document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182333>Question 1182333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations:<BR>\n" );
document.write( "3𝑥 + 4𝑦 − 6𝑧 + 𝑤 = 7<BR>\n" );
document.write( "𝑥 − 2𝑦 + 3𝑧 − 2𝑤 = −1<BR>\n" );
document.write( "𝑥 − 3𝑦 + 4𝑧 − 𝑤 = −2<BR>\n" );
document.write( "5𝑥 − 𝑦 + 𝑧 − 2𝑤 = 4<BR>\n" );
document.write( "Find the rank of the matrix<BR>\n" );
document.write( "𝐴 = (<BR>\n" );
document.write( "−2 −1 −3 −1<BR>\n" );
document.write( "1 2 3 −1<BR>\n" );
document.write( "1 0 1 1<BR>\n" );
document.write( "0 1 1 −1<BR>\n" );
document.write( ")<BR>\n" );
document.write( "Verify that the matrix 𝐵 satisfies its own characteristic equation and hence find its inverse<BR>\n" );
document.write( "𝐵 = (<BR>\n" );
document.write( "12 −1 4<BR>\n" );
document.write( "−1 12 −1<BR>\n" );
document.write( "4 −1 12<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 #812311 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</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=812311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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