Lectures related to Vector Spaces: Definitions and Examples

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Introduces the concept of vector spaces and covers properties of vectorial subspaces.

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

Explores linear transformations, matrices, kernels, and images in algebra.

Explores vector space properties, operations, linear combinations, and subspaces construction.

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

Covers kernels and images of linear transformations between vector spaces.

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