# Sum of vector spaces

The sum of two vector spaces \(U\) and \(W,\) written \(U + W,\) is a vector space where the set of vectors is all possible \(u + w\) for every \(u \in U\) and \(w \in W.\)

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The sum of two vector spaces \(U\) and \(W,\) written \(U + W,\) is a vector space where the set of vectors is all possible \(u + w\) for every \(u \in U\) and \(w \in W.\)

Parents: