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Système d’équations linéaires Karima Amoura Chargée de cours Département de mathématiques et de statistique Université de Montréal [email protected] Ressource développée dans le cadre du projet Mathéma-TIC Financé par le ministère de l'Enseignement supérieur, de la Recherche et de la Science (MESRS) du Québec dans le cadre du Programme d'arrimage universités-collèges Financé à partir du budget d’intégration pédagogique (Université de Montréal et Syndicat des chargé(e)s de cours)
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Définition Équation linéaire On appelle équation linéaire d’inconnues 𝑥 1 , 𝑥 2 ,…, 𝑥 𝑛 une équation que l’on peut mettre sous la forme : ? 1 𝑥 1 + ? 2 𝑥 2 +…+ ? 𝑛 𝑥 𝑛 = ?, ? et les coefficients ? 1 , ? 2 , …, ? 𝑛 sont des nombres réels ou complexes.
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Exemple 1 1) 2) 2 1 3 2 5 4 x x x 2 1 1 3 cos( ) x x x x
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Quelques termes non permis dans une équation linéaire , i i j j x x x x i x ln( ), cos( ), sin( ), i x i i i x x x e ,telque 1 s i x s
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