V is a vector space. Mark each statement True or False. Justify each answer. a. The number of pivot columns of a matrix equals the dimension of its column space. b. A plane in is a two-dimensional subspace of . c. The dimension of the vector space is 4. d. If dim V = n and S is a linearly independent set in V, then S is a basis for V. e. If a set {v₁ ,…, } spans a finite-dimensional vector space V and if T is a set of more than p vectors in V, then T is linearly dependent.