Lectures related to Complemented subspace

Covers the properties of polynomials vector space and subspaces.

Covers the concept of orthogonal complement in Rn and related propositions and theorems.

Explores orthogonal complement and projection theorems in vector spaces.

Explores the direct sum of abelian groups, emphasizing bijections and uniqueness.

Explores the Hom functor for abelian groups and its relation to direct sums.

Covers norm, scalar product, and perpendicularity in R^n, including the theorem of Pythagoras and orthogonal complements.

Covers the decomposition of linear operators and properties of eigenspaces.

Delves into direct sums of abelian groups, showcasing their coproduct properties and universal verification.