Lectures related to Zero element

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Introduces the kernel of a linear application and its properties.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers examples of vector spaces and the concept of subspaces, emphasizing key properties and verification methods.

Explores Weyl characters, Macdonald's identities, and Borcherds products in Euclidean space.

Covers the representation and operations in coordinate space with points and vectors.

Covers the basics of vector spaces, including addition, scalar multiplication, and zero vectors, with examples and applications.

Introduces eigenvalues and eigenvectors for square matrices through examples.

Introduces vector definitions, displacement, addition, and applications in geometry.

Covers orthogonal linear maps, orthogonal matrices, invertibility, and least squares solutions in Euclidean spaces.

Covers the fundamentals of analytical geometry, focusing on vectors and their operations.

Explores linear independence in vector spaces and the concept of bases.

Explores vector space properties, operations, linear combinations, and subspaces construction.

Covers matrix operation properties and examples, including distributivity, neutrality, and associativity.

Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.

Explores eigenvalues, eigenvectors, and diagonalizable transformations through various examples.

Explores the Hausdorff dimension of Brownian motion zeros, demonstrating a dimension of 1/2 with certainty.

Explores the associativity property of matrix multiplication for proving products equal to zero.

Covers the properties of exponential and logarithmic functions.