But du cours
"1. Elements of Linear Algebra The vector space model: definition and examples. The concept of a vector subspace: characterization and properties. Linear combinations of vectors: concepts and applications. Vector subspace spanned by a family of vectors. Linearly independent vectors: definition and criteria. Basis and dimension of a vector subspace. Kernel and image of a matrix: definition and properties. Rank and nullity of a matrix: rank theorem and applications.
- Systems of m Linear Equations with n Unknowns
Structure of the solution set of a linear system. Gaussian elimination method: principle and implementation. Elementary matrices: definition, properties, and applications.
- Polynomials
Euclidean division Roots of a polynomial. Multiplicity of a root. d'Alembert's theorem Factorization of a polynomial in the set of complex numbers"
Acquis d'apprentissage visés
- Ability to solve systems of n equations with n unknowns
Supports
Resources available on the Moodle platform.