Lectures related to Linear Applications and Span

Covers the concept of orthogonal complement in Rn and related propositions and theorems.

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.

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.

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

Covers the Rank Theorem in linear algebra, focusing on vector spaces and linear applications.

Covers linear independence, bases, change of basis, and vector representation.