If Ak=0A^k = 0Ak=0 for some kkk, what is the characteristic polynomial of AAA?
p(λ)=λnp(\lambda) = \lambda^np(λ)=λn
p(λ)=(λ−1)np(\lambda) = (\lambda - 1)^np(λ)=(λ−1)n
p(λ)=det(A)−λnp(\lambda) = \det(A) - \lambda^np(λ)=det(A)−λn
Cannot be determined