Iterate over subscripts, build matrix

Questions
1

Table[M_(i j) , {i, 0, 1},{j, 0, 1} ]
I am trying to iterate over i and j, and am not getting the desired result i.e. {{M_{00}},{M_{01}}, {M_{10}, M_{11}}}

2

Reverse order of i and j: {j,0,1},{i,0,1}. Does this give you what you want?

3

Sorry, it remains the same

4

Try either:

Table[M[i,j],{i,0,1},{j,0,1}]
Table[Subscript[M,Row[{i,j}]],{i,0,1},{j,0,1}]
5

@Sander Huisman, works awesome, Thanks !