#
nLab

square matrix

Contents
### Context

#### Linear algebra

**homotopy theory, (∞,1)-category theory, homotopy type theory**

flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed…

models: topological, simplicial, localic, …

see also **algebraic topology**

**Introductions**

**Definitions**

**Paths and cylinders**

**Homotopy groups**

**Basic facts**

**Theorems**

# Contents

## Idea

A *square matrix* is an $n \times m$-matrix for $n = m$.

Under matrix multiplication the $n \times n$ square matrices for fixed $n \in \mathbb{N}$ with values in some commutative ring $R$ form the *matrix algebra* $Mat_n(R)$, inside which one finds matrix groups etc.

## Properties

### Gershgorin circle theorem

See at *Gershgorin circle theorem*.

Last revised on April 21, 2021 at 06:42:00.
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