Abstract: A new method for analysing linear feedback networks is derived by determining the loop impedance matrix and generalized cofactor. This method is used to study deeply and tystematically network functions, sensitivities, return difference and null return difference, as well as return difference matrix and null return difference matrix. A set of formula with strong regularity which are suitable for CAA is obtained. The method can be used to analyse non-planar networks. It is more suitable for networks composed of RLCM and current controlled voltage sources which is excited by independent voltage sources.