10. v is a finite dimensional vector space and p is a non-zero linear map from v to v such that p? = p. which of the following statements is not necessarily tru

10. V is a finite dimensional vector space and P is a non-zero linear map from V to V such that P? = P. Which of the following statements is not necessarily true? (a) Ran(P) n Ran(I - P) = {0}. (b) (I- P = I- P. (c) P is diagonalisable. (d) P is invertible.