Abstract：By the definition of Drazin inverse and properties of idempotent matrices， the existence of Drazin inverse of linear combinations aP＋bQ (a，b∈，a，b≠0) of two nonzero different idempotent matrices P and Q is proved under the condition (PQ)mP＝(PQ)m. Moreover， the formulae for its Drazin inverse is also presented.
曹秋红,谢 涛,左可正. 两个幂等矩阵线性组合的Drazin逆[J]. 华中师范大学学报(自然科学版), 2018, 52(4): 458-460.
CAO Qiuhong,XIE Tao,ZUO Kezheng. Drazin inverse of linear combination of two idempotent matrices. journal1, 2018, 52(4): 458-460.
2018, Vol. 52 
