# Manuals/calci/MINVERSE

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**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

## See Also

## References