document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042632>Question 1042632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if A is a square matrix of order 3 such that |adjA|=36 then what is value of |A^T| </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657663 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=657663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have the fundamental relation\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2Aadj%28A%29+=+abs%28A%29I%5B3%5D ALIGN=MIDDLE  ALT=\"A%2Aadj%28A%29+=+abs%28A%29I%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \r<BR>\n" );
document.write( "\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28A%29 ALIGN=MIDDLE  ALT=\"abs%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the determinant of A.\r<BR>\n" );
document.write( "\n" );
document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28A%29%2A%28adj%28A%29%29+=+abs%28A%29%5E3 ALIGN=MIDDLE  ALT=\"abs%28A%29%2A%28adj%28A%29%29+=+abs%28A%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
document.write( "\n" );
document.write( "since A is of order 3.  (The determinant was applied on both sides.)\r<BR>\n" );
document.write( "\n" );
document.write( "===><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=adj%28A%29+=++abs%28A%29%5E2 ALIGN=MIDDLE  ALT=\"adj%28A%29+=++abs%28A%29%5E2\"   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%28A%29%5E2+=+36 ALIGN=MIDDLE  ALT=\"abs%28A%29%5E2+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" > ===> |A| = 6 or |A| = -6.\r<BR>\n" );
document.write( "\n" );
document.write( "===>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28A%5ET%29+=+6 ALIGN=MIDDLE  ALT=\"abs%28A%5ET%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28A%5ET%29+=+-6 ALIGN=MIDDLE  ALT=\"abs%28A%5ET%29+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28A%29+=+abs%28A%5ET%29 ALIGN=MIDDLE  ALT=\"abs%28A%29+=+abs%28A%5ET%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );