Spanning Sets Definition Let V be a vector space.Then a collection of vectors v1,v2,...,Un}c V is said to be a spanning set for V if V=S(v1,2,,vn). Examples (1)(e1,e2,e3)is a spanning set for R3. (2)(e1,e2,...,en)is a spanning set for R". (3)(1,,2,....)is a spanning set for Poln(R). 4口++左4生+定QCSpanning Sets Definition Let V be a vector space. Then a collection of vectors {v1, v2, . . . , vn} ⊂ V is said to be a spanning set for V if V = S (v1, v2, . . . , vn). Examples (1) (e1, e2, e3) is a spanning set for R 3 . (2) (e1, e2, . . . , en) is a spanning set for R n. (3) ￾ 1, x, x2 , . . . , xn
is a spanning set for Poln(R)