autumn 2016
SMN6190 Linear Algebra 2 - 5 ECTS
Course content
Content
Particular and general vector spaces, subspaces, basis. Gram-Schmidt process, least-squares problems. Inner product spaces. Development of the theory of eigenvalues and eigenvectors. Diagonalization with generalizations. Singular value decompositions. Linear transformations with matrix representations.
Objectives of the course
Learning outcomes, skills and attitudes
Knowledge about theory, facts, concepts and procedures in linear algebra, which constitute a fundamental basis for the professional disciplines.
Knowledge in how to solve theoretical and practical tasks by algebraic arguments. Emphasis on how to communicate results.
Knowledge in how to analyze sources of information and by logical reasoning in linear algebra derive solutions to problems.
Recommended reading/syllabus
Curriculum
David Lay: Linear Algebra and Its Applications, latest edition.
Compendia: 'Linear systems, matrices and determinants', 'Real eigenvalues and eigenvectors'
Additional theory, texts and examples on It's learning.
Lecture notes. Web lectures.
Additional literature
G. Strang: Linear algebra and its applications
H. Anton: Elementary linear algebra
E. Kreyszig: Advanced engineering mathematics.
Error rendering component
- About the course
- Campus: Narvik |
- ECTS: 5
- Course code: SMN6190
- Responsible unit
- Institutt for industriell teknologi
- Tidligere år og semester for dette emnet