Inhalt

[ 201ADMALA2V12 ] KO Linear algebra and analytic geometry 2

Versionsauswahl
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Workload Education level Study areas Responsible person Hours per week Coordinating university
0 ECTS B1 - Bachelor's programme 1. year Mathematics Manuel Kauers 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
Students can competently work with vector spaces of finite dimension.
Skills Knowledge
  • Compute and apply eigenvalues, eigenvectors, and the Jordan decomposition;
  • Test matrices for diagonalizability and for positive-definiteness;
  • Compute orthogonal bases and use them to solve geometric problems;
  • Know basic notions of module theory and some examples of modules;
  • Compute and apply the SVD, the Hermite normal form, and the Smith normal form of matrices;
  • Also understand longer proofs about linear algebra;
  • Also prove nontrivial facts about linear algebra independently;
  • Estimate the algorithmic complexity of matrix operations
Theory of eigenvalues, euclidean vector spaces, elementary module theory, algorithmic aspects of linear algebra.
Criteria for evaluation
Language German
Changing subject? No
Further information (*)Konversatorium zur Unterstützung der Übungen, es werden KEINE ECTS vergeben!
On-site course
Maximum number of participants -
Assignment procedure Direct assignment