### Course Catalog 2010-2011 International

Basic Pori International Postgraduate Open University Search

|Degrees|     |Study blocks|     |Courses|

# MAT-31096 Matrix Algebra 1, 5 cr

#### Person responsible

Seppo Pohjolainen

#### Lessons

 Study type P1 P2 P3 P4 Summer Implementations Lecture times and places Excercises 2 h/week +2 h/week MAT-31096 2010-01

#### 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:

Completion parts must belong to the same implementation

#### 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

Basic Engineering Mathematics or Honour's Mathetics Courses

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#### Correspondence of content

 Course Corresponds course Description MAT-31096 Matrix Algebra 1, 5 cr MAT-31090 Matrix Algebra 1, 5 cr