Lower left triangular interactors are used in multivariable control sy
stems. However, since the triangular form is not essential for a polyn
omial matrix to be an interactor, in this note we will focus our atten
tion on the more general class of interactors and their properties. It
will be shown that interactors of this general class and the state eq
uation of the inverted 'interactorized' closed loop system are invaria
nt under a state feedback.