The behavior of an operator in terms of its components on Hilbert C^*-modules

In this paper, the behavior of an operator on Hilbert $C^*$-module via the matrix decomposition, have been studied. This relationship has been verified in terms of boundedness, closed ranges, homogeneity, normality and some other characteristics. Also, we have shown that if $T$ is EP, then its components are also EP. Finally, we have provided conditions under which $T$ is a hypo-EP operator.