document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133440>Question 1133440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The inverse of A= 13 -4 is<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 #750658 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=750658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=matrix%282%2C2%2C+13+%2C-4+%2C3%2C1%29 ALIGN=MIDDLE  ALT=\"A=matrix%282%2C2%2C+13+%2C-4+%2C3%2C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Determinant is not zero, therefore inverse matrix exists:\r<BR>\n" );
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document.write( "Write the augmented matrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C4%2C13%2C-4%2C1%2C%090%2C%0D%0A3%2C%091%2C%090%2C%091%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C4%2C13%2C-4%2C1%2C%090%2C%0D%0A3%2C%091%2C%090%2C%091%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Make the pivot in the 1st column by dividing the 1st row by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13 ALIGN=MIDDLE  ALT=\"13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C4%2C1%2C-4%2F13%2C1%2F13%2C%090%2C%0D%0A3%2C%091%2C%090%2C%091%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C4%2C1%2C-4%2F13%2C1%2F13%2C%090%2C%0D%0A3%2C%091%2C%090%2C%091%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Eliminate the 1st column\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C4%2C1%2C%09-4%2F13%2C%091%2F13%2C%090%2C%0D%0A0%2C%0925%2F13%2C%09-3%2F13%2C%091%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Make the pivot in the 2nd column by dividing the 2nd row by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F13 ALIGN=MIDDLE  ALT=\"25%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C4%2C1%2C%09-4%2F13%2C%091%2F13%2C%090%2C%0D%0A0%2C%091%2C%09-3%2F25%2C%0913%2F2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Eliminate the 2nd column\r<BR>\n" );
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document.write( "There is the inverse matrix on the right\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C4%2C1%2C%090%2C%091%2F25%2C%094%2F25%2C%0D%0A0%2C%091%2C%09-3%2F25%2C%0913%2F25%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Result:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C2%2C1%2F25%2C%094%2F25%2C%0D%0A-3%2F25%2C%0913%2F25%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C2%2C1%2F25%2C%094%2F25%2C%0D%0A-3%2F25%2C%0913%2F25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F25 ALIGN=MIDDLE  ALT=\"1%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E-1=%281%2F25%29%28matrix%282%2C2%2C1%2C4%2C-3%2C13%29%29 ALIGN=MIDDLE  ALT=\"A%5E-1=%281%2F25%29%28matrix%282%2C2%2C1%2C4%2C-3%2C13%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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