nLab inverse matrix

Contents

Contents

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 October 19, 2022 at 07:20:51. See the history of this page for a list of all contributions to it.