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×mn \times m-matrix for n=mn = m.

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

Created on December 1, 2019 at 04:37:39. See the history of this page for a list of all contributions to it.