Choosing the elements from Matrix or any ideas for help

again me. I am finding a function that can help me choose the elements from the matrix as below:

   F:=(F0,F1,F2,F3..Fk) 

As I know Table function, it only works with the matrix such as:

   F:= {{F0},{F1}....{Fk}}, Table[F[i+1,1],{i,1,k+1}] 

Please help me. Thanks in advance.