Which of the following statements are FALSE? Every linearly independent subset S of vectors of a vector space V is called a basis for V. |If S = {v1, V1,..., Vn} spans a vector space V, then every vector v e V has a unique linear combination of vectors in S. OIf S = {v1, V1,..., Vn} is a basis for a vector space V, then dim (V) = n. If m < n, then the dimension of row space of an m x n matrix is strictly less than the dimension of its column space. Rank of a matrix is unique.