In each part, show that the set of vectors is not a basis for R³. a. {(2, -3, 1), (4, 1, 1), (0, -7, 1)} b. {(1, 6, 4), (2, 4, −1), (−1, 2, 5)} 13. Find the coordinate vector of v relative to the basis S = {V₁, V₂, V3} for R³. a. v = (2,-1, 3); v₁ = (1,0,0), v₂ = (2,2,0), V3 = (3,3,3) b. v = (5, -12, 3); v₁ = (1, 2, 3), V₂ = (-4,5,6), V3 = (7,-8,9) In Exercises 15-16, first show that the set S = {A₁, A₂, A3, A4} is a basis for M22, then express A as a linear combination of the vectors in S, and then find the coordinate vector of A relative to S. 15. A₁ = []· 4=[8]; A3 4₂ = [ ], 4, = [1], A = [8]