Difference between revisions of "Linear group"
From Conservapedia
(correct definition) |
(fix math so that simple math can be rendered as HTML, wl) |
||
(One intermediate revision by one other user not shown) | |||
Line 1: | Line 1: | ||
− | The '''general linear group''' over a field <math>X | + | 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]] |
Latest revision as of 23:00, April 24, 2013
The general linear group over a field , written is the set of all invertible matrices with elements from the field , under the operation of matrix multiplication.
The special linear group is the subgroup of the general linear group consisting of matrices with determinant 1.