題組內容

2. Let $\vec{v}_1, \vec{v}_2, \dots, \vec{v}_k$ be vectors in a vector space V. Please show that

(b) $ \operatorname{span}\{\vec{v}_1, \vec{v}_2, \dots, \vec{v}_k\} $ is the smallest subspace of $ V $ that contains $ \vec{v}_1, \vec{v}_2, \dots, \vec{v}_k $. (4%)