Diagonalization of matrices over the domain of principal ideals with minimal polynomial m(λ) = (λ - α)(λ - β), α ≠ β

The necessary and sufficient conditions of diagonalization of matrices over a domain of principal ideals with minimal polynomial m(λ) = (λ - α)(λ - β), α ≠ β are obtained. On the basis of the obtained results, the conditions under which the matrices have common eigenvectors are indicated. © 2011 Springer Science+Business Media, Inc.