The Matrix Linear Unilateral and Bilateral Equations with Two Variables over Commutative Rings

الملخص EN

The method of solving matrix linear equations AX+BY=C and AX+YB=C over commutative Bezout domains by means of standard form of a pair of matrices with respect to generalized equivalence is proposed.

The formulas of general solutions of such equations are deduced.

The criterions of uniqueness of particular solutions of such matrix equations are established.