document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84137>Question 84137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble finding the determinant of the matrix [-1 2] [1 3] with the 1 and 3 directly under the -1 and 2, with one set of [].  Any help is greatly appreciated.  \r<BR>\n" );
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document.write( "Thank you!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60572 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=60572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you have a general 2x2 matrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28%0D%0A++matrix%282%2C2%2C+%0D%0A+++a%2C+b%2C+%0D%0A++++c%2C+d+%29%0D%0A%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A%28%0D%0A++matrix%282%2C2%2C+%0D%0A+++a%2C+b%2C+%0D%0A++++c%2C+d+%29%0D%0A%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the determinant of that matrix is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ad-b%2Ac ALIGN=MIDDLE  ALT=\"a%2Ad-b%2Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So if we have this matrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28%0D%0A++matrix%282%2C2%2C+%0D%0A+++-1%2C+2%2C+%0D%0A++++1%2C+3+%29%0D%0A%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A%28%0D%0A++matrix%282%2C2%2C+%0D%0A+++-1%2C+2%2C+%0D%0A++++1%2C+3+%29%0D%0A%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the determinant is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2A3-2%2A1=-3-2=-5 ALIGN=MIDDLE  ALT=\"-1%2A3-2%2A1=-3-2=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the determinant is -5 </SPAN>\n" );
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