Let A be a 6 x 6 matrix with characteristic polynomial det

Last updated: 7/4/2022

Let A be a 6 x 6 matrix with characteristic polynomial det (λI - A) = λ²(λ+3)(λ-2)³. Which of the following statements are True? Select ALL that apply. The matrix λ is invertible. If the eigenvalue λ = 2 has geometric multiplicity equal to 3, then λ is diagonalizable. The eigenvalue λ = -3 has geometric multiplicity equal to 1. The eigenvalue λ = 2 has algebraic multiplicity equal to 3.