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)Mat n×n(R)(A_{x,y})\in Mat_{n \times n}(R) whose values for xyx\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. See the history of this page for a list of all contributions to it.