A woman who died in a weekend hostage standoff at a Trader Joe's store in Los Angeles was killed by a bullet fired by a police officer, the city's police chief said on Tuesday.

The woman, who was identified as Melyda Corado, a manager at the store, by relatives, was one of several people who had run out of the market when shooting suspect Gene Atkins, 28, crashed his car outside the store on Saturday while being chased by police, Los Angeles Police Chief Michel Moore told reporters.

"I'm sorry to report that we've now determined through our forensic investigation that one of the officers' rounds struck Ms. Corado as she was exiting the market and was in close proximity to Atkins," Moore said.