Lectures related to Introduction to Vector Spaces

Covers the definition of vector spaces, subspaces, and linear combinations of vectors.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

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

Covers linear applications between vector spaces, exploring their properties and uniqueness based on bases.

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

Covers examples of vector spaces and the concept of subspaces, emphasizing key properties and verification methods.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.