Linear algebra (Osnabrück 2024-2025)/Part II/Lectures
Information
Content
31 - Vector spaces with inner product
32 - Orthogonality
33 - Isometries I
34 - Isometries II
35 - Set distances
36 - Intercept theorems
37 - Triangle geometry
38 - Bilinear forms
39 - Types of bilinear forms
40 - Minkowski-spaces
41 - Adjoint endomorphism
42 - Normal endomorphism
43 - Quadratic forms
44 - Group homomorphisms
45 - Equivalence relations
46 - Residue class formation
47 - Homomorphy theorems
48 - Orientations
49 - Symmetries
50 - Finite symmetry groups I
51 - Finite symmetry groups II
52 - Equivalent norms
53 - Convergence of matrix powers
54 - Stochastic matrices
55 - Tensor product I
56 - Tensor product II
57 - Wedge product I
58 - Wedge product II
Exercise sheets
Exercise sheet 31
Exercise sheet 32
Exercise sheet 33
Exercise sheet 34
Exercise sheet 35
Exercise sheet 36
Exercise sheet 37
Exercise sheet 38
Exercise sheet 39
Exercise sheet 40
Exercise sheet 41
Exercise sheet 42
Exercise sheet 43
Exercise sheet 44
Exercise sheet 45
Exercise sheet 46
Exercise sheet 47
Exercise sheet 48
Exercise sheet 49
Exercise sheet 50
Exercise sheet 51
Exercise sheet 52
Exercise sheet 53
Exercise sheet 54
Exercise sheet 55
Exercise sheet 56
Exercise sheet 57
Exercise sheet 58
Further material
List of definitions
Important theorems
Forum
Literature
Links
31 - Vector spaces with inner product
32 - Orthogonality
33 - Isometries I
34 - Isometries II
35 - Set distances
36 - Intercept theorems
37 - Triangle geometry
38 - Bilinear forms
39 - Types of bilinear forms
40 - Minkowski-spaces
41 - Adjoint endomorphism
42 - Normal endomorphism
43 - Quadratic forms
44 - Group homomorphisms
45 - Equivalence relations
46 - Residue class formation
47 - Homomorphy theorems
48 - Orientations
49 - Symmetries
50 - Finite symmetry groups I
51 - Finite symmetry groups II
52 - Equivalent norms
53 - Convergence of matrix powers
54 - Stochastic matrices
55 - Tensor product I
56 - Tensor product II
57 - Wedge product I
58 - Wedge product II