WorksheetFunction.MInverse Method
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. |
Return Value
Variant
Remarks
- The size of the array must not exceed 52 columns by 52 rows. If it does, the function returns a #VALUE! error.
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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.
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If any cells in array are empty or contain text, MINVERSE returns the #VALUE! error value.
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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.