---
title: "sum of vector and subspace"
type: concept
source: https://www.jemoka.com/posts/kbhsum_of_vector_and_subspace/
confidence: high
status: active
---

Suppose \(v \in V\), and \(U \subset V\). Then, \(v+U\) is the subset (not a subspace, obviously):
\begin{equation} v + U = \{v+u : u \in U\} \end{equation}
