Lectures related to Vector Spaces in R2 and R3

Explores vector space operations, linear transformations, matrix representation, and linear applications.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Covers orthogonal projections, rectors, norms, and geometric observations in vector spaces.

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

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.