Vector Spaces: Structure and Bases

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

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

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

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