A new representation for AT,S(2,3)

A new representation of AT,S(2,3) of A having prescribed range space T and null space S   is derived. Using this representation, the well known generalized inverses such as the Moore–Penrose inverse, the group inverse, the Drazin inverse, the Bott–Duffin inverse and the generalized Bott–Duffin inverse are computed. Three numerical examples are worked out to demonstrate the computation of the Moore–Penrose inverse, the Drazin inverse and the {2,3}{2,3}-inverse to show the efficacy of our approach.