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{SECT 0 {PARA 18 "" 0 "" {TEXT 256 21 "3 x 3 matrix solution" }}{SECT 
1 {PARA 3 "" 0 "" {TEXT -1 31 "Bring in linear algebra package" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}}}{SECT 1 
{PARA 3 "" 0 "" {TEXT -1 34 "Define 3x4 matrix (augmented form)" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "A := array( 1..3,1..4, [[1,3
,3,4],[5,6,7,8],[9,10,12,13]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
\"AG-%'MATRIXG6#7%7&\"\"\"\"\"$F+\"\"%7&\"\"&\"\"'\"\"(\"\")7&\"\"*\"#
5\"#7\"#8" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 23 "Normalize first ro
w ..." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "A0 := mulrow(A,1,1/
A[1,1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A0G-%'MATRIXG6#7%7&\"\"
\"\"\"$F+\"\"%7&\"\"&\"\"'\"\"(\"\")7&\"\"*\"#5\"#7\"#8" }}}}{SECT 1 
{PARA 3 "" 0 "" {TEXT -1 24 "Normalize second row ..." }}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 27 "A1:= mulrow(A0,2,1/A[2,1]);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%#A1G-%'MATRIXG6#7%7&\"\"\"\"\"$F+\"\"%7&F*#\"
\"'\"\"&#\"\"(F0#\"\")F07&\"\"*\"#5\"#7\"#8" }}}}{SECT 1 {PARA 3 "" 0 
"" {TEXT -1 23 "Normalize third row ..." }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 29 "A2 := mulrow(A1,3,1/A1[3,1]);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#A2G-%'MATRIXG6#7%7&\"\"\"\"\"$F+\"\"%7&F*#\"\"'\"\"&
#\"\"(F0#\"\")F07&F*#\"#5\"\"*#F,F+#\"#8F8" }}}}{SECT 1 {PARA 3 "" 0 "
" {TEXT -1 21 "Reduce second row ..." }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 25 "A3 := addrow (A2,1,2,-1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#A3G-%'MATRIXG6#7%7&\"\"\"\"\"$F+\"\"%7&\"\"!#!\"*\"
\"&#!\")F1#!#7F17&F*#\"#5\"\"*#F,F+#\"#8F9" }}}}{SECT 1 {PARA 3 "" 0 "
" {TEXT -1 20 "Reduce third row ..." }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 26 "A4 := addrow (A3, 1,3,-1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#A4G-%'MATRIXG6#7%7&\"\"\"\"\"$F+\"\"%7&\"\"!#!\"*\"
\"&#!\")F1#!#7F17&F.#!#<\"\"*#!\"&F+#!#BF9" }}}}{SECT 1 {PARA 3 "" 0 "
" {TEXT -1 24 "Normalize second row ..." }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 32 "A5 := mulrow (A4, 2, 1/A4[2,2]);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#A5G-%'MATRIXG6#7%7&\"\"\"\"\"$F+\"\"%7&\"\"!F*#\"\")
\"\"*#F,F+7&F.#!#<F1#!\"&F+#!#BF1" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT 
-1 23 "Normalize third row ..." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 32 "A6 := mulrow (A5, 3, 1/A5[3,2]);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%#A6G-%'MATRIXG6#7%7&\"\"\"\"\"$F+\"\"%7&\"\"!F*#\"\")\"\"*#F,F
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ce third row ..." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "A7 := ad
drow (A6, 2,3,-1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A7G-%'MATRIXG
6#7%7&\"\"\"\"\"$F+\"\"%7&\"\"!F*#\"\")\"\"*#F,F+7&F.F.#!\"\"\"$`\"#F*
\"#^" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 23 "Normalize third row ...
" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "A8 := mulrow (A7, 3, 1/A
7[3,3] );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A8G-%'MATRIXG6#7%7&\"
\"\"\"\"$F+\"\"%7&\"\"!F*#\"\")\"\"*#F,F+7&F.F.F*!\"$" }}}}{SECT 1 
{PARA 3 "" 0 "" {TEXT -1 21 "Reduce second row ..." }}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 32 "A9 := addrow (A8, 3,2,-A8[2,3]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#A9G-%'MATRIXG6#7%7&\"\"\"\"\"$F+\"\"%7&\"
\"!F*F.F,7&F.F.F*!\"$" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 20 "Reduce
 first row ..." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "A10 := add
row(A9, 3,1,-A9[1,3]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$A10G-%'MA
TRIXG6#7%7&\"\"\"\"\"$\"\"!\"#87&F,F*F,\"\"%7&F,F,F*!\"$" }}}}{SECT 1 
{PARA 3 "" 0 "" {TEXT -1 20 "Reduce first row ..." }}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 34 "A11 := addrow(A10, 2,1,-A10[1,2]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%$A11G-%'MATRIXG6#7%7&\"\"\"\"\"!F+F*7&F+F*
F+\"\"%7&F+F+F*!\"$" }}}}}{MARK "14 0 0" 1 }{VIEWOPTS 1 1 0 1 1 1803 }