Video resolution for retina iBook

I would like the video to play full screen without the black border around the video. Is it possible to make a video that is retina 2048 by 1536 pixels. Or what is best? Thanks.

Based on this thread, your safest bet is to make sure your video is no larger than 1920 x 1080 to support older iPads. 1920 / 1440 would give you a size that fits the iPad’s ratio to eliminate black bars, but make sure you test on different devices.