Lectures related to Algebraic Structures: Fields and Vectorial Spaces

Introduces vector definitions, displacement, addition, and applications in geometry.

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

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.