{VERSION 6 1 "Windows XP" "6.1" } {USTYLETAB {PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Dash Item" -1 16 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 -1 3 3 1 0 1 0 2 2 -1 3 }{PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "MS Serif" 1 12 0 0 0 0 1 0 0 2 2 2 0 0 0 1 }1 1 0 -1 0 0 1 0 1 0 2 2 -1 1 }{PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 " MS Serif" 1 14 0 0 0 0 1 1 0 2 2 2 0 0 0 1 }1 1 0 -1 0 0 1 0 1 0 2 2 -1 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 12 255 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "A uthor" -1 19 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }3 1 0 -1 8 8 1 0 1 0 2 2 -1 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "MS Serif" 1 16 0 0 0 0 0 1 0 2 2 2 0 0 0 1 }1 1 0 -1 8 2 1 0 1 0 2 2 -1 1 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "MS Serif" 1 18 0 0 0 0 0 1 0 2 2 2 0 0 0 1 }1 1 0 -1 8 4 1 0 1 0 2 2 -1 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Line Printed Output" -1 6 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 0 0 1 1 2 2 2 0 0 0 1 }3 1 0 -1 12 12 1 0 1 0 2 2 -1 1 }{PSTYLE "Map le Output" -1 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "List Item" -1 14 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 -1 3 3 1 0 1 0 2 2 -1 5 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Ti mes" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 -1 3 3 1 0 1 0 2 2 -1 2 } {CSTYLE "Maple Input" -1 0 "Courier" 1 12 255 0 0 1 0 1 0 2 1 2 0 0 0 1 }{CSTYLE "2D Input" -1 19 "Times" 1 12 255 0 0 1 0 0 0 2 1 2 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "MS Serif" 1 12 0 128 128 1 0 0 1 2 2 2 0 0 0 1 }{CSTYLE "Text" -1 200 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 1 12 0 0 0 1 0 0 0 2 2 2 0 0 0 1 } {CSTYLE "Dictionary Hyperlink" -1 45 "MS Serif" 1 12 147 0 15 1 0 0 1 2 2 2 0 0 0 1 }{CSTYLE "Maple Input Placeholder" -1 201 "Courier" 1 12 200 0 200 1 0 1 0 2 1 2 0 0 0 1 }{CSTYLE "2D Output" -1 20 "Times" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }{CSTYLE "Page Number" -1 33 "Times " 1 10 0 0 0 0 0 0 2 2 2 2 0 0 0 1 }{PSTYLE "_pstyle1" -1 200 1 {CSTYLE "" -1 -1 "Courier" 1 12 255 0 0 1 0 1 0 2 1 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{CSTYLE "_cstyle1" -1 202 "Courier" 1 12 255 0 0 1 0 1 0 2 1 2 0 0 0 1 }{PSTYLE "_pstyle2" -1 201 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{CSTYLE "_cstyle2" -1 203 "Times" 1 24 0 0 0 1 2 1 1 2 2 2 0 0 0 1 }{CSTYLE "_cstyle3" -1 204 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{PSTYLE "_pstyle3" -1 202 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{CSTYLE "_cstyle4" -1 205 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle5" -1 206 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle6" -1 207 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{PSTYLE "_pstyle4" -1 203 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 } 3 3 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{CSTYLE "_cstyle7" -1 208 "Times" 1 12 0 0 255 1 0 0 0 2 2 2 0 0 0 1 }{CSTYLE "_cstyle8" -1 209 "Times" 1 12 0 0 255 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle9" -1 210 "Times" 1 12 0 0 255 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle10" -1 211 "Times" 1 12 51 51 255 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle11" -1 212 "Time s" 1 12 51 51 255 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle12" -1 213 "T imes" 1 12 0 153 51 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle13" -1 214 "Times" 1 12 0 0 255 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle14" -1 215 "Times" 1 12 0 0 255 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle15" -1 216 "Times" 1 12 51 51 255 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle1 6" -1 217 "Times" 1 12 51 51 255 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "_csty le17" -1 218 "Times" 1 12 0 153 51 1 2 1 2 2 2 2 0 0 0 1 }{PSTYLE "_ps tyle5" -1 204 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 } 0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{CSTYLE "_cstyle18" -1 219 "Times" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }} {SECT 0 {EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 1 "\n" }}}{EXCHG {PARA 201 "" 0 "" {TEXT 203 10 "Exercice 1" }{TEXT 204 0 "" }}}{EXCHG {PARA 202 "" 0 "" {TEXT 205 11 "question a)" }{TEXT 204 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 16 "taille:=proc(A) " }{TEXT 206 25 "supposons A de taille n*p" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 16 "\n local t,u,n,p ;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 25 "\n t:=[op(2,evalm(A))]; \+ " }{TEXT 206 18 "renvoi [1..n,1..p]" }{MPLTEXT 1 202 1 " " }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 33 "\n n:=op(2,t[1]);p:=op(2,t[2]); " } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 10 "\n [n,p];" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 5 "\nend:" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 3 "\n " }{MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {TEXT 207 11 "question b)" }{MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {TEXT 206 9 "En notant" }{MPLTEXT 1 202 32 " A=(a(ij));B=(b(ij));AB=(c (ij));" }{MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#/I\"AG 6\"-I\"aGF%6#I#ijGF%" }{TEXT 208 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#/I\"BG6\"-I\"bGF%6#I#ijGF%" }{TEXT 208 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#/I#ABG6\"-I\"cGF%6#I#ijGF%" }{TEXT 208 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {TEXT 206 4 "On a" }{MPLTEXT 1 202 31 " c(ij)=Sum( a(ik)*b(kj),k=1..p);" }{MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#/-I\"cG6\"6#I#ijGF&-I$SumG6$I*protectedGF,I(_syslibGF&6 $*&-I\"aGF&6#I#ikGF&\"\"\"-I\"bGF&6#I#kjGF&F4/I\"kGF&;F4I\"pGF&" } {TEXT 208 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 18 "produi t:=proc(A,B)" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 24 "\n local k,C,n, p,q,i,j,t;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 33 "\n t:=taille(A); \+ n:=t[1]; p:=t[2];" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 24 "\n t:=tail le(B); q:=t[2];" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 43 "\n if (t[1]< >p) then RETURN(IMPOSSIBLE); fi;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 22 "\n C:=array(1..n,1..q);" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 23 "\n for i from 1 to n do " }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 23 "\n for j from 1 to q do" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 39 "\n C[i,j]:=add(A[i,k]*B[k,j],k=1..p); " }{MPLTEXT 1 202 0 "" } {MPLTEXT 1 202 6 "\n od;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 4 "\no d;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 18 "\nRETURN(evalm(C));" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 5 "\nend:" }{MPLTEXT 1 202 0 "" } {MPLTEXT 1 202 1 "\n" }}}{EXCHG {PARA 200 "> " 0 "" {TEXT 207 11 "ques tion c)" }{MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 22 "MatPermut:=proc(i,j,n)" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 13 "\nlocal k,l,P;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 22 "\n P: =array(1..n,1..n);" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 23 "\n for k \+ from 1 to n do " }{TEXT 206 24 "k est l'indice de ligne " }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 24 "\n for l from 1 to n do " }{TEXT 206 25 "l est l'indice de colonne" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 16 " \n P[k,l]:=0; " }{TEXT 206 46 "tous les coefficients de la ligne k \+ sont nulls" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 6 "\n od;" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 14 "\n P[k,k]:=1; " }{TEXT 206 21 "sauf celui d'indice k" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 5 "\no d; " }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 3 "\n " }{TEXT 206 43 "On a a obtenu jusqu'ici la matrice identit\351" }{MPLTEXT 1 202 0 "" } {MPLTEXT 1 202 43 "\n P[i,i]:=0;P[j,j]:=0;P[i,j]:=1;P[j,i]:=1;" } {TEXT 206 33 " On modifie 4 de ses coefficients" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 10 "\nevalm(P);" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 7 "\nend: " }{MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 75 "P:=MatPermut(1,3,3);A:=array(1..3,1..3,[[a1,b1,c1], [a2,b2,c2],[a3,b3,c3]]);" }{MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I\"PG6\"-I'matrixG6$I*protectedGF)I(_syslibGF%6#7%7%\" \"!F.\"\"\"7%F.F/F.7%F/F.F." }{TEXT 208 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I\"AG6\"-I'matrixG6$I*protectedGF)I(_syslibGF%6#7%7%I# a1GF%I#b1GF%I#c1GF%7%I#a2GF%I#b2GF%I#c2GF%7%I#a3GF%I#b3GF%I#c3GF%" } {TEXT 208 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 17 "PA:=pr oduit(P,A);" }{MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#> I#PAG6\"-I'matrixG6$I*protectedGF)I(_syslibGF%6#7%7%I#a3GF%I#b3GF%I#c3 GF%7%I#a2GF%I#b2GF%I#c2GF%7%I#a1GF%I#b1GF%I#c1GF%" }{TEXT 208 0 "" }}} {EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 17 "AP:=produit(A,P);" } {MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I#APG6\"-I'mat rixG6$I*protectedGF)I(_syslibGF%6#7%7%I#c1GF%I#b1GF%I#a1GF%7%I#c2GF%I# b2GF%I#a2GF%7%I#c3GF%I#b3GF%I#a3GF%" }{TEXT 208 0 "" }}}{EXCHG {PARA 202 "" 0 "" {TEXT 205 12 "Conclusion: " }{TEXT 204 57 "le produit par \+ la matrice de permutation, correspond \340 la" }{TEXT 209 1 " " } {TEXT 210 22 "permutation des lignes" }{TEXT 204 1 " " }{TEXT 204 29 " lorqu'elle est le facteur de " }{TEXT 211 6 "gauche" }{TEXT 212 1 "," }{TEXT 204 7 " ou la " }{TEXT 213 24 "permutation des colonnes" } {TEXT 204 30 " lorqu'elle est le facteur de " }{TEXT 213 6 "droite" } {TEXT 204 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 0 "" }}} {EXCHG {PARA 200 "> " 0 "" {TEXT 207 11 "question d)" }{MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 21 "MatDilat:=proc(a ,j,n)" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 13 "\nlocal k,l,P;" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 22 "\n P:=array(1..n,1..n);" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 23 "\n for k from 1 to n do " } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 24 "\n for l from 1 to n do " } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 14 "\n P[k,l]:=0;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 6 "\n od;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 13 "\n P[k,k]:=1;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 4 "\nod;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 4 "\n " }{TEXT 206 43 "On a a \+ obtenu jusqu'ici la matrice identit\351" }{MPLTEXT 1 202 0 "" } {MPLTEXT 1 202 14 "\n P[j,j]:=a; " }{TEXT 206 26 " On modifie un coef ficient" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 10 "\nevalm(P);" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 5 "\nend:" }{MPLTEXT 1 202 0 "" }} }{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 20 "Di:=MatDilat(x,2,3);" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 19 "\nDA:=produit(Di,A);" } {MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I#DiG6\"-I'mat rixG6$I*protectedGF)I(_syslibGF%6#7%7%\"\"\"\"\"!F/7%F/I\"xGF%F/7%F/F/ F." }{TEXT 208 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I#DAG6\"-I'mat rixG6$I*protectedGF)I(_syslibGF%6#7%7%I#a1GF%I#b1GF%I#c1GF%7%*&I\"xGF% \"\"\"I#a2GF%F4*&F3F4I#b2GF%F4*&F3F4I#c2GF%F47%I#a3GF%I#b3GF%I#c3GF%" }{TEXT 208 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 18 "AD:=p roduit(A,Di);" }{MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6 #>I#ADG6\"-I'matrixG6$I*protectedGF)I(_syslibGF%6#7%7%I#a1GF%*&I#b1GF% \"\"\"I\"xGF%F1I#c1GF%7%I#a2GF%*&F2F1I#b2GF%F1I#c2GF%7%I#a3GF%*&I#b3GF %F1F2F1I#c3GF%" }{TEXT 208 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {TEXT 207 12 "Conclusion: " }{TEXT 206 56 "le produit par la matrice de dila tation, correspond \340 la" }{TEXT 214 1 " " }{TEXT 215 21 "dilatation des lignes" }{TEXT 206 1 " " }{TEXT 206 29 "lorqu'elle est le facteur de " }{TEXT 216 6 "gauche" }{TEXT 217 1 "," }{TEXT 206 7 " ou la " } {TEXT 218 23 "dilatation des colonnes" }{TEXT 206 30 " lorqu'elle est \+ le facteur de " }{TEXT 218 6 "droite" }{MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {TEXT 207 11 "question e)" }{MPLTEXT 1 202 0 "" }} }{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 27 "MatTransvect:=proc(i,a, j,n)" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 13 "\nlocal k,l,P;" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 22 "\n P:=array(1..n,1..n);" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 23 "\n for k from 1 to n do " } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 24 "\n for l from 1 to n do " } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 14 "\n P[k,l]:=0;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 6 "\n od;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 13 "\n P[k,k]:=1;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 4 "\nod;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 2 "\n " }{TEXT 206 43 "On a a ob tenu jusqu'ici la matrice identit\351" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 14 "\n P[i,j]:=a; " }{TEXT 206 26 " On modifie un coefficient" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 10 "\nevalm(P);" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 5 "\nend:" }{MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 25 "T:=MatTransvect(3,x,2,3);" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 18 "\nTA:=produit(T,A);" }{MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I\"TG6\"-I'matrixG6$I*protected GF)I(_syslibGF%6#7%7%\"\"\"\"\"!F/7%F/F.F/7%F/I\"xGF%F." }{TEXT 208 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I#TAG6\"-I'matrixG6$I*protected GF)I(_syslibGF%6#7%7%I#a1GF%I#b1GF%I#c1GF%7%I#a2GF%I#b2GF%I#c2GF%7%,&* &I\"xGF%\"\"\"F2F9F9I#a3GF%F9,&*&F8F9F3F9F9I#b3GF%F9,&*&F8F9F4F9F9I#c3 GF%F9" }{TEXT 208 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 17 "AT:=produit(A,T);" }{MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I#ATG6\"-I'matrixG6$I*protectedGF)I(_syslibGF%6#7%7%I# a1GF%,&I#b1GF%\"\"\"*&I#c1GF%F1I\"xGF%F1F1F37%I#a2GF%,&I#b2GF%F1*&F4F1 I#c2GF%F1F1F:7%I#a3GF%,&I#b3GF%F1*&I#c3GF%F1F4F1F1F@" }{TEXT 208 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {TEXT 207 12 "Conclusion: " }{TEXT 206 58 "le produit par la matrice de transvection, correspond \340 la" } {TEXT 214 1 " " }{TEXT 215 23 "transvection des lignes" }{TEXT 206 1 " " }{TEXT 206 29 "lorqu'elle est le facteur de " }{TEXT 216 6 "gauche" }{TEXT 217 1 "," }{TEXT 206 7 " ou la " }{TEXT 218 25 "transvection d es colonnes" }{TEXT 206 30 " lorqu'elle est le facteur de " }{TEXT 218 6 "droite" }{MPLTEXT 1 202 0 "" }}}{PARA 204 "" 0 "" {TEXT 219 0 " " }}{PARA 204 "" 0 "" {TEXT -1 0 "" }}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }