Let uj = U2 = Vi = V2 and Va Let U = {u, uz) and let V = {v,, Va, Va). %3D (a) Let eju +Qu2 Solve for e and c in terms of r and y. (b) Is U a basis for R? (c) Is V à basis for R? (d) Let. L: R + R be...

Please solve (a), (b) and (c) part

Extracted text: Let uj = U2 = Vi = V2 and Va Let U = {u, uz) and let V = {v,, Va, Va). %3D (a) Let eju +Qu2 Solve for e and c in terms of r and y. (b) Is U a basis for R? (c) Is V à basis for R? (d) Let. L: R + R be the unique lincar transformation such that L(u,) =v and L(u2) = V. What is the matrix associated with L (with respect to the standard basis)? (e) How many lincar transformations F: R- R are there such that F(u,), F(u2) E V?