Lectures related to Vector Spaces: Generating Families and Isomorphisms

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

Explores solutions of linear equations, null spaces, subspaces, vector spaces, linear independence, bases, and dimensions.

Explores the definition and properties of Hermitian forms in complex vector spaces.

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

Covers the extraction of bases from families of vectors and the concept of coordinate application in vector spaces.