Some neighbors, who were afraid to talk on camera, told Eyewitness News that they didn't hear a gunshot.
Detectives said they don't know if there is a link between Friday's shooting death and the murder of the woman's husband, Khachik Safaryan, 43, and their 8-year-old daughter, Lucine, on Dec. 11, 2008.
In both cases, the bodies were discovered by the couple's 15-year-old daughter.
Detectives said the teen and another tenant found Hakobyan dead in her SUV parked in their carport after the girl became concerned when her mother had not returned home on time.
The teen had also found her little sister dead on the couch and their father dead in a back room in the family's home on the 1200 block of Tamarind Avenue when she came home from school on December 11, 2008. They had also been shot in the head.
The killer or killers were never caught, despite the offering of a $75,000 reward. Hakobyan, who grieved at the news conference announcing the reward in February 2009, met with detectives just last weekend to talk about the unsolved murders.
Detectives said the family met with grief counselors on Monday.
Friends said Hakobyan was quiet, friendly and kind. Even in tough times, she bought gifts for the other children in the apartment complex in honor of her daughter Lusine.
Anyone with information regarding the murders was urged to call the LAPD tip line at (877) LAPD-24-7 (818-527-3247).