#
nLab

diagonal 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 $(A_{x,y})\in Mat_{n \times n}(R)$ whose values for $x\neq y$ are all zero is called a *diagonal matrix*.

## Examples

A diagonal matrix with value 1 on the diagonal is an identity matrix.

## Properties

Diagonal matrices form the center of the ring of matrices under matrix multiplication.

## References

See also

Last revised on November 9, 2019 at 06:03:32.
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