What is the characteristic polynomial of A=(200030001)A = \begin{pmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 1 \end{pmatrix}A=200030001?
(λ−2)(λ−3)(λ−1)(\lambda - 2)(\lambda - 3)(\lambda - 1)(λ−2)(λ−3)(λ−1)
λ3−6λ2+11λ−6\lambda^3 - 6\lambda^2 + 11\lambda - 6λ3−6λ2+11λ−6
(λ−2)3(\lambda - 2)^3(λ−2)3
λ3−6λ\lambda^3 - 6\lambdaλ3−6λ