| Code | Lecturer(s) | Associate Lecturer(s) | Subsitute Lecturer(s) et other(s) |
|---|---|---|---|
| S-MATH-008 |
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term |
|---|---|---|---|---|---|---|---|
| Français | Français | 30 | 15 | 0 | 0 | 0 | Q1 |
Contents
Diagonalisation, eigenvalue, eigenvector, characteristic polynomial, minimal polynomial, Cayley-Hamilton, Jordan form.
Duality, bilinear symmetric form, orthogonality, non-degeneracy, transpose and adjoint endomorphism, automorphism, orthogonal basis, definite form.
Euclidean and Hermitian space, norm, Cauchy-Schwarz, orthonormal basis, Gram-Schmidt, spectral theorems.
Required Learning Resources/Tools
Not applicable
Recommended Learning Resources/Tools
S. Lang, Linear Algebra, Addison-Wesley
R. Mansuy & R. Mneimné, Algèbre linéaire : Réduction des endomorphismes, Vuibert.
Other Recommended Reading
Not applicable
Mode of delivery
- Face to face
Term 1 Assessment - type
- Written examination
Term 1 Assessment - comments
Not applicable
Term 2 Assessment - type
- Written examination
Term 2 Assessment - comments
Not applicable
Term 3 Assessment - type
- Written examination
Term 3 Assessment - comments
Not applicable
Resit Assessment - Term 1 (B1BA1) - Comments
Not applicable
Type of Teaching Activity/Activities
- Cours (cours magistraux; conférences)
- Exercices dirigés / utilisation de logiciels / démonstrations