Study programme 2019-2020 | Français | ||
Linear Algebra and Geometry II | |||
Learning Activity |
Code | Lecturer(s) | Associate Lecturer(s) | Subsitute Lecturer(s) et other(s) | Establishment |
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S-MATH-008 |
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Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term |
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Français | Français | 30 | 15 | 0 | 0 | 0 | Q1 |
Organisational online arrangements for the end of Q3 2019-2020 assessments (Covid-19) |
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Description of the modifications to the Q3 2019-2020 online assessment procedures (Covid-19) |
Course content assessed: unchanged. Assessment method: online paper-based exam (3hrs). |
Content of Learning Activity
Diagonalisation, eigenvalue, eigenvector, characteristic polynomial, minimal polynomial, Cayley-Hamilton theorem, Jordan-Chevalley decomposition.
Duality, bilinear symmetric form, orthogonality, non-degeneracy, transpose and adjoint endomorphism, automorphism, orthogonal basis, definite form.
Euclidean space, norm, orthonormal basis, Gram-Schmidt process, spectral theorem.
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
Type of Teaching Activity/Activities
Evaluations
The assessment methods of the Learning Activity (AA) are specified in the course description of the corresponding Educational Component (UE)