# nLab inverse matrix

## Properties

###### Proposition

(fundamental theorem of invertible matrices)

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

1. $A$ is an invertible matrix;

2. $A$ 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.