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Linear algebra (Osnabrück 2024-2025)/Part I/Information
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<
Linear algebra (Osnabrück 2024-2025)/Part I
Information
Content
Lectures
1 - Sets
2 - Mappings
3 - Groups and fields
4 - Linear systems
5 - Solving linear systems
6 - Vector spaces
7 - Linear independence
8 - Dimension
9 - Base change
10 - Linear mappings
11 - Subspaces under linear mappings
12 - Invertible matrices
13 - Projections
14 - Linear forms
15 - Subspaces and dual space
16 - Determinants
17 - Universal property
18 - Permutations
19 - Polynomials
20 - Interpolation
21 - Eigenspaces
22 - Relations among eigenspaces
23 - Characteristic polynomial
24 - Theorem of Cayley-Hamilton
25 - Trigonalizability
26 - Lemma of Bezout
27 - Nilpotent mappings
28 - Jordan normal form
29 - Affine spaces
30 - Affine generating systems
Exercise sheets
Exercise sheet 1
Exercise sheet 2
Exercise sheet 3
Exercise sheet 4
Exercise sheet 5
Exercise sheet 6
Exercise sheet 7
Exercise sheet 8
Exercise sheet 9
Exercise sheet 10
Exercise sheet 11
Exercise sheet 12
Exercise sheet 13
Exercise sheet 14
Exercise sheet 15
Exercise sheet 16
Exercise sheet 17
Exercise sheet 18
Exercise sheet 19
Exercise sheet 20
Exercise sheet 21
Exercise sheet 22
Exercise sheet 23
Exercise sheet 24
Exercise sheet 25
Exercise sheet 26
Exercise sheet 27
Exercise sheet 28
Exercise sheet 29
Exercise sheet 30
Further material
List of definitions
Important theorems
Forum
Literature
Links
Content