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-  2017 

矩阵的两个幂等矩阵组合的可逆性
Invertibility of the combination of two idempotent matrices which products is idempotent matrix

Keywords: 幂等矩阵, 可逆性, 组合,
idempotent matrix
, invertibility, combination

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Abstract:

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∈?,ab≠0)的可逆性,并给出它的求逆公式.

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