Given the matrix A=(010001000)A = \begin{pmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0 \end{pmatrix}A=000100010, what is the minimal polynomial m(λ)m(\lambda)m(λ)?
m(λ)=λm(\lambda) = \lambdam(λ)=λ
m(λ)=λ2m(\lambda) = \lambda^2m(λ)=λ2
m(λ)=λ3m(\lambda) = \lambda^3m(λ)=λ3
m(λ)=λ3−λm(\lambda) = \lambda^3 - \lambdam(λ)=λ3−λ