I discovered a similar phenomenon once while working in the lab.
I dropped a pretty strong magnet off of a shelf and just happened to catch it as it fell in front of a monitor. It really distorted the picture and made a lot of cool trippy colors. Then I noticed missing rows (or columns?) of pixels (the black lines you speak of).
We never resolved this problem and got the monitor replaced on warranty claiming it showed up after a thunderstorm.
I would guess, in one way or another, your TV monitor had the same effect on your computer monitor that the magnet had on mine.
Sorry