Lectures related to Change of Basis in Vector Spaces

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

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

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

Explains kernel, image, and linear maps, illustrating concepts with examples.

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

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

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