# WorksheetFunction.MInverse Method (Excel)

Office 2010

Returns the inverse matrix for the matrix stored in an array.

## Syntax

expression .MInverse(Arg1)

expression A variable that represents a WorksheetFunction object.

### Parameters

Name

Required/Optional

Data Type

Description

Arg1

Required

Variant

Array - a numeric array with an equal number of rows and columns.

Variant

## Remarks

• The size of the array must not exceed 52 columns by 52 rows. If it does, the function returns a #VALUE! error.

• Array can be given as a cell range, such as A1:C3; as an array constant, such as {1,2,3;4,5,6;7,8,9}; or as a name for either of these.

• If any cells in array are empty or contain text, MINVERSE returns the #VALUE! error value.

• MINVERSE also returns the #VALUE! error value if array does not have an equal number of rows and columns.

• Formulas that return arrays must be entered as array formulas.

• Inverse matrices, like determinants, are generally used for solving systems of mathematical equations involving several variables. The product of a matrix and its inverse is the identity matrix — the square array in which the diagonal values equal 1, and all other values equal 0.

• As an example of how a two-row, two-column matrix is calculated, suppose that the range A1:B2 contains the letters a, b, c, and d that represent any four numbers. The following table shows the inverse of the matrix A1:B2.

Column A

Column B

Row 1

d/(a*d-b*c)

b/(b*c-a*d)

Row 2

c/(b*c-a*d)

a/(a*d-b*c)

• MINVERSE is calculated with an accuracy of approximately 16 digits, which may lead to a small numeric error when the cancellation is not complete.

• Some square matrices cannot be inverted and will return the #NUM! error value with MINVERSE. The determinant for a noninvertable matrix is 0.