# 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

Matrix Inverse