document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892548>Question 892548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let A =<BR>\n" );
document.write( "a11 a21 a11 <BR>\n" );
document.write( "a12 a22 a12 <BR>\n" );
document.write( "a13 a23 a13<BR>\n" );
document.write( "where aij eR for each 1<=i;j<=3: Which of the following is/are true?<BR>\n" );
document.write( "A. det(A) = 0<BR>\n" );
document.write( "B. A is invertible<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541215 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I'm interpreting your question correctly, an arbitrary 3x3 matrix of reals does not necessarily have to have determinant 0, or be invertible. However, A is invertible iff its determinant is nonzero, so exactly one of A or B is true. </SPAN>\n" );
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