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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 0 "" }{TEXT 256 0 "" }{TEXT 
257 0 "" }{TEXT 258 18 "Pivot et compagnie" }}{PARA 257 "" 0 "" {TEXT 
259 26 "Mise au point pr\351taupinale" }}}{SECT 0 {PARA 3 "" 0 "" 
{TEXT -1 36 "1.5 R\351solution de syst\350mes lin\351aires" }}{SECT 0 
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{MPLTEXT 1 0 36 "solve(\{2*x+2*y-3*z=2,y-6*z=-3,z=4\});" }}{PARA 11 "
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"" {XPPMATH 20 "6#<&/%\"xG,&\"\"\"F'*&#F'\"\"#F'%\"zGF'F'/%\"yG,$F+#!#
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{XPPMATH 20 "6#<&/%\"zGF%/%\"xG,(\"\"#\"\"\"*&\"\"%F*F%F*F**&F,F*%\"tG
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" {MPLTEXT 1 0 35 "solve(\{x+y=3,alpha*x+2*y=4\},\{x,y\});" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#<$/%\"xG,$*&\"\"\"F(,&%&alphaGF(\"\"#!\"\"F,
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-1 106 "Il a fallu dire\340 Maple quelles \351taientles inconnues. Par
 ailleurs, Maple ne distinguepas le cas alpha=2..." }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 44 "alpha:=2:solve(\{x+y=3,alpha*x+2*y=4\},\{x,
y\});" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "Pas de solution" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "
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1 0 35 "solve(\{x+y=3,alpha*x+2*y=6\},\{x,y\});" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#<$/%\"xG\"\"!/%\"yG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 44 "alpha:=2:solve(\{x+y=3,alpha*x+2*y=6\},\{x,y\});" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"xG,&\"\"$\"\"\"%\"yG!\"\"/F)F)" 
}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 239 "Comme quoi c'est perfide : il \+
peut ne pas y avoir de division par alpha-2 dans le r\351sultat, bien \+
que le cas alpha=2 soit trait\351 de fa\347on fausse par Maple (en fai
t, Maple r\351pond correctement \340 une question qui n'est pas celle \+
qu'on croit..." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "solve(\{x+y+z=1,2*x+alpha
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xG,&#\"\"&\"\"#\"\"\"*&#F(\"\"'F*%&alphaGF*F*/%\"yG#!\"&F)/%\"zG,&F*F*
*&#F(F-F*F.F*!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 281 "En fait, M
aple ne consid\350re pas alpha comme un param\350tre au sens o\371 nou
s on l'entend... avec du m\351tier (apr\350s le cours d'alg\350bre lin
\351aire !) vous pourrez comprendre ce qui suit : on y d\351tecte les \+
alpha qui posent probl\350me, puis on traite \351ventuellement \340 pa
rt les cas particuliers." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 
"with(linalg):" }}{PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected \+
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"" 0 "" {TEXT -1 55 "on sait alors qu'il y a toujours une unique solut
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{TEXT -1 16 "Pas de solution." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
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