# Category:Inverse Matrices

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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 $\mathbf A^{-1}$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Inverse Matrices"

The following 20 pages are in this category, out of 20 total.

### D

### I

- Inverse of Diagonal Matrix
- Inverse of Inverse of Matrix
- Inverse of Matrix Exponential
- Inverse of Matrix Product
- Inverse of Orthogonal Matrix is Orthogonal
- Inverse of Proper Orthogonal Matrix is Proper Orthogonal
- Inverse of Square Matrix over Field is Unique
- Inverse of Transpose of Matrix is Transpose of Inverse