Alexei Davydov - VideoAndMovie

Centres of matrix groups

27:59

Centres of matrix groups

Finite matrix groups

13:31

Finite matrix groups

Groups of matrices

13:58

Groups of matrices

Applications of Sylow theorems, groups of order pq

19:21

Applications of Sylow theorems, groups of order pq

Sylow theorems: formulation, an application

14:53

Sylow theorems: formulation, an application

Orthogonal polynomials

20:03

Orthogonal polynomials

Least squares linear and quadratic approximations

24:54

Least squares linear and quadratic approximations

Least square approximation

23:21

Least square approximation

distance from a point to a subspace, angle between a vector and a subspace

24:30

distance from a point to a subspace, angle between a vector and a subspace

Abstract scalar products

10:07

Abstract scalar products

Volumes and determinants

13:28

Volumes and determinants

Orthogonalisation

12:32

Orthogonalisation

Orthogonal projection

12:51

Orthogonal projection

Scalar product of coordinate vectors

16:00

Scalar product of coordinate vectors

Counting paths in a graph

30:16

Counting paths in a graph

Computing 2 to the power of a matrix

19:25

Computing 2 to the power of a matrix

Evaluating functions on matrices

13:59

Evaluating functions on matrices

Diagonalisation

20:25

Diagonalisation

Eigenvalues and eigenvectors

20:18

Eigenvalues and eigenvectors

Eigenvectors and eigenvalues

16:32

Eigenvectors and eigenvalues

Linear (in)dependence of vectors

15:20

Linear (in)dependence of vectors

Coordinates, bases, dimension

13:53

Coordinates, bases, dimension

Abstract linear maps

9:05

Abstract linear maps

Abstract vector spaces

20:54

Abstract vector spaces

Fields

14:26

Fields

determinant with a parameter

14:40

determinant with a parameter

Cramer's formula for the inverse matrix

18:30

Cramer's formula for the inverse matrix

Cofactor expansion of determinants

17:54

Cofactor expansion of determinants

Determinants by elementary transformations

19:32

Determinants by elementary transformations

Pfaffian

25:09

Pfaffian