Suppose v1,..., vn is a basis for V and w1,..., wn a basis for W.
(a) Prove that there is a unique linear function L: V †’ W such that L[vi] = wi for i = 1,..., n.
(b) Prove that L is invertible.
(c) If V = W = Rn, find a formula for the matrix representative of the linear functions L and L-1.
(d) Apply your construction to produce a linear function that takes;

to (ii) Vi=12), wi = w2 = ( 1 60 0-