"Her family was with her by her side" when she died, Tsang said.
Police Sgt. Richard Lewis confirmed the suspect's identity Sunday as John Zawahri. Meanwhile, investigators trying to determine why he planned the shooting spree focused on a deadly act of domestic violence that touched off the mayhem.
The heavily armed man's attack against his father and older brother at their home led to the violence in Santa Monica streets, lasting just a matter of minutes until he was shot to death in a chaotic scene at the college library by police.
Authorities had not immediately named the shooter or the two men found dead in the house because next of kin was out of the country and hadn't been notified. Lewis said his name was released Sunday after his mother cut her trip short and came back to the country.
Lewis said she was being interviewed by investigators.
"A big piece of the puzzle just came home," he said.
Investigators were looking at family connections to find a motive because the killer's father and brother were the first victims, an official briefed on the probe who requested anonymity because he wasn't authorized to speak publicly told The Associated Press.
The husband of a woman shot during the rampage said a bullet nicked his wife's ear and she'll likely have to live with shrapnel in her shoulder. Debra Lynn Fine, 50, was released in good condition late Saturday from Ronald Reagan UCLA Medical Center, according to a hospital statement.
Bullets missed his wife's vital organs by inches, Russell Fine told the AP Sunday.
"She will have some shrapnel for the rest of her life," he said. "One bullet clipped her right ear and took some small bit with it. She will probably have some reconstructive surgery for that."
She was resting at home.
The killer, who died a day shy of his 24th birthday, was connected to the home that went up in flames after the first shootings, said police Chief Jacqueline Seabrooks. His father, identified as 55-year-old Samir Zawahri, and 24-year-old brother Christopher, lived in the house.
SWAT team officers searched the mother's Los Angeles apartment and officers interviewed neighbors about the son who lived with her, said Beverly Meadows who lives in the adjoining unit.
Public records show that Meadows' neighbor is Randa Abdou, 54, the ex-wife of Samir Zawahri and former co-owner of the house where the first shooting took place.
Lewis said a small cache of ammunition was found in a room of the burned down house.
The elder Zawahri brought his family to the neighborhood of small homes and apartment buildings tucked up against Interstate 10 in the mid-1990s, according to property records.
Not long after arriving on Yorkshire Avenue, the couple went through a difficult divorce and split custody of their two boys, said Thomas O'Rourke, a neighbor.
When the sons got older, one went to live with his mother while the other stayed with the father.
Standing next to the weapons and ammo found at multiple crime scenes, Seabrooks said at a Saturday news conference that the "cowardly murderer" planned the attack and was capable of firing 1,300 rounds.
The killer had a run-in with police seven years ago, but Seabrooks wouldn't offer more details because he was a juvenile at the time.
The gunman was enrolled at Santa Monica College in 2010, Seabrooks said.
After neighbors watched in shock as he shot at his father's house and it went up in flames, he opened fire on a woman driving by, wounding her, and then carjacked another woman.
He directed her to drive to the college, ordering her stop along the way to shoot at a city bus and people on the street. Two people on the bus were injured.
Police had received multiple 911 calls by the time the mayhem shifted to the college, a two-year school with about 34,000 students located more than a mile inland from the city's famous pier, promenade and expansive, sandy beaches.
On campus, he opened fired on a Ford Explorer driven by Navarro Franco, who plowed through a brick wall into a faculty parking lot.
Joe Orcutt heard gunshots and went to see what happened in the parking lot. He said he saw the Explorer in the brick wall and was looking for the shooter when, suddenly, there he was 30 feet away firing at people like it was target practice.
The gunman then moved on foot across campus, firing away. Students were seen leaping out windows of a classroom building and running for their lives. Others locked themselves behind doors or bolted out of emergency exits.
Trena Johnson, who works in the dean's office, heard gunshots and looked out the window and saw a man in black with a "very large gun" shoot a woman in the head outside the library. That victim was transported to a hospital, where she died.
At some point, police say the gunman dropped an Adidas duffel bag loaded with ammunition magazines, boxes of bullets and a .44 revolver. Police also found a small cache of ammunition in a room in the burned-out house.
Surveillance photos showed the gunman in black strolling past a cart of books into the library with an assault-style rifle by his side.
The shooter fired at least 70 rounds in the library. Miraculously, no one was injured until two Santa Monica police officers and a campus cop arrived and took out the shooter.
The Santa Monica College Foundation has started the Carlos Franco Family Memorial Fund.
Associated Press writer Christopher Weber contributed to this story. Tami Abdollah can be reached at: http://www.twitter.com/latams