nLab
inverse matrix

Context

Higher 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

Properties

Proposition

(fundamental theorem of invertible matrices)

For nn \in \mathbb{N} and AMat n×n(k)A \in Mat_{n \times n}(k) a square matrix, the following are equivalent:

  1. AA is an invertible matrix;

  2. AA is the matrix product of elementary matrices?.

References

Last revised on September 19, 2018 at 05:13:54. See the history of this page for a list of all contributions to it.