketch.<BR>\n" );
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document.write( "     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525209 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=525209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) the determinant of a two by two matrix is (ad - bc)<BR>\n" );
document.write( "we have (x-1)^2 - (-2)(x-2) = x^2 -2x +1 +2x -4 = x^2 -3<BR>\n" );
document.write( "we want the determinant to be 0, so x^2 -3 = 0 and x = square root (3)<BR>\n" );
document.write( "b) these are adjacency matrices for diagraphs, to do a diagraph number the vertices of an adjacencey matrix from 1 to n.  Each element Aij is 1 if there is an arc from vertex i to j and Aij = 0 if there is no arc from i to j.<BR>\n" );
document.write( "With this info, you should be able to do the diagraph's for these adjacencey matrices.<BR>\n" );
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