Question: Q-2: a) [6 marks] show thatif S = {X, Y} is a set of linearly independent vectors in R, then S = {X + Y,

Q-2: a) [6 marks] show thatif S = {X, Y} is a set of linearly independent vectors in R", then S = {X + Y, X -Y} is also linearly independent. a) [6 marks] Determine whether the vectors (1,2,4), (2,3,3) and (0,0,1)span R3. b) [5+3 marks] LetW = {(a, b, c, d) E R*| a - b = 0,2b + c = d}. i. Show thatWis a subspace of R4. ii. Find a basis for W, and dim W

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