Lectures related to Linear Combinations: Basics

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.

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

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

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.

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

Covers the definitions and properties of vector spaces, including axioms and examples.