document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=441330>Question 441330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> compute the matrix product AB for:<BR>\n" );
document.write( " A = <BR>\n" );
document.write( "     [2  3  0<BR>\n" );
document.write( "     -4  2  1<BR>\n" );
document.write( "      3  0 -2]<BR>\n" );
document.write( "    <BR>\n" );
document.write( "B = <BR>\n" );
document.write( "    [-1  2  3<BR>\n" );
document.write( "     3  0 -2<BR>\n" );
document.write( "     0  4  0]<BR>\n" );
document.write( "                                  <BR>\n" );
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 #304636 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20055)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=304636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Rule for multiplying two 3x3 matrices:\r\n" );
document.write( "\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C3%2C+++++%0D%0Aa%2C++b%2C++c%2C%0D%0Ad%2C++e%2C++f%2C%0D%0Ag%2C++h%2C+i%29%29%28matrix%283%2C3%2C+%0D%0A+++++j%2C++k%2C++l%2C%0D%0A+++++m%2C++n%2C++p%2C%0D%0A+++++q%2C++r%2C++s%29%29=%0D%0A%0D%0A%28matrix%283%2C3%2C%0D%0A%0D%0Aaj%2Bbm%2Bcq%2C+ak%2Bbn%2Bcr%2C+al%2Bbp%2Bcs%2C%0D%0Adj%2Bem%2Bfq%2C+dk%2Ben%2Bfr%2C+dl%2Bep%2Bfs%2C%0D%0Agj%2Bhm%2Biq%2C+gk%2Bhn%2Bir%2C+gl%2Bhp%2Bis%29%29++%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "\r\n" );
document.write( "So, using the above rule:\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=%28matrix%283%2C3%2C+++++%0D%0A2%2C++3%2C++0%2C%0D%0A-4%2C++2%2C++1%2C%0D%0A3%2C++0%2C+-2%29%29%28matrix%283%2C3%2C+%0D%0A++++-1%2C++2%2C++3%2C%0D%0A+++++3%2C++0%2C+-2%2C%0D%0A+++++0%2C++4%2C++0%29%29=+%28matrix%283%2C3%2C%0D%0A%0D%0A+++2%28-1%29%2B3%2A3%2B0%2A0%2C+++++2%2A2%2B3%2A0%2B0%2A4%2C++++2%2A3%2B3%28-2%29%2B0%2A0%2C%0D%0A++-4%28-1%29%2B2%2A3%2B1%2A0%2C++++-4%2A2%2B2%2A0%2B1%2A4%2C+++-4%2A3%2B2%28-2%29%2B1%2A0%2C%0D%0A3%28-1%29%2B0%2A3%2B%28-2%29%2A0%2C++3%2A2%2B0%2A0%2B%28-2%294%2C++3%2A3%2B0%28-2%29%2B%28-2%29%2A0%29%29=%0D%0A%0D%0A%28matrix%283%2C3%2C%0D%0A7%2C4%2C0%2C%0D%0A10%2C-4%2C-16%2C%0D%0A-3%2C-2%2C9%29%29%0D%0A%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "                                  \r\n" );
document.write( "Edwin</PRE> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );