document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135889>Question 135889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question is from my College Algebra Class Notes and Work Guide.  It deals with Cramer's Rule.\r<BR>\n" );
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document.write( "{-3  4  -4}<BR>\n" );
document.write( "{-3  K  -1}  = 58<BR>\n" );
document.write( "{1   4  -2}\r<BR>\n" );
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document.write( "The numbers in the braquet, are all in one large bracket and then they all equal 58.  I'm just not sure where to do with it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99552 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I suspect you are supposed to solve for K.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C3%2C-3%2C4%2C-4%2C-3%2CK%2C-1%2C1%2C4%2C-2%29%29=58 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C3%2C-3%2C4%2C-4%2C-3%2CK%2C-1%2C1%2C4%2C-2%29%29=58\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To calculate the value of a 3X3 determinant, create a 5X3 matrix by repeating the first two columns to the left of the original 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C5%2C-3%2C4%2C-4%2C-3%2C4%2C-3%2CK%2C-1%2C-3%2CK%2C1%2C4%2C-2%2C1%2C4%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C5%2C-3%2C4%2C-4%2C-3%2C4%2C-3%2CK%2C-1%2C-3%2CK%2C1%2C4%2C-2%2C1%2C4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next you perform the following calculation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%28%0D%0A%28matrix%283%2C5%2Cred%28a%29%2Cb%2Cc%2Ca%2Cb%2Cd%2Cred%28e%29%2Cf%2Cd%2Ce%2Cg%2Ch%2Cred%28i%29%2Cg%2Ch%29%29=red%28aei%29%2C%0D%0A%28matrix%283%2C5%2Ca%2Cred%28b%29%2Cc%2Ca%2Cb%2Cd%2Ce%2Cred%28f%29%2Cd%2Ce%2Cg%2Ch%2Ci%2Cred%28g%29%2Ch%29%29=aei%2Bred%28bfg%29%2C%0D%0A%28matrix%283%2C5%2Ca%2Cb%2Cred%28c%29%2Ca%2Cb%2Cd%2Ce%2Cf%2Cred%28d%29%2Ce%2Cg%2Ch%2Ci%2Cg%2Cred%28h%29%29%29=aei%2Bbfg%2Bred%28cdh%29%2C%28matrix%283%2C5%2Ca%2Cb%2Cred%28c%29%2Ca%2Cb%2Cd%2Cred%28e%29%2Cf%2Cd%2Ce%2Cred%28g%29%2Ch%2Ci%2Cg%2Ch%29%29=aei%2Bbfg%2Bcdh-%28red%28gec%29%29%2C%0D%0A%28matrix%283%2C5%2Ca%2Cb%2Cc%2Cred%28a%29%2Cb%2Cd%2Ce%2Cred%28f%29%2Cd%2Ce%2Cg%2Cred%28h%29%2Ci%2Cg%2Ch%29%29=aei%2Bbfg%2Bcdh-%28gec%2Bred%28hfa%29%29%2C%0D%0A%28matrix%283%2C5%2Ca%2Cb%2Cc%2Ca%2Cred%28b%29b%2Cd%2Ce%2Cf%2Cred%28d%29%2Ce%2Cg%2Ch%2Cred%28i%29%2Cg%2Ch%29%29=aei%2Bbfg%2Bcdh-%28gec%2Bhfa%2Bred%28idb%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The three complete 3-factor diagonal products down right summed minus the three complete 3-factor diagonal products up right summed.\r<BR>\n" );
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document.write( "In your case:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=aei%2Bbfg%2Bcdh-%28gec%2Bhfa%2Bidb%29=%28-3%2AK%2A-2%29%2B%284%2A-1%2A1%29%2B%28-4%2A-3%2A4%29-%281%2AK%2A-4%29-%284%2A-1%2A-3%29-%28-2%2A-3%2A4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can check the arithmetic yourself, but it reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10K%2B8 ALIGN=MIDDLE  ALT=\"10K%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but you were given that the determinant = 58, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10K%2B8=58 ALIGN=MIDDLE  ALT=\"10K%2B8=58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10K=50 ALIGN=MIDDLE  ALT=\"10K=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K=5 ALIGN=MIDDLE  ALT=\"K=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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