We propose a new method of presentation of system’s entropy in the form of a function of its characteristics. The form of the function is similar to the form of the informational entropy. The method developed is intended for studies of properties of a wide class of systems presented in matrix form. The problems of estimation of generalized indexes of system quality is analyzed and the methods of their determination are presented. These methods give us an opportunity to reveal destructive elements. The determination of the generalized indexes is illustrated by the examples from physical-chemical mechanics.