MAT-60006 Matrix Algebra, 5 cr
This is the English version of the TUT course MAT-60000 Matriisilaskenta. The course will be lectured in English every second year.
The implementation will not be executed during the academic year 2019-2020.
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 and apply them. - can use Matlab as a tool of solving problems that appear in the context of matrix algebra.
|Content||Core content||Complementary knowledge||Specialist knowledge|
|1.||Basics of linear algebra||Use of Matlab||Applications|
|2.||LU-decomposition and Gaussian elimination||Use of Matlab||Applications|
|3.||Linear algebra in n-dimensional spaces. Basis. Orthogonalisation, orthonormal basis. Change of basis. Projection matrices.||Use of Matlab||Applications|
|4.||Eigenvalues and eigenvectors. Spectral decomposition. Jordan's canonical form.||Use of Matlab||Applications|
|5.||Singular value decomposition. Matrix norm.||Use of Matlab||Applications|
Instructions for students on how to achieve the learning outcomes
Active participation in the 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 grading of the course.
Numerical evaluation scale (0-5)
|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
|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|