Creating a matrix

Question

I have a function as follows:
f[x_, t_] := x + t;
Table[{x, t, f[x, t]}, {x, 0, 1}, {t, 0, 2}]

When I write  MatrixForm[%], I get

How to get a matrix as follows:

theorist · Accepted Answer

f[x_, t_] := x + t;
z = Table[{x, t, f[x, t]}, {x, 0, 1}, {t, 0, 2}];

There are several different formatting options, including the following.  Note that the first two are presentation forms only; you can't do further operations on them.  You can see this for yourself by applying Transpose to each of the three.
z1 = Flatten[z, 1];
TableForm[z1, TableHeadings -> {None, {"x", "t", "f(x,t)"}}]

z2 = Join[{{"x", "t", "f(x,t)"}}, Flatten[z, 1]];
Grid[z2, Frame -> All, ItemSize -> All]

Dataset[AssociationThread[First@z2, #] & /@ Rest@z2]

(credit to @creidhne from Better way to create a Dataset?)

DiSp0sablE_H3r0 · Answer

You can use the command ArrayReshape
ArrayReshape[
  Table[{x, t, f[x, t]}, {x, 0, 1}, {t, 0, 2}], {6, 3}] // MatrixForm

which gives

Creating a matrix

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