document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979883>Question 979883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Compute the determinant:<BR>\n" );
document.write( "4 0 -1<BR>\n" );
document.write( "3 6 -2<BR>\n" );
document.write( "-2 5 1\r<BR>\n" );
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document.write( "Complete lost on this one.  Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601124 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Since the matrix contains zero in the first row, &nbsp;I will use &nbsp;<B><U>cofactoring the determinant along the first row</U></B>&nbsp; (see the lesson &nbsp;<A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Co-factoring-a-3x3-determinant.lesson>Co-factoring the determinant of a 3x3 matrix</A> in this site):\r<BR>\n" );
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document.write( "det <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C3%2C+4%2C0%2C-1%2C+3%2C6%2C-2%2C+-2%2C5%2C1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C3%2C+4%2C0%2C-1%2C+3%2C6%2C-2%2C+-2%2C5%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4*det<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+6%2C-2%2C+5%2C1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+6%2C-2%2C+5%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 0*det<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+3%2C-2%2C+-2%2C1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+3%2C-2%2C+-2%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + (-1)*det<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+3%2C6%2C+-2%2C5%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+3%2C6%2C+-2%2C5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 4*det<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+6%2C-2%2C+5%2C1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+6%2C-2%2C+5%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + (-1)*det<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+3%2C6%2C+-2%2C5%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+3%2C6%2C+-2%2C5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4*(6*1 - 5*(-2)) - (3*5 - (-2)*6) = 4*(6 - (-10)) - (15 - (-12)) = 4*(6 + 10) - (15 + 12) = 4*16 - 27 = 64 - 27 = 37.\r<BR>\n" );
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