document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23052>Question 23052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the inverse of  <BR>\n" );
document.write( "-2  4  written as a single simplified matrix?<BR>\n" );
document.write( "-3  0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11493 by </B><A HREF=/tutors/aboutme.mpl?userid=eclecticist><B>eclecticist(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=eclecticist><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11493\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The inverse of any 2x2 matrix with entries\r<BR>\n" );
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document.write( "a b<BR>\n" );
document.write( "c d\r<BR>\n" );
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document.write( "is:\r<BR>\n" );
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document.write( "(1/determinant)* d -b<BR>\n" );
document.write( "                 -c a\r<BR>\n" );
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document.write( "First of all, put the entries in the correct positions:<BR>\n" );
document.write( "0 -4<BR>\n" );
document.write( "3 -2<BR>\n" );
document.write( "For this problem the determinant is -2 * 0 - 3 * -4 = 12<BR>\n" );
document.write( "the inverse is then:<BR>\n" );
document.write( "0/12 -4/12<BR>\n" );
document.write( "3/12 -2/12<BR>\n" );
document.write( "which simplifies to<BR>\n" );
document.write( "0 -1/3<BR>\n" );
document.write( "1/4 -1/6 </SPAN>\n" );
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