On adequacy of full matrices

This paper deals with the following question:whether a ring of matrices or classes over an adequate elementary divisor inherits property adequacy?
 The to being in matrix rings and commutative is studied.Let us denote by $\mathfrak{A}$ $\mathfrak{E}$ domains, respectively. Also $\mathfrak{A}_2$ $\mathfrak{E}_2$ $2 \times 2$ them. We prove that full nonsingular from are singular set $\mathfrak{E}_2$.