t.BA.ITM.LA.19HS (Linear Algebra) 
Module: Linear Algebra
This information was generated on: 28 May 2024
Linear Algebra
Organised by


Version: 2.0 start 01 August 2019

Short description

The module teaches the basics of linear algebra. Among other things, you will learn how to work with linear systems of equations, vectors and matrices.

Module coordinator

Reif Monika (reif)

Learning objectives (competencies)

Objectives Competences Taxonomy levels
You can check linear equation systems for their (unambiguous) solvability. F,M K3
You know algorithms for solving linear systems of equations and apply them. F,M K2, K3
You are familiar with the basic arithmetic operations of vector geometry F,M K2, K3
You know the abstract concept of a vector space and its description (sub)vector space, basis, dimension, generating system, linear (un)dependency. F,M K2, K3
You are familiar with the matrix calculation and can apply it. F,M K2, K3
You understand the relation between linear transformation and the matrix calculus. F,M K2, K3

Module contents

Linear systems of equations:
  • Solvability criteria
  • Solution method (Gauss-method, Gauss-Jordan method)
Vector calculus
  • Arithmetic operations
  • Vectors in plane and space
  • Analytical geometry of straight lines and planes
Vector spaces:
  • General vector spaces and subspaces
  • Linear independence, basis, dimension
Matrix calculation
  • Special matrices
  • Arithmetic operations
  • Inverse Matrix
  • Determinant
Linear transforamation
  • Linear transformation and matrices
  • Dimension theorem
Algebraic structures

Teaching materials

Lecture note

Supplementary literature

Teschl, G; Teschl,S.: Mathematik für Informatiker  


  • Knowledge of the mathematics of the technical vocational baccalaureate
  • Knowledge of discrete mathematics

Teaching language

(X) German ( ) English

Part of International Profile

( ) Yes (X) No

Module structure

Type 2b
  For more details please click on this link: T_CL_Modulauspraegungen_SM2025


Description Type Form Scope Grade Weighting
Graded assignments during teaching semester regular assessments written  max. 45 minutes each grade 20% bonus system
End-of-semester exam exam written 90 minutes grade 80% at least


During the first week of instruction, a module agreement will be communicated which is valid for all module courses and in which the exact number and extent of the graded assignments during teaching semester will be determined.

Legal basis

The module description is part of the legal basis in addition to the general academic regulations. It is binding. During the first week of the semester a written and communicated supplement can specify the module description in more detail.


Course: Lineare Algebra - Vorlesung
Lineare Algebra - Vorlesung


  • No module description is available in the system for the cut-off date of 01 August 2099.