Lectures related to Vector Spaces: Properties and Examples

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Covers elementary matrix operations and vector spaces, including properties and conditions for invertibility.

Explores the properties of linear transformations through step-by-step calculations and matrix manipulations.

Covers vector spaces, bases, and decomposition of vectors in R³.

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.