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Course Catalog 2013-2014
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.
Suitable for postgraduate studies
Person responsible
Lassi Paunonen
Lessons
| Study type | P1 | P2 | P3 | P4 | Summer | Implementations | Lecture times and places |
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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 | Edition, availability, ... | Examination material | Language |
| Book | Matrix Theory with Applications | Goldberg | McGraw-Hill | No | English | ||
| Summary of lectures | Matrix Algebra 1 | Seppo Pohjolainen | Home page | Yes | English |
Additional information about prerequisites
Basic Engineering Mathematics or Honour's Mathetics Courses
Prerequisite relations (Requires logging in to POP)
Correspondence of content
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More precise information per implementation
| Implementation | Description | Methods of instruction | Implementation |