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@jemoka / Jemoka Knowledge Base / raw/concept/kbhsum_of_vector_and_subspace.md
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--- title: "sum of vector and subspace" source: https://www.jemoka.com/posts/kbhsum_of_vector_and_subspace/ --- 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}