對向量空間(V,K,+,·),及非空集合S⊆V,若(S,K,+,·)也是向量空間,就稱. (S, K,+,・)是(V, K,+,)的子空間(subspace),記為(S, K,+, • ) ≤ (V, K, +,・),. 簡記為S≤V.
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