document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35276>Question 35276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor the matrix A into a product of elementary matrices.\r<BR>\n" );
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document.write( "A= [1 1]<BR>\n" );
document.write( "   [2 1] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21475 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=21475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A= [1 1]<BR>\n" );
document.write( "[2 1]....<BR>\n" );
document.write( "METHOD...WRITE IT IN NORMAL FORM.......1,0<BR>\n" );
document.write( ".......................................0,1<BR>\n" );
document.write( "STEP.1<BR>\n" );
document.write( "USE....R21(-2)...THAT IS NEW ROW 2=OLD ROW 2 + (OLD ROW 1)*(-2)...WE GET <BR>\n" );
document.write( "1,1<BR>\n" );
document.write( "0,-1<BR>\n" );
document.write( "STEP.2<BR>\n" );
document.write( "USE R12(1).....THAT IS NEW ROW 1=OLD ROW 1 + OLD ROW 2 *1...WE GET..<BR>\n" );
document.write( "1,0<BR>\n" );
document.write( "0,-1<BR>\n" );
document.write( "STEP.3.<BR>\n" );
document.write( "USE C2(-1)....THATIS NEW COLUMN 2 =OLD COLUMN 2*(-1)<BR>\n" );
document.write( "1,0<BR>\n" );
document.write( "0,1\r<BR>\n" );
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document.write( "HENCE WE GOT<BR>\n" );
document.write( "I = R12(1)*R21(-2)*A*C2(-1)<BR>\n" );
document.write( "HENCE A = {R21(-2)}^(-1)*{R12(1)}^(-1)}*I*{C2(-1)}^(-1)<BR>\n" );
document.write( "  A = {R21(-2)}^(-1)*{R12(1)}^(-1)}*{C2(-1)}^(-1)<BR>\n" );
document.write( " A =  {R21(2)}*{R12(-1)}*{C2(-1)}<BR>\n" );
document.write( "NOW WE KNOW THAT <BR>\n" );
document.write( "I  =<BR>\n" );
document.write( "1,0<BR>\n" );
document.write( "0,1<BR>\n" );
document.write( "R21(2) =<BR>\n" );
document.write( "1,0<BR>\n" );
document.write( "2,1<BR>\n" );
document.write( "R12(-1) = <BR>\n" );
document.write( "1,-1<BR>\n" );
document.write( "0,1<BR>\n" );
document.write( "C2(-1) =<BR>\n" );
document.write( "1,0<BR>\n" );
document.write( "0,-1<BR>\n" );
document.write( "HENCE <BR>\n" );
document.write( "A = |1,0|*|1,-1|*|1,.0|<BR>\n" );
document.write( "..……|2,1|*|0,.1|*|0,-1|<BR>\n" );
document.write( "THUS A IS EXPRESSED AS PRODUCT OF ELEMENTARY MATRICES.YOU CAN MULTIPLY AND CHECK <BR>\n" );
document.write( "HOPE YOU ARE TAUGHT THE PROCEDURE AND YOU KNOW IT.OTHERWISE PLEASE COME BACK AND WE SHALL EXPLAIN </SPAN>\n" );
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