document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=376385>Question 376385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if we know that det(A) =2 where A = 0 1 0<BR>\n" );
document.write( "                                    1 0 1<BR>\n" );
document.write( "                                    1 1 0 <BR>\n" );
document.write( "USE THE PROPERTIES OF DETERMINANT ( And the info about det(A) given) to find the determinant of B =   0      ab^2    ac^2<BR>\n" );
document.write( "                       a^2b      0      bc^2<BR>\n" );
document.write( "                        a^2c     b^2c     0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267790 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=267790\">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=det%28%28matrix%283%2C3%2C0%2C1%2C1%2C1%2C0%2C1%2C1%2C1%2C0%29%29+%29=+2 ALIGN=MIDDLE  ALT=\"det%28%28matrix%283%2C3%2C0%2C1%2C1%2C1%2C0%2C1%2C1%2C1%2C0%29%29+%29=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We have to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det%28%28matrix%283%2C3%2C+0%2Cab%5E2%2Cac%5E2%2C+a%5E2b%2C0%2C+bc%5E2%2C+a%5E2c%2C+b%5E2c%2C+0%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the 1st column, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2 ALIGN=MIDDLE  ALT=\"b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the 2nd column, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2 ALIGN=MIDDLE  ALT=\"c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the 3rd column, to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2b%5E2c%5E2det%28%28matrix%283%2C3%2C0%2Ca%2Ca%2Cb%2C0%2Cb%2Cc%2Cc%2C0%29%29%29 ALIGN=MIDDLE  ALT=\"a%5E2b%5E2c%5E2det%28%28matrix%283%2C3%2C0%2Ca%2Ca%2Cb%2C0%2Cb%2Cc%2Cc%2C0%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then factor a from the 1st row, b from the 2nd row, and c from the 3rd row, to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3b%5E3c%5E3det%28%28matrix%283%2C3%2C0%2C1%2C1%2C1%2C0%2C1%2C1%2C1%2C0%29%29%29 ALIGN=MIDDLE  ALT=\"a%5E3b%5E3c%5E3det%28%28matrix%283%2C3%2C0%2C1%2C1%2C1%2C0%2C1%2C1%2C1%2C0%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Therefore the value of the determinant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%5E3b%5E3c%5E3 ALIGN=MIDDLE  ALT=\"2a%5E3b%5E3c%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );