Abstract：By using the nonsingularity of difference and sum of two idempotent matricesP、Q，we study the invertibility of the combination T＝aP＋bQ＋cPQ＋dQP＋ePQP＋fQPQ＋g(PQ)2，(a，b，c，d，e，f，g∈?，ab≠0)under the condition of(PQ)2＝PQ. Furthermore， the expression of its inverse is provided in this paper.
曹元元,左可正*,熊 瑶. 矩阵的两个幂等矩阵组合的可逆性[J]. 华中师范大学学报(自然科学版), 2017, 51(5): 569-573.
CAO Yuanyuan,ZUO Kezheng,XIONG Yao. Invertibility of the combination of two idempotent matrices which products is idempotent matrix. journal1, 2017, 51(5): 569-573.
2017, Vol. 51 
