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On a System of Martix Equations over an Arbitrary Skew Field
引用本文:王卿文. On a System of Martix Equations over an Arbitrary Skew Field[J]. 数学季刊, 1994, 0(1)
作者姓名:王卿文
作者单位:Dept. of Math.,Changwei Teachers College,Weifang,Weifang,261043
摘    要:OnaSystemofMartixEquationsoveranArbitrarySkewField¥WangQingwen(Dept.ofMath.,ChangweiTeachersColleye,Weifang,Weifang,261043)Ab...


On a System of Martix Equations over an Arbitrary Skew Field
Wang Qingwen. On a System of Martix Equations over an Arbitrary Skew Field[J]. Chinese Quarterly Journal of Mathematics, 1994, 0(1)
Authors:Wang Qingwen
Abstract:In this peper,we give necessary and sufficient conditions for solvablity of the system of matrix equations over an arbitrary skew fieldThe distinct expressions of the general solutions of the systerm are found and some properties of the soultons are also given. Thereupon the original projection matrix is generalized over an arbitrary skew field.
Keywords:skew hield  system of matrix equations  projection matrix  generalized inverse of a matrix  dempotent matrix
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