{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }} {PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected names norm and tra ce have been redefined and unprotected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 89 "A:=matrix(4,4,[a,b,c,_,5269/3600.,137/60.,55,73/15.,1 37/60.,\n5,225,10,55,225,20515,333]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7&7&%\"aG%\"bG%\"cG%\"_G7&$\"+66hj9!\"*$\"+LLL$G# F1\"#b$\"+nmmm[F17&F2\"\"&\"$D#\"#57&F4F9\"&:0#\"$L$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "A:=swaprow(A,4,2):A:=swapcol(A,1,3);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7&7&%\"cG%\"bG%\"aG% \"_G7&\"&:0#\"$D#\"#b\"$L$7&F0\"\"&$\"+LLL$G#!\"*\"#57&F1F5$\"+66hj9F7 $\"+nmmm[F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "A:=addrow(A, 2,3,-225/20515.);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6 #7&7&%\"cG%\"bG%\"aG%\"_G7&\"&:0#\"$D#\"#b\"$L$7&$\"\"\"!\"($\"+XMHKD! \"*$\"+vh6!o\"F9$\"+)H%zZjF97&F1$\"+LLL$G#F9$\"+66hj9F9$\"+nmmm[F9" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "A:=addrow(A,2,4,-55/20515.) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7&7&%\"cG%\"bG% \"aG%\"_G7&\"&:0#\"$D#\"#b\"$L$7&$\"\"\"!\"($\"+XMHKD!\"*$\"+vh6!o\"F9 $\"+)H%zZjF97&$F5!\")F:$\"+G!ehJ\"F9$\"+t_!R(RF9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "A:=addrow(A,3,4,-A[4,2]/A[3,2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7&7&%\"cG%\"bG%\"aG%\"_G7&\"& :0#\"$D#\"#b\"$L$7&$\"\"\"!\"($\"+XMHKD!\"*$\"+vh6!o\"F9$\"+)H%zZjF97& $!+%)4wMc!#<$\"\"!FC$\"*.6W,#F9$!*@XqP#F9" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 17 "a:=A[4,4]/A[4,3];" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%\"aG$!+a*>+=\"!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "b :=(A[3,4]-A[3,3]*a)/A[3,2];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG$ \"+#G_'*G$!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "c:=(A[2,4 ]-A[2,3]*a-A[2,2]*b)/A[2,1];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG $!+IARo;!#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "evalm(matrix (3,3,[5269/3600.,137/60.,55,137/60.,\n5,225,55,225,20515]) &* [a,b,c]) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'vectorG6#7%$\"+mmmm[!\"*$\"+++ ++5!\")$\"+******HL!\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "r estart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" } }{PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected names norm and tr ace have been redefined and unprotected\n" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 56 "A:=matrix(3,6,[0,3,-4,1,0,0,3,2,-1,0,1,0,4,-2,1,0,0 ,1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7%7(\"\"!\" \"$!\"%\"\"\"F*F*7(F+\"\"#!\"\"F*F-F*7(\"\"%!\"#F-F*F*F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "A:=swaprow(A,1,2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7%7(\"\"$\"\"#!\"\"\"\"!\"\"\"F- 7(F-F*!\"%F.F-F-7(\"\"%!\"#F.F-F-F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "A:=mulrow(A,1,1/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%\"AG-%'matrixG6#7%7(\"\"\"#\"\"#\"\"$#!\"\"F-\"\"!#F*F-F07(F0F-!\" %F*F0F07(\"\"%!\"#F*F0F0F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "A:=addrow(A,1,3,-4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'m atrixG6#7%7(\"\"\"#\"\"#\"\"$#!\"\"F-\"\"!#F*F-F07(F0F-!\"%F*F0F07(F0# !#9F-#\"\"(F-F0#F3F-F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "A :=mulrow(A,2,1/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG 6#7%7(\"\"\"#\"\"#\"\"$#!\"\"F-\"\"!#F*F-F07(F0F*#!\"%F-F1F0F07(F0#!#9 F-#\"\"(F-F0F3F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A:=addr ow(A,2,1,-2/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7 %7(\"\"\"\"\"!#\"\"&\"\"*#!\"#F.#F*\"\"$F+7(F+F*#!\"%F2F1F+F+7(F+#!#9F 2#\"\"(F2F+F4F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A:=addro w(A,2,3,14/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7% 7(\"\"\"\"\"!#\"\"&\"\"*#!\"#F.#F*\"\"$F+7(F+F*#!\"%F2F1F+F+7(F+F+#!#N F.#\"#9F.F4F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "A:=mulrow( A,3,-9/35);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7%7( \"\"\"\"\"!#\"\"&\"\"*#!\"#F.#F*\"\"$F+7(F+F*#!\"%F2F1F+F+7(F+F+F*#F0F -#\"#7\"#N#!\"*F:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "A:=add row(A,3,1,-5/9);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6# 7%7(\"\"\"\"\"!F+F+#F*\"\"(F,7(F+F*#!\"%\"\"$#F*F1F+F+7(F+F+F*#!\"#\" \"&#\"#7\"#N#!\"*F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "A:=a ddrow(A,3,2,4/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6 #7%7(\"\"\"\"\"!F+F+#F*\"\"(F,7(F+F*F+#!\"\"\"\"&#\"#;\"#N#!#7F47(F+F+ F*#!\"#F1#\"#7F4#!\"*F4" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 " B:=submatrix(A,1..3,4..6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BG-% 'matrixG6#7%7%\"\"!#\"\"\"\"\"(F+7%#!\"\"\"\"&#\"#;\"#N#!#7F47%#!\"#F1 #\"#7F4#!\"*F4" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "A:=matrix (3,3,[0,3,-4,3,2,-1,4,-2,1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"A G-%'matrixG6#7%7%\"\"!\"\"$!\"%7%F+\"\"#!\"\"7%\"\"%!\"#\"\"\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "evalm(A &* B);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#-%'matrixG6#7%7%\"\"\"\"\"!F)7%F)F(F)7%F)F)F(" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "evalm(B &* A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7%7%\"\"\"\"\"!F)7%F)F(F)7%F)F)F (" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected names norm and trace have been red efined and unprotected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "A:=matrix(5,8,[1,2,3,4,_,_,_,_,-53,85,49,78,1,0,0,0,\n17,72,-99,- 85,0,1,0,0,-86,30,80,72,0,0,1,0,66,-29,-91,-53,0,0,0,1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"\"\"\"#\"\"$\"\"%%\"_ GF.F.F.7*!#`\"#&)\"#\\\"#yF*\"\"!F4F47*\"#<\"#s!#**!#&)F4F*F4F47*!#') \"#I\"#!)F7F4F4F*F47*\"#m!#H!#\"*F0F4F4F4F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "A:=swaprow(A,2,3):A:=swapcol(A,1,3);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"\"\"\"%%\"_G F.F.F.7*!#**\"#s\"# " 0 " " {MPLTEXT 1 0 22 "A:=mulrow(A,2,-1/99.);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"\"\"\"%%\"_GF.F.F.7 *$\"+**********!#5$!+sssssF2$!+<<<< " 0 "" {MPLTEXT 1 0 21 "A:=addrow (A,2,3,-49);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7* \"\"$\"\"#\"\"\"\"\"%%\"_GF.F.F.7*$\"+**********!#5$!+sssssF2$!+<<<< " 0 "" {MPLTEXT 1 0 21 "A:=a ddrow(A,2,4,-80);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6 #7'7*\"\"$\"\"#\"\"\"\"\"%%\"_GF.F.F.7*$\"+**********!#5$!+sssssF2$!+< <<< " 0 "" {MPLTEXT 1 0 20 "A:=addrow(A,2,5,91);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"\"\"\"%%\"_G F.F.F.7*$\"+**********!#5$!+sssssF2$!+<<<<>>>*F2F9FI" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "A:=mulrow(A,3,1/A[3,2]);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"\" \"\"%%\"_GF.F.F.7*$\"+**********!#5$!+sssssF2$!+<<<<> >>*F2F9FX" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "A:=addrow(A,3, 2,-A[2,2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7* \"\"$\"\"#\"\"\"\"\"%%\"_GF.F.F.7*$\"+**********!#5$\"\"!F4$!+\\340WF2 $\"+)[!>v5!\"*$\"+BgjGg!#7$!+X(Rr6(F>>>*F2FinFU" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "A:=addrow(A,3,4,-A[4,2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% \"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"\"\"\"%%\"_GF.F.F.7*$\"+**********!# 5$\"\"!F4$!+\\340WF2$\"+)[!>v5!\"*$\"+BgjGg!#7$!+X(Rr6(F>>>*F2FinFU" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "A:=addrow(A,3,5,-A[5,2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"\"\"\"%%\"_GF.F.F.7 *$\"+**********!#5$\"\"!F4$!+\\340WF2$\"+)[!>v5!\"*$\"+BgjGg!#7$!+X(Rr 6(F:FL$\"+.W%zM&FL$\"+&Rx**)yF2$!+k)ynG&F2F3FU" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "A:=swaprow(A,4,5):A:=swapcol (A,4,3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\" $\"\"#\"\"%\"\"\"%\"_GF.F.F.7*$\"+**********!#5$\"\"!F4$\"+)[!>v5!\"*$ !+\\340WF2$\"+BgjGg!#7$!+X(Rr6(F:F M$\"+&Rx**)yF2$!+k)ynG&F2F3$F-F47*$F-FMF3$!+.!=]H#FM$!+y1;nRFM$!+y6s4t F2$\"+v_'GY%F2FVF3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "A:=mu lrow(A,4,1/A[4,3]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrix G6#7'7*\"\"$\"\"#\"\"%\"\"\"%\"_GF.F.F.7*$\"+**********!#5$\"\"!F4$\"+ )[!>v5!\"*$!+\\340WF2$\"+BgjGg!#7$!+X(Rr6(FF3F@$\"+**** QTGF2$\"+()*G`Z\"!#6$!+Zzi&))*F " 0 "" {MPLTEXT 1 0 25 "A:=addrow(A,4,2,-A[2,3]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"%\"\"\"%\"_GF.F.F.7 *$\"+++++5!\"*$\"\"!F4F3$!+\\j7gu!#5$!+24'R$)*!#7$\"+&R$z6NF:F3$!+>VZ5 ?!#67*F3F0$\"+eOJyHF7$!+2)))ep$F7$\"+KXP*G)F:$\"+Q<#G5%F:F3F37*$!+It() p=!#>F3F0$\"+****QTGF7$\"+()*G`Z\"F?$!+Zzi&))*F:F3$\"+It()p=F?7*$F-!\" )F3$!+.!=]H#FW$!+y1;nRFW$!+y6s4tF7$\"+v_'GY%F7$F-F4F3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "A:=addrow(A,4,3,-A[3,3]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"%\"\"\"% \"_GF.F.F.7*$\"+++++5!\"*$\"\"!F4F3$!+\\j7gu!#5$!+24'R$)*!#7$\"+&R$z6N F:F3$!+>VZ5?!#67*$\"+\">\"3pb!#?F0F3$!+rQ9UXF7$\"+g?Q&*QF:$\"+6=2ZqF:F 3$!+\">\"3pbF:7*$!+It()p=!#>F3F0$\"+****QTGF7$\"+()*G`Z\"F?$!+Zzi&))*F :F3$\"+It()p=F?7*$F-!\")F3$!+.!=]H#FZ$!+y1;nRFZ$!+y6s4tF7$\"+v_'GY%F7$ F-F4F3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "A:=addrow(A,4,5,- A[5,3]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\" $\"\"#\"\"%\"\"\"%\"_GF.F.F.7*$\"+++++5!\"*$\"\"!F4F3$!+\\j7gu!#5$!+24 'R$)*!#7$\"+&R$z6NF:F3$!+>VZ5?!#67*$\"+\">\"3pb!#?F0F3$!+rQ9UXF7$\"+g? Q&*QF:$\"+6=2ZqF:F3$!+\">\"3pbF:7*$!+It()p=!#>F3F0$\"+****QTGF7$\"+()* G`Z\"F?$!+Zzi&))*F:F3$\"+It()p=F?7*$\"+kyf3d!#=F3F3$!+el0:L!\")$!+#f9Q #RF7$\"+ke4%>#F7$F-F4$\"+O@S\"H%F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "A:=mulrow(A,5,1/A[5,4]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"%\"\"\"%\"_GF.F.F.7 *$\"+++++5!\"*$\"\"!F4F3$!+\\j7gu!#5$!+24'R$)*!#7$\"+&R$z6NF:F3$!+>VZ5 ?!#67*$\"+\">\"3pb!#?F0F3$!+rQ9UXF7$\"+g?Q&*QF:$\"+6=2ZqF:F3$!+\">\"3p bF:7*$!+It()p=!#>F3F0$\"+****QTGF7$\"+()*G`Z\"F?$!+Zzi&))*F:F3$\"+It() p=F?7*$!+e7-A " 0 "" {MPLTEXT 1 0 25 "A:=addrow(A,5,2,-A[ 2,4]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$ \"\"#\"\"%\"\"\"%\"_GF.F.F.7*$\"+**********!#5$\"\"!F4F3F3$!+0'**Q+\"! #7$!+@!\\dU\"F7$!+%zw.D#!#6$!+(\\,i(HF<7*$\"+\">\"3pb!#?$\"+++++5!\"*F 3$!+rQ9UXF2$\"+g?Q&*QF7$\"+6=2ZqF7F3$!+\">\"3pbF77*$!+It()p=!#>F3FC$\" +****QTGF2$\"+()*G`Z\"F<$!+Zzi&))*F7F3$\"+It()p=F<7*$!+e7-A " 0 "" {MPLTEXT 1 0 25 "A:=addrow(A,5,3,-A[3,4]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7'7*\"\"$\"\"#\"\"%\"\"\"%\"_GF.F. F.7*$\"+**********!#5$\"\"!F4F3F3$!+0'**Q+\"!#7$!+@!\\dU\"F7$!+%zw.D#! #6$!+(\\,i(HF<7*$!+7re_A!#?$\"+++++5!\"*F3F3$\"+k#>;F*F7$\"+.(=3/%F7$! +qd:q8F<$!+fq*[9\"F<7*$!+It()p=!#>F3FC$\"+****QTGF2$\"+()*G`Z\"F<$!+Zz i&))*F7F3$\"+It()p=F<7*$!+e7-A " 0 "" {MPLTEXT 1 0 25 "A: =addrow(A,5,4,-A[4,4]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'ma trixG6#7'7*\"\"$\"\"#\"\"%\"\"\"%\"_GF.F.F.7*$\"+**********!#5$\"\"!F4 F3F3$!+0'**Q+\"!#7$!+@!\\dU\"F7$!+%zw.D#!#6$!+(\\,i(HF<7*$!+7re_A!#?$ \"+++++5!\"*F3F3$\"+k#>;F*F7$\"+.(=3/%F7$!+qd:q8F<$!+fq*[9\"F<7*$!+KRe !Q\"!#>F3FCF3$\"+EB,R6F<$!+k>.0!)F7$\"+!)f;r&)F7$\"+I0qPAF<7*$!+e7-A " 0 "" {MPLTEXT 1 0 45 "A:=augment([3,2,4,1],submatr ix(A,2..5,5..8));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6 #7&7'\"\"$$!+0'**Q+\"!#7$!+@!\\dU\"F-$!+%zw.D#!#6$!+(\\,i(HF27'\"\"#$ \"+k#>;F*F-$\"+.(=3/%F-$!+qd:q8F2$!+fq*[9\"F27'\"\"%$\"+EB,R6F2$!+k>.0 !)F-$\"+!)f;r&)F-$\"+I0qPAF27'\"\"\"$\"+$GMO=\"F2$!+oud=mF-$!+'yRl,$F2 $!+G&=XH\"F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "A:=swaprow( A,1,4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7&7'\"\" \"$\"+$GMO=\"!#6$!+oud=m!#7$!+'yRl,$F-$!+G&=XH\"F-7'\"\"#$\"+k#>;F*F0$ \"+.(=3/%F0$!+qd:q8F-$!+fq*[9\"F-7'\"\"%$\"+EB,R6F-$!+k>.0!)F0$\"+!)f; r&)F0$\"+I0qPAF-7'\"\"$$!+0'**Q+\"F0$!+@!\\dU\"F0$!+%zw.D#F-$!+(\\,i(H F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "A:=swaprow(A,3,4);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7&7'\"\"\"$\"+$GMO= \"!#6$!+oud=m!#7$!+'yRl,$F-$!+G&=XH\"F-7'\"\"#$\"+k#>;F*F0$\"+.(=3/%F0 $!+qd:q8F-$!+fq*[9\"F-7'\"\"$$!+0'**Q+\"F0$!+@!\\dU\"F0$!+%zw.D#F-$!+( \\,i(HF-7'\"\"%$\"+EB,R6F-$!+k>.0!)F0$\"+!)f;r&)F0$\"+I0qPAF-" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "B:=submatrix(A,1..4,2..5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BG-%'matrixG6#7&7&$\"+$GMO=\"!#6 $!+oud=m!#7$!+'yRl,$F,$!+G&=XH\"F,7&$\"+k#>;F*F/$\"+.(=3/%F/$!+qd:q8F, $!+fq*[9\"F,7&$!+0'**Q+\"F/$!+@!\\dU\"F/$!+%zw.D#F,$!+(\\,i(HF,7&$\"+E B,R6F,$!+k>.0!)F/$\"+!)f;r&)F/$\"+I0qPAF," }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 72 "A:=matrix(4,4,[-53,85,49,78,17,72,-99,-85,-86,30,80 ,72,66,-29,-91,-53]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matr ixG6#7&7&!#`\"#&)\"#\\\"#y7&\"#<\"#s!#**!#&)7&!#')\"#I\"#!)F07&\"#m!#H !#\"*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "evalm(A &* B);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7&7&$\"+,+++5!\"*$\"\"%! #5F+$!\"\"F*7&$!#6F-$\"+'*********F-$!\"$F-$\"\"!F87&$\"#7F-$\"\"#F-F( F77&$!\"'F-F5$\"\"\"F-$\"+++++5F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "evalm(B &* A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%' matrixG6#7&7&$\"+++++5!\"*$\"\"'!#5$!\"\"F*$!\"#F-7&$\"\"\"F-F($\"\"!F 6$!\"$F-7&$F4F*F5$\"**********F*F.7&F5$\"#9F-F5$\"+,+++5F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "54 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }