< Linear algebra (Osnabrück 2024-2025) < Part II

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 - Residue class spaces

49 - Orientations

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

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 - Residue class spaces

49 - Orientations

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

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