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The MINVERSE() Function Knowledgebase  

 

The MINVERSE() function calculates the inverse of the "matrix" stored in the array.

  • The syntax for the function is MINVERSE(array_1).

The argument "array_1" can be an array of numerical values, references to a range of cells or a named range of which you want to find the inverse. If the number of columns "array_1"is different from the number of rows in "array_2" or the number of elements in the resulting array is greater than 5,461 cells a #VALUE error will be returned.

The MINVERSE function calculates the inverse of a array. The resulting array has the property that when multiplied the original array it will become a unit matrix. For example: MINVERSE({1,2,5:2,3,14:6,8,8}) = {-2.3,0.63,0.34:1.79,-0.6,-0.1:-0.1,0.11,0}.

If we were to multiply the two arrays ie. MMULT( {1,2,5:2,3,14:6,8,8},{-2.3,0.63,0.34:1.79,-0.6,-0.1:-0.1,0.11,0} the result should be (approximately) equal to {1,0,0:0,1,0:0,0,1} a 3x3 unit matrix.

To learn more about inverse matrices or "arrays" in mathematics see: [The Inverse Matrices Mathematics Knowledgebase].


[The MMULT() function knowledgebase]
[The MDETERM() function
knowledgebase]
[The TRANSPOSE() function
knowledgebase]


How to use the MINVERSE() function:

  • Type " =MINVERSE( ".
  • Enter the reference for the "known_y" values "B3:D5".
  • Type ")" then press the "Enter" key.
  • Select the range F3:H5.
  • Press the "F2" key the press the Ctrl + Shift + Enter keys.
 
   

Note: If the above formula is not entered as an array formula it will return only single results. i.e. MINVER(B3:D5) = -0.3. which is only the first element of the resulting array. To enter the function as an array function: select the range F3:H5 press the " F2" key then hold down the "Ctrl" and "Shift" keys and press the Enter" key. This will enter the function as an array distributed over cells F3:H5.


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