Category:Inverse Matrices

This category contains results about Inverse Matrices.
Definitions specific to this category can be found in Definitions/Inverse Matrices.

Let $n \in \Z_{>0}$ be a (strictly) positive integer.

Let $\mathbf A$ be a square matrix of order $n$.

Let there exist a square matrix $\mathbf B$ of order $n$ such that:

$\mathbf A \mathbf B = \mathbf I_n = \mathbf B \mathbf A$

where $\mathbf I_n$ denotes the unit matrix of order $n$.

Then $\mathbf B$ is called the inverse of $\mathbf A$ and is usually denoted $\mathbf A^{-1}$.