document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=582463>Question 582463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. Thanks. <BR>\n" );
document.write( "Ax = b is a linear system. If Ax = b cannot be solved by using cramers rule then A is not a square matrix. Is this true or false?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372063 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=372063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"red\">False</font>. If the determinant of a square matrix is zero, then you cannot use cramers rule because cramers rule has you dividing by the determinant (and you cannot divide by zero).\r<BR>\n" );
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document.write( "So basically, the fact that you cannot use cramers rule doesn't automatically mean that A is not a square matrix. The matrix A could be square, but it could also have a determinant of zero (which means that you can't use cramers rule) </SPAN>\n" );
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