55)the given answer is b,c but i am getting the rank as 3

55. Leto be a complex number such that o = 1, buto# |, if A = then which of the oo 1 following statement are true? (a) A is invertible (b) rank (A) = 2 (c) 0 is an eigen value of A (d) The exists line arly independent vectors v, we C such that Ay= Ao =0 4 a4