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}
![](/ox-hugo/2023-01-20_22-01-31_screenshot.png)
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}