Matrix operators has been widely used in analytical models which pursuit to finding the transformation properties of real world. As the estimator of matrix elements may contain the uncertainties, however, it is necessary for parameter variations to carry out the sensitivity analysis. In this paper, we present the various methods concerned with sensitivity analysis for matrix operators. Among them we find that the eigenvalue sensitivity approach, especially, is the best way for analyzing either the microscopic sensitivity analysis or the macroscopic analysis for changing parameters of matrix operators. A brief illustration is provided, and possible extensions to other field are outlined.