The contragredient equivalence: Application to solve some matrix systems Original Research Article

In this paper we apply the contragredient equivalence to solve two matrix systems. Firstly, we characterize and build all possible solutions of the matrix system P = XY, Q = YX, giving a recursive formula for the number of contragrediently nonequivalent solutions. And, secondly, we find the solution of the matrix system AX = YC, BY = XD.