# Manuals/calci/MATRIXINVERSE

**MATRIXINVERSE (a)**

- is any matrix.

## Description

- This function shows the inverse value of the given matrix.
- In , is any square matrix.
- Inverse of a square matrix is also called reciprocal of a matrix and it is denoted by .
- Consider the square matrix A has an inverse which should satisfies the following condition
- Also (Identity matrix).
- Consider 2x2 matrix:A=[a b;c d].
- The inverse of matrix A is calculated by

= =

- Consider 3x3 matrix A and its inverse is calculated by

= =

where A=(ei-fh); B=-(di-fg);C=(dh-eg); D=-(bi-ch); E=(ai-cg); F=-(ah-bg); G=(bf-ce) H=-(af-cd);I=(ae-bd)

## Examples

1. MATRIXINVERSE([4,7;2,6])

0.6 | -0.7 |

-0.2 | 0.4 |

2. MATRIXINVERSE([1,2,3;0,1,4;5,6,0])

-24 | 18 | 5 |

20 | -15 | -4 |

-5 | 4 | 1 |