The coroner identifies the man as 45-year-old Rudy Anderson. He reportedly went on a violent crime spree shortly before taking a woman hostage.
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Through security footage officers saw Anderson in a hallway of the Santa Fe Loft Apartments, pulling a woman into an apartment unit.
SWAT storms into DTLA high-rise before fatally shooting suspect who held hostage inside
Video: Hostage situation in downtown LA ends with suspect dead, woman rescued
Video shows him hold a gun to her head.
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Moments later Los Angeles Police Department SWAT officers entered the unit and shot and killed Anderson.
Police say he had shot at other people in the area before entering the apartment building.
One bullet grazed a 14-year old boy's head.