FIND ME ON

GitHub

LinkedIn

Complement of Subspace Generates Direct Sum

🌱

Theorem
LinearAlgebra

Proposition (Complement of a subspace)

If VV is a finite dimensional Vector Space and UāŠ‚VU\subset V is a Subspace then there is another subspace WāŠ‚VW\subset V such that they generate a Direct Sum of the vector space i.e.Ā V=UāŠ•WV=U\oplus W