Hey, I have a question here that states:

a) Find T belongs to L(Cē) [C being the set of complex numbers] with two distinct eigenvalues such that dim rangeT = 1.

b) Suppose T belongs to L(V) and dim rangeT = K. Prove that T has at most k+1 distinct eigenvalues.

Could anyone give me an idea on how to approach this question. Any help would be greatly appreciated. Thanks.