Reversed several feet out of parking space in unobstructed lot. Car abruptly stopped and most systems shut down. Driver depressed brakes to assess. Two warning lights were present – battery and engine. Driver ensured parking brake off and brake hold off. No vehicles, people, or other objects nearby. Driver slowly depressed gas pedal; car would not budge. Driver depressed brakes and shifted into drive; driver slowly depressed gas pedal but car would not respond at all. Driver turned the car completely off. Upon restarting, battery/engine light turned off and car drove normally to dealership. The car had <250 miles on it at the time. Dealer stated that no engine codes were retained. Dealer stated verbally that it is likely a 'computer glitch' as the car is new and 'just breaking in.' Dealer stated that car 'probably won't do it again.' Written documents indicate that dealer suspects a failure in reverse automatic braking system. After car released to owner without addt'l testing, owner tested reverse automatic braking system. The system worked as expected – the car braked when it detected a close object in its field, it omitted the correct audible warning sounds and visual lights, and continued to perform when the driver depressed the braking system. Additionally, due to the newness of the car, the driver is extremely confident that no objects were around – the driver had been parking far from other vehicles to avoid dings. This 'computer glitch' is potentially fatal as the car came to a sudden, complete stop while in motion and was unresponsive in any gear, even after brakes were applied and released. The owner drives on the freeway daily. The dealer could not say with confidence that the 'glitch' would not occur in drive at high speed. Imagine driving 65 mph on a freeway and your car coming to a complete, sudden stop – not a rolling stop or a slowdown where you might inch to shoulder – just a completely dead car in the middle of a freeway.