Lectures related to Vector Equations: Linear Systems and Combinations

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Explains linear independence, basis, and matrix rank with examples and exercises.

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

Covers the definition and examples of vector spaces, including subspaces and linear transformations.

Explores linear dependence theorems and proofs, emphasizing the importance of understanding linear dependence in linear algebra.

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.