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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT 256 9 "Matrices " }}}{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" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "Exer
cice 9 " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "A:=matrix([[1,1],
[1,-1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7$7$\"
\"\"F*7$F*!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "rank(A);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"#" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 11 "inverse(A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'m
atrixG6#7$7$#\"\"\"\"\"#F(7$F(#!\"\"F*" }}}}{SECT 0 {PARA 3 "" 0 "" 
{TEXT -1 11 "Exercice 10" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "
B:=matrix([[1,1,1],[0,-1,1],[1,0,1]]);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%\"BG-%'matrixG6#7%7%\"\"\"F*F*7%\"\"!!\"\"F*7%F*F,F*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "rank(B);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "inv
_B:=inverse(B);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&inv_BG-%'matrixG
6#7%7%!\"\"F*\"\"#7%\"\"\"\"\"!F*7%F-F-F*" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 40 "proj:=matrix([[1,0,0],[0,1,0],[0,0,0]]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%%projG-%'matrixG6#7%7%\"\"\"\"\"!F+7%F+F*F
+7%F+F+F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "C'est la matrice de \+
la projection dans la base (v1,v2,v3)" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 25 "res:=evalm(B&*proj&*inv_B" }{TEXT -1 0 "" }{MPLTEXT 
1 0 2 ");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$resG-%'matrixG6#7%7%\"
\"!!\"\"\"\"\"7%F+F*F,7%F+F+\"\"#" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT 
-1 11 "Exercice 14" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "A:=mat
rix([[0,1,0],[0,0,1],[1,0,0]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
\"AG-%'matrixG6#7%7%\"\"!\"\"\"F*7%F*F*F+7%F+F*F*" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 8 "rank(A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "inverse(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 41 "B:=matrix([[1,0,
1],[2,-1,2],[-1,-1,-1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BG-%'
matrixG6#7%7%\"\"\"\"\"!F*7%\"\"#!\"\"F-7%F.F.F." }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 8 "rank(B);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"
\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "C:=matrix([[1,1,1,2]
,[1,1,1,2],[1,1,1,2]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"CG-%'ma
trixG6#7%7&\"\"\"F*F*\"\"#F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 8 "rank(C);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "E:=matrix([[-1,1,2,3,0],[1,2,3,4,1]
,[3,2,1,0,1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG-%'matrixG6#7
%7'!\"\"\"\"\"\"\"#\"\"$\"\"!7'F+F,F-\"\"%F+7'F-F,F+F.F+" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "rank(E);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "F:=
matrix([[0,1,1],[1,0,1],[1,1,0]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%\"FG-%'matrixG6#7%7%\"\"!\"\"\"F+7%F+F*F+7%F+F+F*" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 8 "rank(F);" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "inverse(F);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7%7%#!\"\"\"\"##\"\"\"F*F+
7%F+F(F+7%F+F+F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "G:=matr
ix([[1,a,b],[b,1,a],[a,b,1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"
GG-%'matrixG6#7%7%\"\"\"%\"aG%\"bG7%F,F*F+7%F+F,F*" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 8 "rank(G);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
\"\"$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "Attention, ce n'est pas \+
si simple ..." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "inverse(G)
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7%7%,$*&,&!\"\"\"\"\"
*&%\"aGF,%\"bGF,F,F,,*F,F,*(\"\"$F,F.F,F/F,F+*$)F/F2F,F,*$)F.F2F,F,F+F
+,$*&,&F.F,*$)F/\"\"#F,F+F,F0F+F+*&,&*$)F.F<F,F,F/F+F,F0F+7%F=F(F77%F7
F=F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 128 "Peut-\352tre a-t-on beso
in d'un d\351nominateur non nul, non ? On n'\351chappe pas \340 une \+
\351tude \340 la main, comme dans l'exemple suivant : " }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "H:=matrix([[a,b],[c,d]]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"HG-%'matrixG6#7$7$%\"aG%\"bG7$%\"cG%\"dG
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "rank(H);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
11 "inverse(H);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7$7$*&%
\"dG\"\"\",&*&F)F*%\"aGF*F**&%\"bGF*%\"cGF*!\"\"F1,$*&F/F*F+F1F17$,$*&
F0F*F+F1F1*&F-F*F+F1" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "Exercic
e 15" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 168 "mat_n:=proc(n)\nloc
al v,i,j;\nv:=array(1..n,1..n);\nfor i to n do \n   for j to n do \n  \+
    if i=j then v[i,j]:=0\n      else v[i,j]:=1 fi\n   od;\nod;\nRETUR
N(evalm(v));\nend;\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&mat_nGf*6#%
\"nG6%%\"vG%\"iG%\"jG6\"F,C%>8$-%&arrayG6$;\"\"\"9$F3?(8%F4F4F5%%trueG
?(8&F4F4F5F8@%/F7F:>&F/6$F7F:\"\"!>F>F4-%'RETURNG6#-%&evalmG6#F/F,F,F,
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "M_3:=mat_n(3);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$M_3G-%'matrixG6#7%7%\"\"!\"\"\"F+7%
F+F*F+7%F+F+F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "M_3i:=inv
erse(M_3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%M_3iG-%'matrixG6#7%7%
#!\"\"\"\"##\"\"\"F,F-7%F-F*F-7%F-F-F*" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 19 "multiply(M_3i,M_3);" }}{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 27 "M_4:=mat_n(4),inverse(M_4);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%$M_4G6$-%'matrixG6#7&7&\"\"!\"\"\"F,F,7&F,F+F,F,7&F
,F,F+F,7&F,F,F,F+-F'6#7&7&#!\"#\"\"$#F,F6F7F77&F7F4F7F77&F7F7F4F77&F7F
7F7F4" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 53 "On voit bien ce que doit
 \352tre le r\351sultat g\351n\351ral ..." }}}}{SECT 0 {PARA 3 "" 0 "
" {TEXT -1 11 "Exercice 16" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
39 "A:=matrix([[0,-1,1],[2,-0,1],[3,1,0]]);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"AG-%'matrixG6#7%7%\"\"!!\"\"\"\"\"7%\"\"#F*F,7%\"\"
$F,F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "inverse(A);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7%7%\"\"\"!\"\"F(7%!\"$\"
\"$!\"#7%F-F,F-" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "Exercice 23
" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "A:=matrix([[2,a,b],[0,2,
c],[0,0,2]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7%7
%\"\"#%\"aG%\"bG7%\"\"!F*%\"cG7%F.F.F*" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 23 "seq(evalm(A^n),n=2..5);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6&-%'matrixG6#7%7%\"\"%,$%\"aGF(,&%\"bGF(*&F*\"\"\"%\"cGF.F.7%\"\"
!F(,$F/F(7%F1F1F(-F$6#7%7%\"\"),$F*\"#7,&F,F:*(\"\"'F.F*F.F/F.F.7%F1F8
,$F/F:7%F1F1F8-F$6#7%7%\"#;,$F*\"#K,&F,FG*(\"#CF.F*F.F/F.F.7%F1FE,$F/F
G7%F1F1FE-F$6#7%7%FG,$F*\"#!),&F,FS*(FSF.F*F.F/F.F.7%F1FG,$F/FS7%F1F1F
G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "N:=matrix([[0,a,b],[0,
0,c],[0,0,0]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG-%'matrixG6#7
%7%\"\"!%\"aG%\"bG7%F*F*%\"cG7%F*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 22 "evalm(N^2),evalm(N^3);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6$-%'matrixG6#7%7%\"\"!F(*&%\"aG\"\"\"%\"cGF+7%F(F(F(F--F$6#7%F-F-
F-" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "Exercice 24" }}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "que_des_uns:=n-> matrix(n,n,(i,j)->
1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%,que_des_unsGf*6#%\"nG6\"6$%)
operatorG%&arrowGF(-%'matrixG6%9$F/\"\"\"F(F(F(" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 15 "que_des_uns(3);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#-%'matrixG6#7%7%\"\"\"F(F(F'F'" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 36 "seq(evalm(que_des_uns(2)^n),n=2..6);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6'-%'matrixG6#7$7$\"\"#F(F'-F$6#7$7$\"\"%F-F,-F$6#7$
7$\"\")F2F1-F$6#7$7$\"#;F7F6-F$6#7$7$\"#KF<F;" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 36 "seq(evalm(que_des_uns(3)^n),n=2..6);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6'-%'matrixG6#7%7%\"\"$F(F(F'F'-F$6#7%7%\"\"*F
-F-F,F,-F$6#7%7%\"#FF2F2F1F1-F$6#7%7%\"#\")F7F7F6F6-F$6#7%7%\"$V#F<F<F
;F;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 43 "On peut en d\351duire une \+
formule g\351n\351rale ..." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
71 "que_des_uns_triangle:=n-> matrix(n,n,(i,j)->if i<j+1 then 1 else 0
 fi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%5que_des_uns_triangleGf*6#%
\"nG6\"6$%)operatorG%&arrowGF(-%'matrixG6%9$F/f*6$%\"iG%\"jGF(F)F(@%2F
/,&9%\"\"\"F8F8F8\"\"!F(F(F(F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 24 "que_des_uns_triangle(3);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#-%'matrixG6#7%7%\"\"\"F(F(7%\"\"!F(F(7%F*F*F(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "seq(evalm(que_des_uns_triang
le(2)^n),n=2..6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6'-%'matrixG6#7$7$
\"\"\"\"\"#7$\"\"!F(-F$6#7$7$F(\"\"$F*-F$6#7$7$F(\"\"%F*-F$6#7$7$F(\"
\"&F*-F$6#7$7$F(\"\"'F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "
seq(evalm(que_des_uns_triangle(3)^n),n=2..6);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6'-%'matrixG6#7%7%\"\"\"\"\"#\"\"$7%\"\"!F(F)7%F,F,F(-F$6
#7%7%F(F*\"\"'7%F,F(F*F--F$6#7%7%F(\"\"%\"#57%F,F(F8F--F$6#7%7%F(\"\"&
\"#:7%F,F(F?F--F$6#7%7%F(F2\"#@7%F,F(F2F-" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 45 "seq(evalm(que_des_uns_triangle(4)^n),n=2..6);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6'-%'matrixG6#7&7&\"\"\"\"\"#\"\"$\"\"%7
&\"\"!F(F)F*7&F-F-F(F)7&F-F-F-F(-F$6#7&7&F(F*\"\"'\"#57&F-F(F*F47&F-F-
F(F*F/-F$6#7&7&F(F+F5\"#?7&F-F(F+F57&F-F-F(F+F/-F$6#7&7&F(\"\"&\"#:\"#
N7&F-F(FCFD7&F-F-F(FCF/-F$6#7&7&F(F4\"#@\"#c7&F-F(F4FL7&F-F-F(F4F/" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 9 "Formule ?" }}}}{SECT 0 {PARA 3 "" 
0 "" {TEXT -1 11 "Exercice 25" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 26 "M:=matrix([[2,3],[0,-1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
\"MG-%'matrixG6#7$7$\"\"#\"\"$7$\"\"!!\"\"" }}}{EXCHG {PARA 11 "" 1 "
" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "I_2:=matr
ix([[1,0],[0,1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$I_2G-%'matrix
G6#7$7$\"\"\"\"\"!7$F+F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 
"evalm(M^2-M-2*I_2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7$
7$\"\"!F(F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "seq(evalm(M^
n),n=2..10);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6+-%'matrixG6#7$7$\"\"%
\"\"$7$\"\"!\"\"\"-F$6#7$7$\"\")\"\"*7$F+!\"\"-F$6#7$7$\"#;\"#:F*-F$6#
7$7$\"#K\"#LF3-F$6#7$7$\"#k\"#jF*-F$6#7$7$\"$G\"\"$H\"F3-F$6#7$7$\"$c#
\"$b#F*-F$6#7$7$\"$7&\"$8&F3-F$6#7$7$\"%C5\"%B5F*" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 26 "N:=matrix([[2,-1],[1,0]]);" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>%\"NG-%'matrixG6#7$7$\"\"#!\"\"7$\"\"\"\"\"!" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "charpoly(N,lambda);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$)%'lambdaG\"\"#\"\"\"F(*&F'F(F&F(!
\"\"F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "evalm(N^2-2*N+I
_2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7$7$\"\"!F(F'" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "seq(evalm(N^n),n=2..10);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6+-%'matrixG6#7$7$\"\"$!\"#7$\"\"#!\"\"-
F$6#7$7$\"\"%!\"$F'-F$6#7$7$\"\"&!\"%F0-F$6#7$7$\"\"'!\"&F6-F$6#7$7$\"
\"(!\"'F<-F$6#7$7$\"\")!\"(FB-F$6#7$7$\"\"*!\")FH-F$6#7$7$\"#5!\"*FN-F
$6#7$7$\"#6!#5FT" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "Exercice 26
" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "B:=1/2*matrix([[3,-1,1],
[2,0,-2],[3,-3,1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BG,$-%'mat
rixG6#7%7%\"\"$!\"\"\"\"\"7%\"\"#\"\"!!\"#7%F+!\"$F-#F-F/" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "Pass:=matrix([[1,1,0],[1,0,1],[0,1,
1]]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%PassG-%'matrixG6#7%7%\"\"
\"F*\"\"!7%F*F+F*7%F+F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
24 "inv_pass:=inverse(Pass);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)inv
_passG-%'matrixG6#7%7%#\"\"\"\"\"#F*#!\"\"F,7%F*F-F*7%F-F*F*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "A:=evalm(inv_pass&*B&*Pass);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7%7%\"\"\"\"\"!F
+7%F+\"\"#F+7%F+F+!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "Evidem
ment, on ne fait pascomme \347a ..." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 26 "evalm(B&*vector([1,1,0]));" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#-%'vectorG6#7%\"\"\"F'\"\"!" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 27 "Ce qui signifie B.f1=f1 ..." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 26 "evalm(B&*vector([1,0,1]));" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#-%'vectorG6#7%\"\"#\"\"!F'" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 8 "B.f2=2f2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "eva
lm(B&*vector([0,1,1]));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'vectorG6
#7%\"\"!!\"\"F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 54 "B.f3=-f3 . On \+
obtient bien la m\352me matrice diagonale ." }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 39 "seq(evalm(Pass&*A^n&*inv_pass),n=2..5);" }}{PARA 
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