What it is about
You will learn concepts and tools of multilinear algebra and apply them, in particular in connection with matrix analysis and matrix algebra. In the end you will be able to understand tensor products, Kronecker operations and related structures and use them in mathematical contexts.
What you will be able to do
- Understand Kronecker products and sums
- Apply tensor products and tensor algebras
- Handling tensor ranks
- Use symmetric and exterior algebras
- Use the Hodge star operator and compound matrices
- Overview of noncommutative multilinear polynomials
What the module consists of
- VorlesungDelivery of the theory including full proofs on the board
- ÜbungsblätterPreparation and deepening through tasks for independent work
- TutoriumDiscussion and review of the solutions to the exercises
Teaching method
- Vorlesung mit Beweisen an der Tafelfor systematic derivation and justification of the theory
- Übungsblätter zur Hausarbeitto promote practical application and self-study
- Tutorium zur Diskussionto clarify and deepen the exercises