Lectures related to Linear Transformations: Matrices and Bases

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.

Covers the definition and use of coordinate systems and applications in bases and linear equations.

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

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