document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198415>Question 1198415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse matrix of :\r<BR>\n" );
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document.write( "1  0  -1<BR>\n" );
document.write( "1  1   3<BR>\n" );
document.write( "3  -2  1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832002 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=832002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the inverse matrix of :\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C3%2C%0D%0A1%2C+0+%2C-1%2C%0D%0A1%2C+1+%2C3%2C%0D%0A3%2C+-2%2C+1%29 ALIGN=MIDDLE  ALT=\"matrix%283%2C3%2C%0D%0A1%2C+0+%2C-1%2C%0D%0A1%2C+1+%2C3%2C%0D%0A3%2C+-2%2C+1%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:<BR>\n" );
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document.write( "Find the pivot in the 1st column in the 1st row\r<BR>\n" );
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document.write( "Subtract the 1st row from the 2nd row\r<BR>\n" );
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document.write( "Multiply the 1st row by 3\r<BR>\n" );
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document.write( "Subtract the 1st row from the 3rd row and restore it\r<BR>\n" );
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document.write( "Find the pivot in the 2nd column in the 2nd row\r<BR>\n" );
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document.write( "Multiply the 2nd row by -2\r<BR>\n" );
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document.write( "Subtract the 2nd row from the 3rd row and restore it\r<BR>\n" );
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document.write( "Make the pivot in the 3rd column by dividing the 3rd row by 12\r<BR>\n" );
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document.write( "Multiply the 3rd row by -1\r<BR>\n" );
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document.write( "Subtract the 3rd row from the 1st row and restore it\r<BR>\n" );
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document.write( "Multiply the 3rd row by 4\r<BR>\n" );
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document.write( "Subtract the 3rd row from the 2nd row and restore it\r<BR>\n" );
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document.write( "There is the inverse matrix on the right\r<BR>\n" );
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