If a 3×33 \times 33×3 matrix AAA has minimal polynomial m(λ)=(λ−1)2(λ−2)m(\lambda) = (\lambda - 1)^2(\lambda - 2)m(λ)=(λ−1)2(λ−2), which of the following is true?
AAA is diagonalizable.
The geometric multiplicity of λ=1\lambda = 1λ=1 is 1.
The geometric multiplicity of λ=1\lambda = 1λ=1 is 2.
The rank of (A−I)(A-I)(A−I) is 1.