| In this paper,using the technique of space decompositions,it is obtained the Drazin inverse representation of linear combination αP+6Q+cPQ+dQP+ePQP of two idempotent operator P and Q under the conditions PQP=QPQ and PQ=QP.In the case of θ=α+b+c+d+e≠Oand θ=α+b+c+d+e=0,the Drazin inverse is expressed as the linear combination of Qand P.Finally,the rationality of the conclusion Is gIVen. |