MAT-60006 Matrix Algebra, 5 cr
Additional information
This is a parallel course for the finnish course "Matriisilaskenta".
Person responsible
Mika Mattila
Lessons
| Implementation | Period | Person responsible | Requirements |
| MAT-60006 2017-01 | 3 |
Mika Mattila |
Final examination |
Learning Outcomes
After passing the course the student: - knows the main concepts of matrix algebra and linear algebra and is able to perform calculations and make valid conclusions. - is able to make the most important matrix decompositions - can use the matrix decompositions in the right context - can use Matlab as a tool to help solving of problems that appear in the context of matrix algebra.
Content
| Content | Core content | Complementary knowledge | Specialist knowledge |
| 1. | Basics of linear algebra | Use of Matlab | Applications: - use of angle between vectors as a measure of similarity |
| 2. | LU-decomposition and Gaussian elimination | Use of Matlab | Applications: - solution of linear systems |
| 3. | Linear algebra in n-dimensional spaces. Basis. Orthogonalisation, orthonormal basis. Change of basis. Projection matrices. | Use of Matlab | Application: |
| 4. | Eigenvalues and eigenvectors. Spectral decomposition. Jordan's canonical form. | Use of Matlab | Applications: |
| 5. | Singular value decomposition. Linear systems of equations. Pseudoinverse. | Use of Matlab | Applications |
Instructions for students on how to achieve the learning outcomes
Active participation in weekly exercise sessions is very much recommended. It will also result as a significant number of bonus points that will be taken into account in the gradind of the course.
Assessment scale:
Numerical evaluation scale (0-5)
Partial passing:
Study material
| Type | Name | Author | ISBN | URL | Additional information | Examination material |
| Book | Matrix Theory with Applications | Goldberg | McGraw-Hill | No | ||
| Summary of lectures | Matrix Algebra 1 | Seppo Pohjolainen | Home page | Yes |
Additional information about prerequisites
Basic Engineering Mathematics 1-4 or Mathetics 1-4 Courses
Correspondence of content
| Course | Corresponds course | Description |
| MAT-60006 Matrix Algebra, 5 cr | MAT-31096 Matrix Algebra 1, 5 cr | |
| MAT-60006 Matrix Algebra, 5 cr | MAT-60000 Matrix Algebra, 5 cr |