Exercise Class HS 23

Linear Algebra I

Links:


Notes:

Notes Date Content covered in exercise class
Notes 25. September 2023 About the course, Fibonacci sequences and an introduction to symmetries, eigensequences and eigenvalues
Notes 2. October 2023 Introduction to logic and finite fields
Notes 9. October 2023 Matrices, comopute row-reduced echelon form, invert matrices
Notes 16. October 2023 Vector spaces and subspaces
Notes 23. October 2023 Vector spaces of functions, discuss exercise 3 from sheet 4, span, how to find a basis, vector space of polynomials
Notes 30. October 2023 Complements of subspaces, linear maps, equivalence relations
Notes 6. November 2023 Linear maps and transformation matrix
13. November 2023 Replacement due to military service
20. November 2023 Replacement due to military service
27. November 2023 Replacement due to military service
Notes 4. December 2023 The dual map, the annihilator and finding an orthonormal basis
Notes 11. December 2023 The quotient space
18. December 2023 Repetition of the semester, answering general questions

Additional Material:

Note that the following documents were designed for my personal learning experience. I generally do not recommend relying exclusively on external resources while studying, creating your own summary has an indispensable learning effect. In the summaries of Analysis I/II the proofs are often only sketched, but the main ideas should certainly be included. On an exam, you should write out everything in detail, which I often abbreviated for simpler arguments.


All information is supplied without guarantee. If you find any errors, please contact me at eceglie@ethz.ch.