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Equations linéaires simultanées
Exemple Résoudre les équations linéaires simultanées suivantes pour x, y et z
4x + y –2z =– 1
x +6y +3z = 1
– 5x +4y + z =– 7
Procédure
1 m EQUA
2 1(SIML)
2(3)
3ewbw-cw-bw
bwgwdwbw
-fwewbw-hw
4 1(SOLV)
Ecran de résultat
# Les calculs internes utilisent une mantisse de
15 chiffres mais le résultat est affiché sous
forme d’une mantisse de 10 chiffres et d’un
exposant de 2 chiffres.
# Les équations linéaires simultanées sont
résolues par inversion de la matrice qui
contient les coefficients des équations.
L’exemple suivant montre la solution (
x1, x2,
x3) d’une équation linéaire simultanée à trois
inconnus.
x1 a1 b1 c1
–1
d1
x2 = a2 b2 c2 d2
x3 a3 b3 c3 d3
C’est la raison pour laquelle la précision diminue
lorsque la valeur du déterminant se rapproche
de zéro. Par ailleurs, à partir de trois inconnues,
il faut parfois un certain temps pour résoudre les
équations.
# Une erreur se produira si la calculatrice est
incapable de trouver une solution.
# Lorsque le calcul est terminé, vous pouvez
appuyer sur 1(REPT), changer de coefficient
et réexécuter le calcul.
164


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