Given vector w = (3, 1, 4) , write w as a linear combination of the vectors in set S = {(2, 1, 3) , (1, 0, 1) }.

a) w = 2(2, 1, 3) + (1, 0, 1)
b) w = 3(2, 1, 3) - (1, 0, 1)
c) w = 2(2, 1, 3) - (1, 0, 1)
d) w = 3(2, 1, 3) + (1, 0, 1)