# Manuals/calci/MINVERSE

MINVERSE(a)

• is the array of numeric elements.
• MINVERSE(), returns the matrix inverse of an array.

## Description

• This function gives the inverse matrix for the given matrix.
• We have to find a inverse of a matrix then it should satisfy the following conditions
• 1.A matrix must be a square matrix.
• 2.It's determinant not equal to 0.
• Let be the 2x2 matrix with the elements

.

• Then the inverse of matrix is denoted by .
• Now let be the matrix is of order .
• Then the inverse of is
• Where is the adjoint of .
• Adjoint is the matrix formed by taking the Transpose of the Co-factor matrix of the original matrix.
• Also , where is the identity matrix.
• Non-square matrices do not have inverses.
• Not all square matrices have inverses.
• A square matrix which has an inverse is called invertible or non-singular, and a square matrix without an inverse is called non-invertible or singular.
• This function will return the result as error when
1. Any one of the cell is non-numeric or any cell is empty or contain text
2. Suppose number of rows not equal to number of columns


## ZOS

• The syntax is to calculate the inverse of the matrix in ZOS is .
• is the array of numeric elements.
• For e.g.,minverse([[10,12],[11,14]])

## Examples

, because its determinant value is 0.

## Related Videos

Inverse of Matrix