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The '''general linear group''' over a field <math>X \ </math>, written <math>\mathbb{GL}(X,n) \ </math> is the set of all invertible <math>n \times n \ </math> matrices with elements from the field <math>X \ </math>, under the operation of matrix multiplication.

The '''general linear group''' over a [[field (mathematics)|field]] <math>X</math>, written <math>\mathbb{GL}(X,n)</math> is the set of all invertible <math>n \times n</math> [[matrix|matrices]] with elements from the field <math>X</math>, under the operation of matrix multiplication.

The '''special linear group''' is the subgroup of the general linear group consisting of matrices with determinant 1.

The '''special linear group''' is the subgroup of the general linear group consisting of matrices with [[determinant]] 1.

[[Category:Mathematics]]

[[Category:Mathematics]]