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A [[Group|group]] of square <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/m/m062/m062830/m0628301.png" />-dimensional matrices (cf. [[Matrix|Matrix]]) with entries from an associative ring with identity (cf. [[Associative rings and algebras|Associative rings and algebras]]), with the usual multiplication of matrices. See [[Linear group|Linear group]].