document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176197>Question 1176197</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?\r<BR>\n" );
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document.write( "Select one:<BR>\n" );
document.write( "1) 3x+y−z=1           x+3y+z=1           x−y+3z=0\r<BR>\n" );
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document.write( "2) x+3y+z=1           3x+y−z=1           x−y+3z=0\r<BR>\n" );
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document.write( "3) x+3y+z=1           x−y+3z=0           3x+y−z=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #802519 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=802519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "In mathematics, a square matrix is said to be diagonally dominant if, for every row of the matrix, <BR>\n" );
document.write( "the magnitude (absolute value) of the diagonal entry in a row is larger than or equal to the sum <BR>\n" );
document.write( "of the magnitudes (absolute values) of all the other (non-diagonal) entries in that row.\r<BR>\n" );
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document.write( "See this Wikipedia article\r<BR>\n" );
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document.write( "https://en.wikipedia.org/wiki/Diagonally_dominant_matrix\r<BR>\n" );
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document.write( "Having this definition, provided to you, YOU do the rest.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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