Kurssin etusivu
MS-C1343 Linear Algebra
Lecturer: Antti Hannukainen, M308, antti.hannukainen 'at' aalto.fi
Head assistant: Matthias Grezet, Y249a, matthias.grezet 'at' aalto.fi
Registration at Weboodi
How to pass the course ?
The course can be passed either by returning homework exercises and participating to a final exam or by a just participating to an (more difficult) exam. In the first option, homework exercises contribute to 40 percentage and final exam to 60 percentage of the final grade.
Final exam
The final exam is arranged at the Bachelor center (old main building) on wednesday 24.10.2018 at 16:30-19:30. The exact hall is announced later.
Preliminary Schedule
Week 1: Existence of a unique solution to the linear system Ax=b. Vector norm (Synopsis on : lecture 1, lecture 2)
Week 2 : Inner product, operator norm, matrix norm (Synopsis on : lecture 3, lecture 4)
Week 3: Stability of linear system Ax=b. Condition number. Eigenvalues and -vectors. Eigenvalue decomposition.( Synopsis on: lecture 6)
Week 4: Eigenvalue theory for Hermitian matrices, similarity, matrix exponent. (Synopsis on : lecture 7, lecture 8)
Week 5: Linearization of differential equations, least squares method, projection matrices.
Week 6: Gram-Schmidt orthogonalization, QR-decomposition, Singular value decomposition.