Module whose input is a function of 2 variables

Question

I need to make a Module whose input is a function of 2 variables and 2 variables m,n so i can make a Matrix with Array. Basicaly, I need this:

f[x_, y_] = Input[]
M = Array[f, {m,n}]
MatrixForm[M]

to make it work in a Module.

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score 1 · Answer 1 · edited Apr 13 '17 at 12:56

Would something like this work for you?

generatematrix :=
  Module[
   {rows, columns, function, result},
   rows = Input["Enter the number of rows"];
   columns = Input["Enter the number of column"];
   function = Input["Enter the function"];
   result = Array[function, {rows, columns}];
   MatrixForm@ result
  ]

Every time you evaluate generatematrix, three input dialogs will pop up, asking for the value of the first variable, the second variable, and then for the function you want to use. So for instance, if one entered 2, 3, and f in the three dialogs, the output would be:

Mathematica graphics

I'd like to point out something, though, regarding the fact that you wanted the MatrixForm of this expression returned. As you may be aware, MatrixForm is an output wrapper that may get in the way of further calculations carried out on your output matrix. It may be safer to return a plain output format (i.e. list of lists), and do the formatting outside of the function:

generatematrixNoMatrixForm :=
  Module[
   {rows, columns, function, result},
   rows = Input["Enter the number of rows"];
   columns = Input["Enter the number of column"];
   function = Input["Enter the function"];
   Array[function, {rows, columns}]
  ]

MatrixForm@ generatematrixNoMatrixForm

I don't quite understand why, but after returning the output I get another dialog asking me for the number of rows again. — LLlAMnYP, May 20 '15 at 22:34
@LLlAMnYP Hmm, weird. I don't see that on my end (v.10.1 Win7-64). I tried with either version, the one with MatrixForm, and the one without. — MarcoB, May 20 '15 at 23:20

Module whose input is a function of 2 variables

1 Answers1