Affiliation:
1. School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, China
Abstract
In this paper, we introduce a new generalized inverse, called the G-MPCEP inverse of a complex matrix. We investigate some characterizations, representations, and properties of this new inverse. Cramer’s rule for the solution of a singular equation
is also presented. Moreover, the determinantal representations for the G-MPCEP inverse are studied. Finally, the G-MPCEP inverse being used in solving appropriate systems of linear equations is established.
Funder
Science and Technological Bases and Talents of Guangxi