# Category:Definitions/General Linear Group

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This category contains definitions related to General Linear Group.

Related results can be found in Category:General Linear Group.

Let $K$ be a field.

The set of all invertible order-$n$ square matrices over $K$ is a group under (conventional) matrix multiplication.

This group is called the **general linear group (of degree $n$)** and is denoted $\GL {n, K}$, or $\GL n$ if the field is implicit.

The field itself is usually $\R$, $\Q$ or $\C$, but can be *any* field.

## Subcategories

This category has only the following subcategory.

### S

## Pages in category "Definitions/General Linear Group"

The following 4 pages are in this category, out of 4 total.