Problem 4. (8 POINTS) LET V = RS BE THE THREE-DIMENSIONAL VECTOR SPACE. WHICH OF THE FOLLOWING SUBSETS OF V IS A VECTOR SPACE? FIND A SUBSPACE OF V. A. THE SET OF ALL VECTORS X = [x, y, Z] SATISFYING THE CONDITIONS: 4x + y - 2z + 3 =0, 2y - 6z - 5 =0. B. THE SET OF ALL VECTORS X = [X, y, 2] SATISFYING THE CONDITION THAT X IS ORTHOGONAL TO VECTORS [1, -2, 4] AND [5, 1, -3]. C. THE SET OF ALL VECTORS X = [x, y, Z] SATISFYING THE CONDITION: 12 + 2+ 22 = 16. D. THE SET OF ALL VECTORS X = [x, y, Z] SATISFYING THE CONDITION, y + z