Abstract: On the basis of the weight inverses P^-1,this paper introduces the t-dimeusianal zero point,discusses the adjusted unique value and their necessary and sufficient conditions of the irregular weight metrix P:trP^->trP⁺=min.It will also deal with the generalized weight matrix inverses P^-,P⁺,the identity between them and penrose generalized matrix inverses,their constant solution and unique solution,arbitrary solution and conditional solution.This method has been checked with practical example.