MAT-60006 Matrix Algebra, 5 cr
Additional information
This is a parallel course for the finnish course "Matriisilaskenta 1". THERE ARE NO LECTURES IN ENGLISH. The lecture notes, exercises, and exams are available in English.
Person responsible
Lassi Paunonen
Lessons
Implementation 1: MAT-60006 2015-01
| Study type | P1 | P2 | P3 | P4 | Summer |
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Requirements
Two partial examinations or final examination
Completion parts must belong to the same implementation
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 -knows the main definitions of Matlab uses and understands the basis of the algorithms used in Matlab.
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- and QR-decompositions | 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
Two partial examinations or final examination
Assessment scale:
Numerical evaluation scale (1-5) will be used on the course
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 or Honour's Mathetics 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 |