document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108979>Question 108979</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321159365/algebrahomeworkh>precalculas</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 2.	You are given the following system of linear equations: <BR>\n" );
document.write( "3x – 2y + z = 2<BR>\n" );
document.write( "-x + y = 3<BR>\n" );
document.write( "-2y + 6z = -1<BR>\n" );
document.write( "a.	Provide a coefficient matrix corresponding to the system of linear equations. <BR>\n" );
document.write( "b.	What is the transpose of this matrix? <BR>\n" );
document.write( "c.	Find the determinant for this matrix<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 #79459 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.)Coefficient Matrix<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+3%2C+%0D%0A+3%2C+-2%2C+1%2C%0D%0A+-1%2C+1%2C+0%2C%0D%0A+0%2C+-2%2C+6%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b.)Transpose of the Coefficient Matrix - Interchange rows and columns<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+3%2C+%0D%0A+3%2C+-1%2C+0%2C%0D%0A-2%2C+1%2C+-2%2C%0D%0A+1%2C+0%2C+6%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c.)For a 3x3 matrix, the determinant is given by<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+3%2C+3%2C+%0D%0A+a%2C+b%2C+c%2C%0D%0A+d%2C+e%2C+f%2C%0D%0A+g%2C+h%2C+i%0D%0A+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "the determinant is given by<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det=a%28ei-fh%29%2Bb%28fg-di%29%2Bc%28dh-eg%29 ALIGN=MIDDLE  ALT=\"det=a%28ei-fh%29%2Bb%28fg-di%29%2Bc%28dh-eg%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det=3%28%281%29%286%29-%280%29%28-2%29%29%2B%28-1%29%28%28-2%29%281%29-%28-2%29%286%29%29%2B0%28%28-2%29%280%29-%281%29%281%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det=3%286-0%29%2B%28-1%29%28-2%2B12%29%2B0 ALIGN=MIDDLE  ALT=\"det=3%286-0%29%2B%28-1%29%28-2%2B12%29%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det=18-10 ALIGN=MIDDLE  ALT=\"det=18-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det=8 ALIGN=MIDDLE  ALT=\"det=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );