Exercise Class FS 24

Linear Algebra II

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Notes:

Notes Date Content covered in exercise class
Notes 26. February 2024 The determinant and the adjugate of a matrix
Notes 4. March 2024 Sarrus' formula, eigenvectors, eigenvalues and the characteristic polynomial, diagonalization
Notes 11. March 2024 Sheet 15 Exercise 6, eigenspaces, algebraic and geometric multiplicity
Notes 18. March 2024 The minimal polynomial, Cayley-Hamilton, Jordan normal form
Notes 25. March 2024 Computing the Jordan normal form and (if time permits) some additional theory about the JNF
1. April 2024 No exercise class (Easter break)
Notes 8. April 2024 Exercises involving the Jordan normal form
15. April 2024 No exercise class (Sächsilüüte)
Notes 22. April 2024 Normed vector spaces
Notes 29. April 2024 Inner products
Notes 6. May 2024 The Adjoint of an operator and why that the sequence space does not have a countable basis
Notes 13. May 2024 Inner products, adjoints and unitary operators
20. May 2024 No exercise class (Pentecost)

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.