. Suppose that v1, v2, 03, 04 form a basis & for a vec- tor space V and w₁, w2 form a basis ẞ for a vector space W. Suppose that T : VW is a linear transformation such that
T(v1) = 2w1 - 3w2,
T(v3) = w1+2w2,
T(V2)=-W1 +3w2,
T(v4) = 3w2.
a) Find [T].
b) Find [T (v)] if v = 4v1 +302 +203 + 04.
c) Use the result of part (b) to find T (v) in terms of w₁ and w2.