Linear algebra (Osnabrück 2024-2025)/Part II/Lectures

Information

• Content

Lectures

• 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