# Category:General Linear Group

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This category contains results about **General Linear Group**.

Definitions specific to this category can be found in **Definitions/General Linear Group**.

Let $K$ be a field.

The set of all nonsingular 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 the following 2 subcategories, out of 2 total.

### G

### S

- Special Linear Group (6 P)

## Pages in category "General Linear Group"

The following 11 pages are in this category, out of 11 total.