1. The problem statement, all variables and given/known data Let T:V W be a linear transformation. Prove the following results. (a) N(T) = N(-T) (b) N(T^k) = N((-T)^k) (c) If V = W and t is an eigenvalue of T, then for any positive integer k N((T-tI)^k) = N((tI-T)^k) where I is the identity transformation 3. The attempt at a solution (a) for every x in V: If T(x) = y, then –T(x) = -y So then, T(0) = 0 = -T(0) Is this right? On the right track? I’m not sure how to approach the rest of them? Thanks for your help!