Creation of a N-dimensional array of length n

Can I create N -dimensional array? If so, how to realize it? If the matrix is ​​a “list of lists”, then it will look something like this:

  [[...]], [[...] ...]]     
, or so that it is more clear, like it is more clear, like it is more clear.  n  of the invested segments, the picture below, 
  
  (A1 [...] ...] B1, a2_m [...] ...] b2_m, ...)     
 
  
 and how to realize it in the code? If we say, I need to introduce  n  from the keyboard. Thank you very much!