document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964191>Question 964191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use properties of determinants to find the value of the second determinant, if the value of the first is known?\r<BR>\n" );
document.write( "\n" );
document.write( "| x  y z  |<BR>\n" );
document.write( "| u  v w |<BR>\n" );
document.write( "| 1 -2 4 | = 54\r<BR>\n" );
document.write( "\n" );
document.write( "| 1 -2 4 |<BR>\n" );
document.write( "| u  v w |<BR>\n" );
document.write( "| z  y z |\r<BR>\n" );
document.write( "\n" );
document.write( "Having a really hard time with this one.  Can someone walk me through it?  Much appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589155 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=589155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28matrix%283%2C3%2C1%2C-2%2C4%2Cu%2Cv%2Cw%2Cz%2Cy%2Cz%29%29 ALIGN=MIDDLE  ALT=\"abs%28matrix%283%2C3%2C1%2C-2%2C4%2Cu%2Cv%2Cw%2Cz%2Cy%2Cz%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28matrix%283%2C3%2C1%2C-2%2C4%2Cu%2Cv%2Cw%2C+x%2Cy%2Cz%29%29 ALIGN=MIDDLE  ALT=\"abs%28matrix%283%2C3%2C1%2C-2%2C4%2Cu%2Cv%2Cw%2C+x%2Cy%2Cz%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?\r<BR>\n" );
document.write( "\n" );
document.write( "Maybe one of the properties of determinants that you were taught is that if you interchange 2 rows (or two columns) the determinant changes sign.<BR>\n" );
document.write( "So, if<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28matrix%283%2C3%2Cx%2Cy%2Cz%2Cu%2Cv%2Cw%2C1%2C-2%2C4%29%29=54 ALIGN=MIDDLE  ALT=\"abs%28matrix%283%2C3%2Cx%2Cy%2Cz%2Cu%2Cv%2Cw%2C1%2C-2%2C4%29%29=54\"   DISABLED_style= \"max-width:90%; height:auto;\" > , then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28matrix%283%2C3%2C1%2C-2%2C4%2Cu%2Cv%2Cw%2C+x%2Cy%2Cz%29%29=-54 ALIGN=MIDDLE  ALT=\"abs%28matrix%283%2C3%2C1%2C-2%2C4%2Cu%2Cv%2Cw%2C+x%2Cy%2Cz%29%29=-54\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );