Abhijeet Mulgund's Personal Webpage

Search

Search IconIcon to open search

Finite-Dimensional Vector Space

Last updated Nov 1, 2022

# Definition

Let $V$ be a Vector Space. We say $V$ is finite-dimensional if $\exists S \subset V$ s.t.

  1. $S$ is a Finite Set.
  2. $S$ is a Vector Space Basis for $V$.