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Calcul matriciel et systèmes linéaires

Le But de L'analyse Numériques et sa relation avec les maths

COURS PDF COURS 1 COURS 2 COURS 3 COURS 4 COURS 5 COURS 6

TDs PDF TD 1 TD 2 TD 3 TD 4 TD 5 TD 6

Astuces Matricielles

Astuces Pratiques

Calcul de déterminants

Développement par ligne/colonne
Pour les matrices 2×2 : ad - bc
Pour les matrices triangulaires : produit des éléments diagonaux

Inversion de matrices

Méthodes :

Comatrice et déterminant (A^-1 = ^tcom(A)/det(A))
Pivot de Gauss sur [A|I] → [I|A^-1]

Rang d'une matrice

Nombre de lignes/colonnes linéairement indépendantes :

Égal au nombre de pivots après échelonnement
rg(A) = rg(^tA)

Trace d'une matrice

Somme des éléments diagonaux :

tr(AB) = tr(BA)
Invariante par changement de base

📅 Calendrier

📝 Tâches Scolaires

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Calcul matriciel et systèmes linéaires

Astuces Pratiques

Calcul de déterminants

Inversion de matrices

Rang d'une matrice

Trace d'une matrice

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