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Definition LetWbeasubspaceofMn(C) ,then ordermatrixspaceoncomplexfield .IfAB =BA , A ,B∈W ,thenWiscalledacommutablematrixspace(CMS)ofMn(C) . AmongallCMSofMn(C) ,theremustexistaCMSwithmaximaldimensions,denotedbyW(n)max,andthemaximaldimensionsbyd(n)max.Thec......