Descriptif
Linear algebra (MAA101) is a fast-paced course which provides students with an overview of
the most useful techniques of linear algebra. Upon completion of this course, students will fully understand
the fundamental concepts of vector spaces, dimension, linear systems, matrices and determinants, and how
they apply to problems in other elds of the Bachelor program.
Diplôme(s) concerné(s)
Format des notes
Numérique sur 20Littérale/grade américainPour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique
Le rattrapage est autorisé (Note de rattrapage conservée écrêtée à une note seuil de 9)- Crédits ECTS acquis : 5 ECTS
La note obtenue rentre dans le calcul de votre GPA.
Programme détaillé
Real and complex vector spaces, vector subspaces, direct sums of vector subspaces
Linear span, linear independence, bases, dimension
Linear maps, null-space, image, isomorphisms, image, linear forms, duality (elementary introduc-
tion)
Matrices and matrix calculus, matrix of a linear map, change of bases
Determinant of a matrix
Solving linear systems, geometric interpretation