The California Department of Justice will investigate a fatal shooting by Los Angeles Police Department officers under a law that empowers the state attorney general to probe police shootings of unarmed people — despite the LAPD saying the man killed Tuesday was holding a gun.

At 10 p.m. Tuesday, officers responded to a reported shooting in an apartment building in the 1000 block of Ardmore Avenue in Koreatown, LAPD officials said in an unsigned statement.

As they entered the building, Ronald Gainer Jr. exited an apartment holding a handgun, officials said. The officers fired at Gainer, who retreated into the apartment.

The officers entered the unit and took Gainer into custody, according to the LAPD. Gainer, 35, died at a hospital, according to the L.A. County Medical Examiner’s office

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