WorksheetFunction.MDeterm Method
Returns the matrix determinant of an array.
Syntax
expression.MDeterm(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
Double
Remarks
-
Array can be given as a cell range, for example, A1:C3; as an array constant, such as {1,2,3;4,5,6;7,8,9}; or as a name to either of these.
- MDTERM returns the #VALUE! error when:
- Any cells in array are empty or contain text.
- Array does not have an equal number of rows and columns.
- The size of array exceeds 73 columns by 73 rows.
- The matrix determinant is a number derived from the values in array. For a three-row, three-column array, A1:C3, the determinant is defined as:
equalsMDETERM(A1:C3)
A1*(B2*C3-B3*C2) + A2*(B3*C1-B1*C3) + A3*(B1*C2-B2*C1) - Matrix determinants are generally used for solving systems of mathematical equations that involve several variables.
- MDETERM is calculated with an accuracy of approximately 16 digits, which may lead to a small numeric error when the calculation is not complete. For example, the determinant of a singular matrix may differ from zero by 1E-16.