Lectures related to The Regular Representation

Emphasizes the importance of using orthogonal bases in linear algebra for representing linear transformations.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Showcases examples of group actions on vector spaces and topological spaces.

Explores the matrix representation of operators and basis transformation in linear algebra.

Covers linear maps, matrices, and applications, including exercises on bases and invertibility.

Explores the properties and applications of the dot product in vector spaces.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.