16. Show that the set V = {(a - 2b + c, 3b, c + 2a, b - c) [a, b, cc R} is a vector space that is a subspace of R" for some n. Linear Independence, Basis and Dimension 17. Let a, y c R' with a = (1,2, 1) and y = (3, -1,1). Show that a and y are linearly independent. 18. Let f, g, he Fun(R) be defined by f(@) = 3x, g(@) = c + 2, and h(x) = (r - 1) , Var ER. Show that f, g, h are linearly independent as elements of the vector space Fun(R)