This diagram is probably more clear..
That diagram shows two power sources for the LEDs - neither of which is appropriate.
As I mentioned earlier, the ONLY safe place to connect a 9v supply in this system is to the Arduino DC jack. Do not connect 9v to any other pin or any other component.
The 3.3v pin is also not sufficient to drive your LEDs. It is not capable of supplying enough current and you could damage the 3.3v regulator. You should get a 3xAA (4.5v) pack or some other poser source in the 4-5v range for your LEDs.