XPS One 2710 AIO, memory upgrade from original 8GB to 16GB

I'd like to upgrade my Dell XPS One 2710 AIO originally purchased with a total of 8GB memory on 8/13/12 . I currently own and use 5 different Dell computers of various models and ages however this is by far my favorite system. Over the last month or so I've been attempting to replace the original 4GB memory DIMMs (2) with 8GB memory DIMMs (2). I realize that this is normally a rather simple task but unfortunately it has become problematic. I've got a decent amount of computer literacy, been working on PC's since the early 80's when DOS was the only option so this is not my first rodeo but then again I'm no expert and am always yearning to learn. So to explain my actions from the beginning, the 1st 2 module sets installed (16GB each) were manufactured by A-Tech and the 3rd set was made by CMS. All were the correct part numbers DDR3-12800, 1600 MHz SODIMM, 204-Pin as specified by the manufacturer. Once installed, all 3 sets would not allow the computer to boot-up and all resulted in the computer behaving in exactly the same way. What happens is, the Dell logo and the option to enter F2/F12 never post. About 3 seconds after applying power, the computer's screen will faintly flicker but then goes black and stays black. There are no beeps or any other indications of activity however the right side disk access LED does flicker. I've tried letting it stay in the black state for over 10 minutes thinking something different might eventually happen however it just stays in that state. In order to power off the the unit, the power button has to be held in for about 10 seconds. In an attempt to ensure that the new memory modules were not defective, they were installed in another computer and all worked fine. I've gone thru the swapping memory modules several dozen times and when the original memory modules are installed in their original sockets, the system boots normally but every time any other memory module pair is installed, the computer will not boot up. And now for the really weird part; when I swap the original 4GB memory modules from their original DIMM sockets, the computer will not boot-up and acts exactly the same way as it does when the new 8GB modules are installed. I've swapped them a few dozen times back and forth and every time they are installed in their original socket, the boot-up is normal but when swapped, it fails. I've also tried installing another known working 4GB memory module into both DIMM sockets and the boot fails. Its almost as if the computer tracks the memory module serial numbers and won't allow the system to boot if they don't match the original serial numbers. I really would like to upgrade this system to 16GB so if anyone could provide me with their thoughts I would be very grateful.