Linear Algebra


Prerequisite/Recommended prerequisite for participation in the module

A-level mathematics from a Danish high school or equivalent.

Content, progress and pedagogy of the module

Learning objectives


Students who have passed the module should be able to explain

  • Vectors, matrices and systems of linear equations
  • Connections between solution of systems of linear equations, associated matrices and operations on those
  • Linear independence and dimension.
  • Eigenvalues and eigenvectors
  • The connection between properties of a matrix and of the echelon form of it
  • Linear programming: Possibilities and limitations
  • The least square method and the connetion to orthogonal projection.
  • Orthogonal and symmetric matrices.


  • Matrix-vector product, product and sum of matrices.
  • Row operations.
  • Gauss elimination.
  • Eigenvalues and eigenspaces.
  • Solution of a system of linear equations on vector form.
  • Bases of subspaces associated with a matrice.
  • The simplex method. Converting to standard form.
  • The least square method on a data set.


  • Can apply methods and concepts from linear algebra, including linear programming and orthogonal projections to given problems relevant to the study programme

Type of instruction

  • Lectures
  • Exercises
  • Videos
  • Quiz
  • Digitalized self-study
  • Workshops on calculus problems relevant to the study programme.

Extent and expected workload

150 hours



Name of examLinear Algebra
Type of exam
Written or oral exam
Assessment7-point grading scale
Type of gradingInternal examination
Criteria of assessmentThe criteria of assessment are stated in the Examination Policies and Procedures

Facts about the module

Danish titleLineƦr algebra
Module codeK-KT-B2-20
Module typeCourse
Duration1 semester
Language of instructionDanish and English
Empty-place SchemeYes
Location of the lectureCampus Esbjerg
Responsible for the module


Study BoardStudy Board of Biotechnology, Chemistry and Environmental Engineering
DepartmentDepartment of Chemistry and Bioscience
FacultyFaculty of Engineering and Science