document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=960889>Question 960889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A &B are square matrices of order 3 s.t | A |=-1,|B|=3.then the determinant |3AB|=-81 prove it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #587242 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=587242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> |3AB|=-81 prove it<BR>\n" );
document.write( "note that |AB| = |A| |B| and |kA| = k^n |A| where n is rank of matrix, therefore<BR>\n" );
document.write( "|3AB| = (3^3) |A| |B| = 27 * -1 * 3 = -81<BR>\n" );
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