中文摘要：

利用幂等矩阵的性质及两个幂等矩阵的和与差的可逆性,研究了两个幂等矩阵P,Q在条件（PQ）^2=PQ下,它们的组合T=aP＋bQ＋cPQ＋dQP＋ePQP＋fQPQ＋g（QP）2,（a,b,c,d,e,f,g∈C,ab≠0）的可逆性,并给出它的求逆公式.

英文摘要：

By using the nonsingularity of difference and sum of two idempotent matricesP.Q, we study the invertibility of the combinationT=aP＋bQ＋cPQ＋dQP＋ePQP＋fQPQ＋g（QP）2,（a,b,c,d,e,f,g∈C,ab≠0） under the condition of （PQ）^2 = PQ. Furthermore, the expression of its inverse is provided in this paper.