1. The problem statement, all variables and given/known data Prove that V is cyclic relative to a linear transformation T, T:V->V if and only if the minimal polynomial of T is the same as the characteristic polynomial of T. 2. Relevant equations 3. The attempt at a solution i have finished the => direction (proved that if V is cyclic, mini poly = char poly). i have absolutely no clue where to even start with the other direction. any help would be appreciated. thanks, cj.