Let S v1 v2 vn be a subset of a vector space V of dimensio

Let S = {v_1, v_2, ..., v_n} be a subset of a vector space V of dimension m. S is a spanning set of V if: For x in V, x = sigma_i = 1^n c_i v_i where c_i epsilon R^1; S is a linearly independent set; Insufficient details to define.

Solution

Both a) and b) are required for the definition of a spanning set of a vector space. These two conditions provide suffuicient details to define a spanning set.