document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063250>Question 1063250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A is a square matrix of order 3 such that |A|=5 find|A adj A|<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678360 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=678360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume you mean |A adj A| is |A adj(A)|<BR>\n" );
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document.write( "n = 3<BR>\n" );
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document.write( "Note that A adj(A) = |A|(I)<BR>\n" );
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document.write( "|A(adj A)| = |(|A| I)|<BR>\n" );
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document.write( "|A| |adj A| = |A|^n * |I|<BR>\n" );
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document.write( "Note that for constant k, |kA| = k^n |A| and <BR>\n" );
document.write( "|(|A|I)| = |A|^n |I| = |A|^n<BR>\n" );
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document.write( "|A| |adj A| = |A|^n<BR>\n" );
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document.write( "we know that |A| not equal to 0<BR>\n" );
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document.write( "|adj A| = |A|^(n-1)<BR>\n" );
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document.write( "|A adj(A)| = 5 * 5^(3-1) = 125<BR>\n" );
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