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{TEXT -1 80 "Warning, the protected names norm and trace have been red
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{XPPMATH 20 "6#>%\"EG-%#&*G6$%\"AG-%'RTABLEG6%\"'[(G*-%'MATRIXG6#7%7%
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalm(E);" }}{PARA 11 "" 1 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "M:=Matrix([[1,2],[3,4]]);" }
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{MPLTEXT 1 0 21 "V:=Matrix([[4],[4]]);" }}{PARA 11 "" 1 "" {XPPMATH 
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "B:=M.V;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"BG-%'RTABLEG6%\"(%yC;-%'MATRIXG6#7$7#\"#77#\"#G%'Ma
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "LinearSolve(M,B);" }}{PARA 
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{PARA 0 "" 0 "" {TEXT -1 2 "2." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "M:=Matrix([[1,y,y*y],[x,x*y,
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "N:=M;" }}{PARA 11 "" 1 "" {XPPMATH 
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{MPLTEXT 1 0 25 "M:=Matrix([[b,2],[3,4]]);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"MG-%'RTABLEG6%\"'?@))-%'MATRIXG6#7$7$%\"bG\"\"#7$\"
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11 "" 1 "" {XPPMATH 20 "6#K%'matrixG6#7$7$\"\"\"\"\"$7$\"\"#\"\"%Q)ppr
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{PARA 0 "" 0 "" {TEXT -1 20 "4. (TP9: 06/04/2004)" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "A:=Matrix([
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" {XPPMATH 20 "6#>%\"AG-%'RTABLEG6%\"(Gy)R-%'MATRIXG6#7&7&\"\"\"\"\"#
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "B:=addrow(A,1,3,1);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%\"BGK%'matrixG6#7&7&\"\"\"\"\"#\"\"$\"\"%7&F-F,F
+F*7&\"\"!F0F0F07&!\"%!\"$!\"#F3Q)pprint126\"" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 19 "C:=addrow(B,2,4,1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"CGK%'matrixG6#7&7&\"\"\"\"\"#\"\"$\"\"%7&F-F,F+F*7&
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{MPLTEXT 1 0 20 "B:=addcol(C,2,4,-2);" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%\"BGK%'matrixG6#7&7&\"\"\"\"\"#\"\"$\"\"!7&\"\"%F,F+!\"&7&F-F-F-F
-7&F-F-F-!\"#Q)pprint146\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
22 "C:=addcol(B,2,3,-3/2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"CGK%
'matrixG6#7&7&\"\"\"\"\"#\"\"!F,7&\"\"%\"\"$#!\"&F+F17&F,F,F,F,7&F,F,F
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dcol(C,1,2,-2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BGK%'matrixG6#7
&7&\"\"\"\"\"!F+F+7&\"\"%!\"&#F.\"\"#F.7&F+F+F+F+7&F+F+F+!\"#Q)pprint1
66\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "C:=addcol(B,2,4,-1)
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"CGK%'matrixG6#7&7&\"\"\"\"\"!
F+F+7&\"\"%!\"&#F.\"\"#F+7&F+F+F+F+7&F+F+F+!\"#Q)pprint176\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "B:=addcol(C,3,1,8/5);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BGK%'matrixG6#7&7&\"\"\"\"\"!F+F+7
&F+!\"&#F-\"\"#F+7&F+F+F+F+7&F+F+F+!\"#Q)pprint186\"" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 22 "C:=addcol(B,2,3,-1/2);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"CGK%'matrixG6#7&7&\"\"\"\"\"!F+F+7&F+!\"&F+F+7&F+
F+F+F+7&F+F+F+!\"#Q)pprint196\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 
"5." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 44 "A:=Matrix([[1,-1,1],[5,2,-1],[3,4,lambda]]);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'RTABLEG6%\"(O%GU-%'MATRIXG6#7
%7%\"\"\"!\"\"F.7%\"\"&\"\"#F/7%\"\"$\"\"%%'lambdaG%'MatrixG" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "B:=addcol(A,2,1,1);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BGK%'matrixG6#7%7%\"\"!!\"\"\"\"\"
7%\"\"(\"\"#F+7%F.\"\"%%'lambdaGQ)pprint336\"" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 20 "C:=addcol(B,3,2,-5);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"CGK%'matrixG6#7%7%\"\"!!\"'\"\"\"7%\"\"(F.!\"\"7%F.
,&*&\"\"&F,%'lambdaGF,F/\"\"%F,F4Q)pprint356\"" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 20 "B:=addcol(C,1,2,-1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"BGK%'matrixG6#7%7%\"\"!!\"'\"\"\"7%\"\"(F*!\"\"7%F.
,&\"\"$F/*&\"\"&F,%'lambdaGF,F/F5Q)pprint376\"" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 20 "C:=addrow(B,2,3,-1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"CGK%'matrixG6#7%7%\"\"!!\"'\"\"\"7%\"\"(F*!\"\"7%F*
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 11 "Exercice 1:" 
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1 0 53 "A:=Matrix([[a,b,c,d],[e,f,g,h],[i,j,k,l],[m,n,o,p]]);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'RTABLEG6%\"(_n;#-%'MATRIXG6#7
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