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Course Catalog 2012-2013
MAT-31096 Matrix Algebra 1, 5 cr |
Additional information
The course homepage is
http://matpc41.ee.tut.fi/ML02
Suitable for postgraduate studies
Person responsible
Seppo Pohjolainen, 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 |
Evaluation criteria for the course
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 | English | |||
| Summary of lectures | Matrix Algebra 1 | Seppo Pohjolainen | Home page | 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 |