Authorities said the plane crashed into a building located in the 16100 block of West Hart Street at about 1:30 p.m.
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Only one person was on board the plane and was pronounced dead at the scene, according to the Los Angeles City Fire Department.
Officials said power lines were also knocked down during the crash.
There was no fuel leak, according to authorities.
The Federal Aviation Administration said the plane was believed to be an Arion Lightning.
The pilot had been practicing "touch-and-goes" at the airport prior to crashing, according to the FAA.
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An FAA inspector was at the scene of the crash.