Lectures related to Linear Algebra: Vector Families and Bases

Explores vector spaces, linear independence, and spanning sets in linear algebra.

Explores linear dependence and independence of vectors in geometric spaces.

Introduces linear combinations of vectors in R^n and their properties.

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

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.