Returns the matrix determinant of an array.
Syntax
MDETERM(array)
Array is a numeric array with an equal number of rows and columns.
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 threerow, threecolumn array, A1:C3, the determinant is defined as:
MDETERM(A1:C3)
equals
A1*(B2*C3B3*C2) + A2*(B3*C1B1*C3) + A3*(B1*C2B2*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 1E16.
Example
The example may be easier to understand if you copy it to a blank worksheet.
How to copy an example
 Create a blank workbook or worksheet.
 Select the example in the Help topic.
Note Do not select the row or column headers.
Selecting an example from Help
 Press CTRL+C.
 In the worksheet, select cell A1, and press CTRL+V.
 To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

A 
B 
C 
D 
Data 
Data 
Data 
Data 
1 
3 
8 
5 
1 
3 
6 
1 
1 
1 
1 
0 
7 
3 
10 
2 
Formula 
Description (Result) 


=MDETERM(A2:D5) 
Determinant of the matrix above (88) 


=MDETERM({3,6,1;1,1,0;3,10,2}) 
Determinant of the matrix as an array constant (1) 


=MDETERM({3,6;1,1}) 
Determinant of the matrix in the array constant (3) 


=MDETERM({1,3,8,5;1,3,6,1}) 
Returns an error because the array does not have an equal number of rows and columns (#VALUE!) 


