document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150529>Question 150529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if two rows of a determinant are interchanged, what is true of the resulting determinant? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110517 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20060)</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=110517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if two rows of a determinant are interchanged, what is true of the resulting determinant?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The sign is changed.  \r<BR>\n" );
document.write( "\n" );
document.write( "Illustration:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28matrix%282%2C2%2C2%2C-7%2C-4%2C5%29%29=2%2A5-%28-7%29%2A%28-4%29=10-28=-18 ALIGN=MIDDLE  ALT=\"abs%28matrix%282%2C2%2C2%2C-7%2C-4%2C5%29%29=2%2A5-%28-7%29%2A%28-4%29=10-28=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28matrix%282%2C2%2C-4%2C5%2C2%2C-7%29%29=%28-4%29%2A%28-7%29%2A%28-4%29=28-10=18 ALIGN=MIDDLE  ALT=\"abs%28matrix%282%2C2%2C-4%2C5%2C2%2C-7%29%29=%28-4%29%2A%28-7%29%2A%28-4%29=28-10=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "In general just for a 2x2 matrix.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29=ad-bc ALIGN=MIDDLE  ALT=\"abs%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29=ad-bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28matrix%282%2C2%2Cc%2Cd%2Ca%2Cb%29%29=cb-da=bc-ad=+-ad%2Bbc=-%28ad-bc%29+ ALIGN=MIDDLE  ALT=\"abs%28matrix%282%2C2%2Cc%2Cd%2Ca%2Cb%29%29=cb-da=bc-ad=+-ad%2Bbc=-%28ad-bc%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Edwin</pre> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );