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Relationship between two projection matrices
Author(s): 
Pages: 221-223
Year: Issue:  2
Journal: Journal of Southwest University for Nationalities(Natrual Science Edition)

Keyword:  Moore-Penrose逆投影矩阵;
Abstract: 运用Moore-Penrose逆的定义及其性质和投影的定义去研究投影PR(A)和PR(AB)的相互关系,得到若干结果.研究表明:若矩阵A,B满足如下条件:(1)BB*=I,(2)B为酉矩阵,(3)B为非奇异阵,(4)A是列满秩,B是行满秩,则两者相等;若对于任意矩阵A,B时,两者之间存在若干重要关系式,从而进一步刻画了它们的相互关系.
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