Linear algebra
Entry Requirements
- Mathematics 4 or Mathematics D
Course facts
MA0036, Linear algebra, 5.0 Hp
Print syllabus
Syllabus
Finalized by: PN-O, 2025-12-12
Valid from : Autumn semester 2026 (2026-08-31)
Level
First cycle (G1N)
Subject
Mathematics/Applied Mathematics
Grading Scale
The grade requirements within the course grading system are set out in specific criteria. These criteria must be available by the course start at the latest.
Course language
Swedish
Entry Requirements
- Mathematics 4 or Mathematics D
Objectives
The course aims to provide students with fundamental knowledge of linear algebra, focusing on the solution of systems of linear equations, computations involving matrices and determinants, as well as an introduction to vectors, vector spaces, and eigenvalues required for further studies.
After successfully completing the course, the student should be able to:
Solve systems of linear equations using Gaussian elimination.
Perform computations with matrices, including calculating matrix inverses and determinants.
Explain the concept of a vector, apply the rules of vector operations, and determine whether a set of vectors is linearly independent.
Explain the concepts of the scalar product and vector product, compute these products, and interpret them geometrically.
Determine equations of lines and planes, and use them to calculate intersections and distances.
Explain the concepts of vector spaces, bases, and coordinates.
Content
Subject-related content
Systems of Linear Equations: row operations, Gaussian elimination, rank, solvability.
Matrices: matrix arithmetic and matrix inverses.
Determinants: row and column operations, Cramer’s rule.
Vectors: vector operations, linear (in)dependence, scalar and vector products; equations of lines and planes; distances, areas, and volumes.
Introduction to Vector Spaces: bases, coordinates, linear transformations.
Eigenvectors and Eigenvalues: for matrices; diagonalization.
Teaching formats
The course employs a variety of teaching methods to promote student learning and discussion through lectures and tutorials.
The course emphasizes the development of the following general competences: Critical thinking; Problem solving; Scientific methods
Examination Formats and Requirements for Passing the Course
Approved written exam.
Responsible Department/Equivalent
Department of Energy and Technology
Supplementary information
Included in program
- Bioresource Systems Engineering