document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156048>Question 156048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let H and E be 2 × 2 matrices. Let [ 4 3 ] and [ 2 0 ] be the first and second rows of A, respectively; [ 3 6 ] and [ 2 3 ] be the first and second rows of B, respectively. If D = H + E, then the d 11 element of D -1 is =\r<BR>\n" );
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document.write( "a. 2/9<BR>\n" );
document.write( "b. 0<BR>\n" );
document.write( "c. It does not exist<BR>\n" );
document.write( "d. You cannot find the inverse of a matrix </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114974 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=114974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You mention A and B but assume you mean H and E??<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=%28matrix%282%2C2%2C4%2C3%2C2%2C0%29%29 ALIGN=MIDDLE  ALT=\"H=%28matrix%282%2C2%2C4%2C3%2C2%2C0%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=%28matrix%282%2C2%2C3%2C6%2C2%2C3%29%29 ALIGN=MIDDLE  ALT=\"E=%28matrix%282%2C2%2C3%2C6%2C2%2C3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=H%2BE=%28matrix%282%2C2%2C7%2C9%2C4%2C3%29%29 ALIGN=MIDDLE  ALT=\"D=H%2BE=%28matrix%282%2C2%2C7%2C9%2C4%2C3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The inverse of a 2x2 matrix, A,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29 ALIGN=MIDDLE  ALT=\"A=%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is given by <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E%28-1%29=DELTA%2A%28matrix%282%2C2%2Cd%2C-b%2C-c%2Ca%29%29 ALIGN=MIDDLE  ALT=\"A%5E%28-1%29=DELTA%2A%28matrix%282%2C2%2Cd%2C-b%2C-c%2Ca%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DELTA=1%2F%28ad-bc%29 ALIGN=MIDDLE  ALT=\"DELTA=1%2F%28ad-bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "In this case,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DELTA=1%2F%287%2A3-9%2A4%29=-1%2F15 ALIGN=MIDDLE  ALT=\"DELTA=1%2F%287%2A3-9%2A4%29=-1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E%28-1%29=DELTA%2A%28matrix%282%2C2%2C3%2C-9%2C-4%2C7%29%29 ALIGN=MIDDLE  ALT=\"D%5E%28-1%29=DELTA%2A%28matrix%282%2C2%2C3%2C-9%2C-4%2C7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The [11] element would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F15%293=-1%2F5 ALIGN=MIDDLE  ALT=\"%28-1%2F15%293=-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's not a given choice. <BR>\n" );
document.write( "Please check the problem setup and re-post the question. </SPAN>\n" );
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