Python: Iterating lists with different amount of dimensions, is there a generic way?

# 2x3 dimensional list
multidim_list = [ 
                  [1,2,3],
                  [4,5,6],    
                ]
# 2x3x2 dimensional list
multidim_list2 = [ 
                   [ 
                     [1,2,3],
                     [4,5,6],  
                   ],
                   [ 
                     [7,8,9],
                     [10,11,12],  
                   ]
                 ]

def multiply_list(list):
    ...

I would like to implement a function, that would multiply all elements in list by two. However my problem is that lists can have different amount of dimensions.

Is there a general way to loop/iterate multidimensional list and for example multiply each value by two?

EDIT1: Thanks for the fast answers. For this case, I don't want to use numpy. The recursion seems good, and it doesn't even need to make copy of the list, which could be quite large actually.