Tersinir Bir Altbloğa Sahip Blok Parçalanmiş Matrislerin Grup İnversleri İçin Bazı İfadeler

bir kesir cismi ve de bu kesir cismi üzerindeki tipindeki tüm matrislerin kümesi olsun. Bu çalışmadaki amaç, tersinir bir alt bloğa sahip blok parçalanmış bir kare matris olmak üzere, ( bir kare matris) matrisinin grup inversinin mevcut olması için gerek ve yeter şartları vermek ve bazı koşullar altında blok parçalanmış matrislerin grup inversi için ifadeler elde etmektir

Anahtar Kelimeler:

Kesir cismi, Blok parçalanmış matris, Bir matrisin grup inversi, Tersinir altblok, Drazin invers

Some Expressions for the Group Inverse of the Block Partitioned Matrices with an Invertible Subblock

Let be a skew field and be the set of all matrices over The purpose of this paper is to give some necessary and sufficient conditions for the existence and some expressions of the group inverse of the block matrix ( is square) under some conditions, where be a square block matrix with an invertible subblock.

Keywords:

Skew field, Block partititoned matrix, Group Inverse of a matrix, Invertible subblock, Drazin inverse,

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