# Excel MDETERM Function

This post will guide you how to use** Excel MDETERM function** with syntax and examples in Microsoft excel.

### Description

The Excel MDETERM function returns the matrix determinant of an array. So you can use the MDETERM function to calculate the determinant of a square matrix in Excel.

The MDETERM function is a build-in function in Microsoft Excel and it is categorized as a Math and Trigonometry Function.

The MDETERM function is available in Excel 2016, Excel 2013, Excel 2010, Excel 2007, Excel 2003, Excel XP, Excel 2000, Excel 2011 for Mac.

### Syntax

The syntax of the MDETERM function is as below:

=MDETERM(array)

Where the MDETERM function arguments is:

**array**– This is a required argument. A numeric array with an equal number of rows and columns. So the array must provide the same number of rows and the same number of columns.

**Note:**

- the array can be a cell range or an array constant, such as: {2,3;5,6}
- If any cells in array are empty or contain text string, then the MDETERM function will return the #VALUE! Error.
- If the Array does not have the same number of rows and columns, then the MDETERM function will return the #VALUE! Error.
- 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.

### Excel MDETERM Function Examples

The below examples will show you how to use Excel MDETERM Function to calculate the determinant of a square matrix.

**1#** to calculate the determinant of the matrix for range A1: C3, enter the following formula in Cell D1.

=MDETERM(A1:C3)

**2#** to calculate the determinant of the matrix as an array constant ({2,3;4,5}), enter the following formula in Cell D2.

=MDETERM({2,3;4,5})

**3#** to calculate the determinant of the matrix as an array constant does not have an equal number of rows and columns ({2,3;4,5,6}), enter the following formula in Cell D2.

=MDETERM({2,3;4,5,6})

This formula returns a #VALUE! Error.

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