| In this paper we defined the generalized inverse with factorization of morphism in a category with factorization, gave out its explict formulas, discussed its uniqueness. Applying to the category Cm×n,we use the full-rank factoriza tion of matrix A to characterize the {1,2}-inverse of A with prescribed range and null space and get a necessary and sufficient condition for a {1,2}-inverse with prescribed range and null space can be expressed as a generalized inverse with factorization. |
