What is the characteristic polynomial of A=(001010100)A = \begin{pmatrix} 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{pmatrix}A=001010100?
−(λ−1)2(λ+1)-(\lambda - 1)^2(\lambda + 1)−(λ−1)2(λ+1)
(λ−1)3(\lambda - 1)^3(λ−1)3
−λ3+λ2+λ−1-\lambda^3 + \lambda^2 + \lambda - 1−λ3+λ2+λ−1
−(λ+1)2(λ−1)-(\lambda + 1)^2(\lambda - 1)−(λ+1)2(λ−1)