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Texas Instruments TI-Nspire CX CAS Manual

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simult()
Catalogue >
simult(matriceCoeff, vecteurConst[, Tol])
⇒matrice
Donne un vecteur colonne contenant les
solutions d'un système d'équations.
Remarque : voir aussi linSolve(), page 111.
matriceCoeff doit être une matrice carrée
qui contient les coefficients des équations.
vecteurConst doit avoir le même nombre
de lignes (même dimension) que
matriceCoeff et contenir le second
membre.
L'argument facultatif Tol permet de
considérer comme nul tout élément de la
matrice dont la valeur absolue est
inférieure à Tol. Cet argument n'est utilisé
que si la matrice contient des nombres en
virgule flottante et ne contient pas de
variables symbolique sans valeur affectée.
Dans le cas contraire, Tol est ignoré.
• Si vous réglez le mode Auto ou Approché
(Approximate) sur Approché
(Approximate), les calculs sont exécutés
en virgule flottante.
• Si Tol est omis ou inutilisé, la tolérance
par défaut est calculée comme suit :
5EL14 ·max(dim(matriceCoeff))
·rowNorm(matriceCoeff)
Résolution de x et y :
x + 2y = 1
3x + 4y = L1
La solution estx=L3 et y=2.
Résolution :
ax + by = 1
cx + dy = 2
simult(matriceCoeff, matriceConst[, Tol])
⇒matrice
Permet de résoudre plusieurs systèmes
d'équations, ayant les mêmes coefficients
mais des seconds membres différents.
Chaque colonne de matriceConst
représente le second membre d'un système
d'équations. Chaque colonne de la matrice
obtenue contient la solution du système
correspondant.
Résolution :
x + 2y = 1
3x + 4y = L1
x + 2y = 2
3x + 4y = L3
… 184 …


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