matrixMultiply: Difference between revisions
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{{Command|= | {{Command|Comments= | ||
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| arma3 |Game= | | arma3 |Game= | ||
|1.92|Game Version = | |1.92|Game Version = | ||
|arg= |Multiplayer Arguments = | |arg= |Multiplayer Arguments = | ||
|eff= |Multiplayer Effects = | |eff= |Multiplayer Effects = | ||
| | |serverExec= |Multiplayer Execution ("server" or empty)= | ||
|gr1= Math |=GROUP1 | |||
|gr2= Vectors |=GROUP2 | |||
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| | | Returns resulting matrix from the [https://en.wikipedia.org/wiki/Matrix_multiplication multiplication] of two matrices. First matrix must be of the size n ✕ '''k''', while the second must be of the size '''k''' ✕ m, i.e <tt>columns</tt> matrix1 <nowiki>==</nowiki> <tt>rows</tt> matrix2. The resulting matrix will be of the size n ✕ m. If the shapes do not match, empty array [] will be returned.<br><br> | ||
[[Image:matrixMultiply.jpg|600px]]|Description= | |||
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| matrix1 [[matrixMultiply]] matrix2 |Syntax= | | matrix1 [[matrixMultiply]] matrix2 |Syntax= | ||
|p1=matrix1: [[Array]] | |p1=matrix1: [[Array]] - matrix of the size <tt>n</tt>''(rows)'' ✕ <tt>k</tt>''(columns)'' | ||
|p2=matrix2: [[Array]] | |p2=matrix2: [[Array]] - matrix of the size <tt>k</tt>''(rows)'' ✕ <tt>m</tt>''(columns)'' | ||
| [[Array]] |Return Value= | | [[Array]] - resulting matrix of the size <tt>n</tt>''(rows)'' ✕ <tt>m</tt>''(columns)''|Return Value= | ||
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|x1= <code></code> |Example 1= | |x1= <code>[ | ||
[2], | |||
[2] | |||
] | |||
[[matrixMultiply]] | |||
[ | |||
[3] | |||
] | |||
/* returns | |||
[ | |||
[6], | |||
[6] | |||
] */</code> |Example 1= | |||
|x2= <code>[ | |||
[-1,0,0], | |||
[0,-1,0] | |||
] | |||
[[matrixMultiply]] | |||
[ | |||
[1,2], | |||
[3,1], | |||
[2,3] | |||
] | |||
/* returns | |||
[ | |||
[-1,-2], | |||
[-3,-1] | |||
] */</code> |Example 2= | |||
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| [[matrixTranspose]], [[vectorAdd]], [[vectorMagnitude]], [[vectorNormalized]], [[vectorMultiply]], [[vectorDotProduct]], [[vectorCrossProduct]], [[vectorDistance]], [[vectorLinearConversion]], [[vectorCos]], [[vectorFromTo]], [[vectorModelToWorld]], [[vectorWorldToModel]], [[BIS_fnc_transformVectorDirAndUp]] |See Also= | |||
| |See Also= | |||
}} | }} | ||
<dl class="command_description"> | <dl class="command_description"> | ||
<!-- BEGIN Note Section --> | <!-- BEGIN Note Section --> | ||
<dd class="notedate">Posted on 30 Jun, 2019 | |||
<dd class="notedate">Posted on | <dt class="note">[[User:oOKexOo| oOKexOo]]<dd class="note"> | ||
<dt class="note"> | Note that this command won't transform a 1D array automatically into a column vector | ||
<dd class="note"> | <code> | ||
<code>[[ | [[-1,0,0],[0,-1,0],[0,0,-1]] [[matrixMultiply]] [1,2,3] // wrong, syntax error | ||
--> | [[-1,0,0],[0,-1,0],[0,0,-1]] [[matrixMultiply]] [[1,2,3]] // wrong, will return [] | ||
[[-1,0,0],[0,-1,0],[0,0,-1]] [[matrixMultiply]] [[1], [2], [3]] // correct, will return [[-1], [-2], [-3]] | |||
</code> | |||
<!-- END Note Section --> | <!-- END Note Section --> | ||
</dl> | </dl> | ||
Revision as of 17:11, 15 September 2020
Description
- Description:
- Returns resulting matrix from the multiplication of two matrices. First matrix must be of the size n ✕ k, while the second must be of the size k ✕ m, i.e columns matrix1 == rows matrix2. The resulting matrix will be of the size n ✕ m. If the shapes do not match, empty array [] will be returned.
- Groups:
- MathVectors
Syntax
- Syntax:
- matrix1 matrixMultiply matrix2
- Parameters:
- matrix1: Array - matrix of the size n(rows) ✕ k(columns)
- matrix2: Array - matrix of the size k(rows) ✕ m(columns)
- Return Value:
- Array - resulting matrix of the size n(rows) ✕ m(columns)
Examples
- Example 1:
[ [2], [2] ] matrixMultiply [ [3] ] /* returns [ [6], [6] ] */- Example 2:
[ [-1,0,0], [0,-1,0] ] matrixMultiply [ [1,2], [3,1], [2,3] ] /* returns [ [-1,-2], [-3,-1] ] */
Additional Information
- See also:
- matrixTransposevectorAddvectorMagnitudevectorNormalizedvectorMultiplyvectorDotProductvectorCrossProductvectorDistancevectorLinearConversionvectorCosvectorFromTovectorModelToWorldvectorWorldToModelBIS_fnc_transformVectorDirAndUp
Notes
-
Report bugs on the Feedback Tracker and/or discuss them on the Arma Discord or on the Forums.
Only post proven facts here! Add Note
- Posted on 30 Jun, 2019
- oOKexOo
-
Note that this command won't transform a 1D array automatically into a column vector
[[-1,0,0],[0,-1,0],[0,0,-1]] matrixMultiply [1,2,3] // wrong, syntax error [[-1,0,0],[0,-1,0],[0,0,-1]] matrixMultiply [[1,2,3]] // wrong, will return [] [[-1,0,0],[0,-1,0],[0,0,-1]] matrixMultiply [[1], [2], [3]] // correct, will return [[-1], [-2], [-3]]