Riddle 1 - chess board

Let's say you have a normal chess board, like in the picture to the right. It is obvious that you can use domino tiles to fully cover the whole board, where each tile covers two squares of the chess board.

But what if I take down two squares - a8 and h1 (top-left and bottom-right)? Can the board still be fully covered with domino tiles (that do not co-exist on any square)? If so - give me your solution. If not - prove that it can't be done.