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Is it possible to create a dynamically changing binary $n \times n$ matrix $A$, which appears to the user as a $n \times n$ matrix/table of checkboxes and the user can change the entries of $A$ by checking or unchecking these checkboxes? If yes, what would be the easiest way?

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up vote 5 down vote accepted

Modifying last example in Manipulate>Neat Examples (also the second example in this answer):

Manipulate[
  ArrayPlot[Take[data, n, n]], 
  {{data, RandomInteger[{0, 1}, {20, 20}]}, ControlType -> None}, 
  {{n, 5}, 1, 20, 1}, 
  Dynamic[
    Panel[Grid[Outer[Checkbox[Dynamic[data[[#1, #2]]], {0, 1}] &, Range[n], Range[n]]]]]]

enter image description here

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Thank you. Suppose now I would like to use the chosen matrix in following calculations, how would I get further access to the chosen matrix? – MthQ Jul 2 '14 at 12:50
    
@Thomas, you can use Manipulate[ArrayPlot[mat=Take[data, n, n]],...] to hold the chosen matrix in global variable mat. – kglr Jul 2 '14 at 13:13

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