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Excel MINVERSE Function

The MINVERSE function returns the inverse matrix of a given array.

minverse function 1


Syntax

=MINVERSE(array)


Arguments

  • array (required): An array of numbers. The array must have the same numbers of rows and columns. It can be provided as:
    • A cell range, for example, A1:C3;
    • An array constant, for example, {1,1,1;2,2,2;3,3,3}.

Return Value

The MINVERSE function returns an inverse matrix with the same dimensions as the array provided.


Function Notes

  • If you are using the Excel versions that are prior to Microsoft 365, you should select the output range first, then enter the MINVERSE formula in the top-left-cell of the output range, and then press Ctrl + Shift + Enter to apply the function. For the users of Microsoft 365 and newer versions of Excel, you can just enter the formula in a cell, and then press Enter.
  • The output range you selected should have the same dimensions as the given array.
  • MINVERSE will return the #N/A error if the cells you selected that are outside the range of the resulting matrix.
  • MDETERM will return the #VALUE! error if:
    • Any of the cells in the array are empty or contain non-numeric values;
    • The array does not contain the same number of rows as the number of columns.
  • MINVERSE will return the #NUM! error if a square matric cannot be inverted since it has a determinant of 0.

Example

Supposing you are using one of the Excel versions that are prior to Microsoft 365, and have an array as below screenshot shown, to get its inverse matrix, please select an output range with the same dimensions, then copy or enter the formula below in the top-left-cell of the output range, and press Ctrl + Shift + Enter to get the result:

=MINVERSE({0.1,2,4;1,17,0;-2.5,3,-3})

Or, use cell references to make the formula dynamic:

=MINVERSE(B3:D5)

minverse function 2


Related functions

Excel MUNIT Function

The MUNIT function creates a unit matrix for a given specified dimension.

Excel MMULT Function

The Excel MMULT function returns the matrix product of two arrays. The array result has the same number of rows as array1 and the same number of columns as array2.

Excel MDETERM Function

The MDETERM function returns the matrix determinant of an array.


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