document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56995>Question 56995</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395937787/algebrahomeworkh>algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> find the inverse of the matrix\r<BR>\n" );
document.write( "\n" );
document.write( "[-4 3]<BR>\n" );
document.write( "[-3 2] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38813 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=38813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the inverse of the matrix<BR>\n" );
document.write( "[-4 3]<BR>\n" );
document.write( "[-3 2]= A SAY<BR>\n" );
document.write( "DETERMINANT OF A =|A|=(-4)(2)-(3)(-3)=-8+9=1<BR>\n" );
document.write( "MATRIX OF MINORS = AM =<BR>\n" );
document.write( "|2,-3|<BR>\n" );
document.write( "|3,-4|<BR>\n" );
document.write( "MATRIX OF COFACTORS = ACF=<BR>\n" );
document.write( "|2,3|<BR>\n" );
document.write( "|-3,-4|<BR>\n" );
document.write( "TRANSPOSE OF ABOVE = (ACF)'=<BR>\n" );
document.write( "|2,-3|<BR>\n" );
document.write( "|3,-4|<BR>\n" );
document.write( "DIVIDE WITH |A| TO GET INVERSE<BR>\n" );
document.write( "INVERSE OF A =(1/1)(ACF)'=<BR>\n" );
document.write( "|2,-3|<BR>\n" );
document.write( "|3,-4|<BR>\n" );
document.write( "CHECK BY MULTIPLICATION .A*INVERSE A..WE GET <BR>\n" );
document.write( "|1,0|<BR>\n" );
document.write( "|0,1| </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );