Lectures related to Direct Sums of Abelian Groups

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

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

Explores the concept of free abelian groups as an important left adjoint functor.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.