OAD .Q5 please provide justified solutions as soon as possible to get upvote..please do every part. thanks

V, = (1,3,2,1) V2 = (5,1,2,1) 5. Consider the set of vectors in R*, S = {V,, V2, V, , VA, VS, V. } where V3 = (14,0,4,2) VA = (1,3,2,1) VS = (5,1,0,0) V6 = (6,4,2,1) a) Write the vector matrix, A 1 0 -1 101 0 1 3 0 0 0 b) (Mathematica step) Matrix A in row reduced echelon form is B = 0 0 0 01 1 0 0 0 0 0 0 c) What are the vector dependencies, if any? d) What is a basis for the subspace generated by S? e) What is the dimension of this subspace? f) Is there a common name for this subspace? If so, what is it