Solve with details:

l. a x l. . Consider the homogeneous system: (2.5 + 0.5 + 0.5 + 0.5 = 4 points) x1 + 2x2 - x3 + 596,, = 0 a) Determine a basis for the solution space of this system 2351 + 4x2 + x3 + 7x4 = 0 b) Determine the dimension of this solution space 35'71'l'63'72 + x3 + 11x4- = 0 c) This solution space is a subspace of which vector space? x1 +2952 + 3x3 + 2x4 = 0 d) The solution space of this system itself is a vector space. Give me the geometrical interpretation of this vector space