document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35190>Question 35190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The augmented matrices for three separate systems of linear equations in the variables<BR>\n" );
document.write( "x, y, z, and w, respectively, have been reduced to the row echelon forms given below.<BR>\n" );
document.write( "Find the solutions to each of the systems.<BR>\n" );
document.write( "A =<BR>\n" );
document.write( "1 0 1 &#8722;1 : 3<BR>\n" );
document.write( "0 1 3 1 : &#8722;1<BR>\n" );
document.write( "0 0 1 1 : 2<BR>\n" );
document.write( "0 0 0 0 : 1<BR>\n" );
document.write( ",<BR>\n" );
document.write( "B =<BR>\n" );
document.write( "1 0 0 1 : 3<BR>\n" );
document.write( "0 1 0 &#8722;2 : 1<BR>\n" );
document.write( "0 0 1 3 : &#8722;3<BR>\n" );
document.write( "0 0 0 0 : 0<BR>\n" );
document.write( ",<BR>\n" );
document.write( "C = <BR>\n" );
document.write( "1 1 2 &#8722;2 : 0<BR>\n" );
document.write( "0 1 &#8722;3 1 : 4<BR>\n" );
document.write( "0 0 0 1 : 3\r<BR>\n" );
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document.write( "So with respect to A and row four where 0=1 does that mean that this system can not be solved or can it? What is the rule here? </SPAN>\n" );
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document.write( "So with respect to A and row four where 0=1 does that mean that this system can not be solved or can it? What is the rule here?\r<BR>\n" );
document.write( "\n" );
document.write( "True; A does not have a solution since 0 cannot = 1\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );