Lectures related to Vector Spaces: Properties and Examples

Introduces the concept of vector spaces and covers properties of vectorial subspaces.

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Covers the method to calculate the images of vectors in a given base.

Covers vector subspaces in R3, stability under operations, classification, and properties.

Introduces linear algebra basics, including linear independence, injectivity, surjectivity, and bases in vector spaces.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.

Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.