Lectures related to Permutations and Adjacency

Explores dimension theory of vector spaces, covering bases, linear applications, and ranks.

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Explores vector space operations, linear transformations, matrix representation, and linear applications.

Covers various examples and general concepts related to linear applications in algebra.

Explores Lie groups, scalar fields, and vector spaces transformations.

Explores linear algebra concepts, focusing on applications, bases, and matrices.

Explores matrix representations of linear maps and their invariance, using examples and special cases.