{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "NOYAU et IMAGE" }}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 " A:=matrix(2,2,[-1/5,-2/5,3/5,6/5]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%\"AG-%'MATRIXG6#7$7$#!\"\"\"\"&#!\"#F,7$#\"\"$F,#\"\"'F," }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}{PARA 7 "" 1 "" {TEXT -1 32 "Warning, new definition for norm" }}{PARA 7 "" 1 "" {TEXT -1 33 "Warning, new definition for trace" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 11 "" 1 "" {XPPMATH 20 "6#<#- %'VECTORG6#7$!\"#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 " evalm(A*A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'MATRIXG6#7$7$#!\"\" \"\"&#!\"#F*7$#\"\"$F*#\"\"'F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "kernel(A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<#-%'VECTORG6#7$ !\"#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "colspace(A); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<#-%'VECTORG6#7$\"\"\"!\"$" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "PUISSANCES DE MATRICES" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "A:= (1/3)*matrix(3,3,[0,-2,-2,2,0,-1,2,1,0]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG,$-%'MATRIXG6#7%7%\"\"!!\"#F,7%\"\"#F+!\"\"7%F.\" \"\"F+#F1\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "seq(evalm (A^k),k=2..5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&-%'MATRIXG6#7%7%#!\" )\"\"*#!\"#F*#\"\"#F*7%F+#!\"&F*#!\"%F*7%F-F2F0-F$6#7%7%\"\"!#F.\"\"$F :7%#F,F;F9#\"\"\"F;7%F=#!\"\"F;F9-F$6#7%7%#\"\")F*F-F+7%F-#\"\"&F*#\" \"%F*7%F+FLFJ-F$6#7%7%F9F=F=7%F:F9FA7%F:F>F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "B:=matrix(2,2,[1,a,0,1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BG-%'MATRIXG6#7$7$\"\"\"%\"aG7$\"\"!F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "seq(evalm(B^k),k=2..5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&-%'MATRIXG6#7$7$\"\"\",$%\"aG\"\"#7$\"\"!F(- F$6#7$7$F(,$F*\"\"$F,-F$6#7$7$F(,$F*\"\"%F,-F$6#7$7$F(,$F*\"\"&F," }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 22 "J:=matrix(4,4,[1$16]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"JG-%'MATRIXG6#7&7&\"\"\"F*F*F*F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "seq(evalm(J^k),k=2..5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&-%'MATRIXG6#7&7&\"\"%F(F(F(F'F'F'-F$6#7&7&\" #;F-F-F-F,F,F,-F$6#7&7&\"#kF2F2F2F1F1F1-F$6#7&7&\"$c#F7F7F7F6F6F6" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "INVERSE DE MATRICE" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "A:=matrix(3,3,[1,0,a,1,a,-1,a,0,1]) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'MATRIXG6#7%7%\"\"\"\"\"! %\"aG7%F*F,!\"\"7%F,F+F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 " det(A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%\"aG\"\"\"*$F$\"\"$!\"\" " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 6 "MARKOV" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "P:=matrix(3,3,[0.8,0.3,0.2,0.1,0.2, 0.6,0.1,0.5,0.2]);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"PG-%'MATRIXG6#7%7%$\"\")!\"\"$\"\"$F,$\"\"#F ,7%$\"\"\"F,F/$\"\"'F,7%F2$\"\"&F,F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "X:=matrix(3,1,[1000,0,0]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"XG-%'MATRIXG6#7%7#\"%+57#\"\"!F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "evalm(P^7&*X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'MATRIXG6#7%7#$\"++S()Qc!\"(7#$\"++5pgAF*7#$\"++]V+@F *" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "evalm(P^(365)&*X);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#-%'MATRIXG6#7%7#$\"+'[qPd&!\"(7#$\"+n> 3&H#F*7#$\"+Qv9J@F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "I3:= matrix(3,3,[1,0,0,0,1,0,0,0,1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% #I3G-%'MATRIXG6#7%7%\"\"\"\"\"!F+7%F+F*F+7%F+F+F*" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 22 "O3:=matrix(3,1,[0$3]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#O3G-%'MATRIXG6#7%7#\"\"!F)F)" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 23 "X:=linsolve((P-I3),O3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"XG-%'MATRIXG6#7%7#&&%#_tG6#\"\"\"F-7#,$F*$\"+eqk " 0 "" {MPLTEXT 1 0 14 "eva lm(P^9&*X);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'MATRIXG6#7%7#,$&&%#_tG6#\"\"\"F,$\"+++++5!\"*7#,$F)$ \"+fqk " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "29 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }