WorksheetFunction.MDeterm(Object) Method
Definition
Important
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Returns the matrix determinant of an array.
public:
double MDeterm(System::Object ^ Arg1);public double MDeterm (object Arg1);Public Function MDeterm (Arg1 As Object) As DoubleParameters
- Arg1
- Object
Array - a numeric array with an equal number of rows and columns.
Returns
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.MDeterm 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:
MDETERM(A1:C3)
equals
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.