Difference between revisions of "Documentation/How Tos/Calc: MINVERSE function"

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{{Documentation/MasterTOC
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{{DISPLAYTITLE:MINVERSE function}}
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{{Documentation/CalcFunc ArraysTOC
|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div>
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|PrevPage=Documentation/How_Tos/Calc:_MDETERM_function
|parttitle=[[Documentation/How_Tos/Calc:_Array_functions|<div  style="font-size: 140%;">Arrays Functions]]
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|NextPage=Documentation/How_Tos/Calc:_MMULT_function
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|NextPage= Documentation/How_Tos/Calc:_MMULT_function
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|PrevPage= Documentation/How_Tos/Calc:_MDETERM_function
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
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* [[Documentation/How_Tos/Calc:_FREQUENCY_function|<div style="font-size: 120%;">Frequency]]
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* [[Documentation/How_Tos/Calc:_GROWTH_function|<div style="font-size: 120%;">Growth]]
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* [[Documentation/How_Tos/Calc:_LINEST_function|<div style="font-size: 120%;">Linest]]
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* [[Documentation/How_Tos/Calc:_LOGEST_function|<div style="font-size: 120%;">Longest]]
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* [[Documentation/How_Tos/Calc:_MDETERM_function|<div style="font-size: 120%;">Mdeterm]]
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* [[Documentation/How_Tos/Calc:_MINVERSE_function|<div style="font-size: 120%; border-style: double; border-color:#778899;">Minverse</div>]]
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* [[Documentation/How_Tos/Calc:_MMULT_function|<div style="font-size: 120%;">Mmult]]
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* [[Documentation/How_Tos/Calc:_MUNIT_function|<div style="font-size: 120%;">Munit]]
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* [[Documentation/How_Tos/Calc:_SUMPRODUCT_function|<div style="font-size: 120%;">Sumproduct]]
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* [[Documentation/How_Tos/Calc:_SUMX2MY2_function|<div style="font-size: 120%;">vSumx2my2]]
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* [[Documentation/How_Tos/Calc:_SUMX2PY2_function|<div style="font-size: 120%;">Sumx2py2]]
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* [[Documentation/How_Tos/Calc:_SUMXMY2_function|<div style="font-size: 120%;">Sumxmy2]]
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* [[Documentation/How_Tos/Calc:_TRANSPOSE_function|<div style="font-size: 120%;">Transpose]]
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* [[Documentation/How_Tos/Calc:_TREND_function|<div style="font-size: 120%;">Trend]]
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== MINVERSE ==
 
== MINVERSE ==
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: returns the inverse of the square matrix <tt>'''array'''</tt>, which may be either an inline array or a range, containing all numbers.
 
: returns the inverse of the square matrix <tt>'''array'''</tt>, which may be either an inline array or a range, containing all numbers.
  
: <tt>'''MINVERSE'''</tt> returns an array, and must be entered as an array formula (for example by using '''Cntrl-Shift-Enter''' rather than just '''Enter''').
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: <tt>'''MINVERSE'''</tt> returns an array, and must be entered as an array formula (for example by using {{key|Cntrl|Shift|Enter}} rather than just {{key|Enter}}).
  
 
: A matrix has an inverse if and only if its determinant is not zero.
 
: A matrix has an inverse if and only if its determinant is not zero.
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: when entered as an array formula in cell B3, where cells A1, B1, A2, B2 contain <tt>'''4'''</tt>, <tt>'''2'''</tt>, <tt>'''3'''</tt>, <tt>'''2'''</tt> respectively, returns <tt>'''1'''</tt>, <tt>'''-1'''</tt>, <tt>'''-1.5'''</tt>, <tt>'''2'''</tt> in cells B3, C3, B4, C4 respectively.
 
: when entered as an array formula in cell B3, where cells A1, B1, A2, B2 contain <tt>'''4'''</tt>, <tt>'''2'''</tt>, <tt>'''3'''</tt>, <tt>'''2'''</tt> respectively, returns <tt>'''1'''</tt>, <tt>'''-1'''</tt>, <tt>'''-1.5'''</tt>, <tt>'''2'''</tt> in cells B3, C3, B4, C4 respectively.
  
{{Documentation/SeeAlso|
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{{SeeAlso|EN|
 
* [[Documentation/How_Tos/Calc: MDETERM function|MDETERM]]
 
* [[Documentation/How_Tos/Calc: MDETERM function|MDETERM]]
 
* [[Documentation/How_Tos/Calc: MMULT function|MMULT]]
 
* [[Documentation/How_Tos/Calc: MMULT function|MMULT]]

Latest revision as of 11:01, 30 January 2024

MINVERSE

Returns the inverse of a matrix.

Syntax:

MINVERSE(array)

returns the inverse of the square matrix array, which may be either an inline array or a range, containing all numbers.
MINVERSE returns an array, and must be entered as an array formula (for example by using  Cntrl  +  ⇧ Shift  +  ↵ Enter  rather than just  ↵ Enter ).
A matrix has an inverse if and only if its determinant is not zero.

Example:

=MINVERSE({4;2|3;2})

when entered as an array formula in cell B3, returns {1;-1|-1.5;2}, so that cells B3, C3, B4, C4 show 1, -1, -1.5, 2 respectively.

=MINVERSE(A1:B2)

when entered as an array formula in cell B3, where cells A1, B1, A2, B2 contain 4, 2, 3, 2 respectively, returns 1, -1, -1.5, 2 in cells B3, C3, B4, C4 respectively.



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