CHARDON, Ohio (CNN) -- Prosecutor David Joyce said Tuesday that 17-year-old T.J. Lane has admitted taking a .22-caliber gun and a knife into Cardon High School on Monday morning and firing 10 rounds, choosing his victims randomly.
Asked by Judge Timothy J. Grendell during a preliminary hearing if he understood his rights, Lane said softly, "Yes, sir, yes, I do."
Lane will continue to be held in detention, and charges must be filed by 4:45 p.m. on March 1, the judge ordered.
"I guarantee that this was an aberration, this does not represent our community," Joyce said. "He chose his victims at random. This is not about bullying. This is not about drugs. This is someone who is not well and I'm sure, in our court case, we will prove that to all of your desires and we will make sure that justice is done in our county."
Earlier Tuesday, a third student died of wounds suffered in the shooting, hospital officials said.
Demetrius Hewlin died Tuesday morning, MetroHealth Medical Center said in a statement.
Russell King Jr., 17, was declared brain dead early Tuesday, according to the Cuyahoga County medical examiner's office.
Student Daniel Parmertor died Monday.
"We are very saddened by the loss of our son and others in our Chardon community," Hewlin's family said in a statement released by the hospital. "Demetrius was a happy young man who loved life and his family and friends. We will miss him very much, but we are proud that he will be able to help others through organ donation."
Police Chief Tim McKenna said the motive remained unclear. Students have described Lane as a withdrawn boy.
Ohio Attorney General Mike DeWine said Tuesday he does not expect the case to remain in juvenile court.
"I have not talked to the prosecuting attorney, David Joyce, yet, but what we would assume is that this case would be at some point bound over and he would be tried, in all likelihood, as an adult," DeWine said on CNN.
Lane told authorities that he stole the gun used in the shootings from his uncle, a source told CNN on Tuesday.
A law enforcement source said the weapon had been purchased legally.
Police found the gun inside the school, apparently dropped by the suspect as he fled, the source said.
One other student wounded in the shooting remained hospitalized Tuesday. A fifth victim was released, officials said.
Geauga County Sheriff Daniel McClelland said the community has a long way to go before it can put the shooting behind it.
"Now we move to another important phase," he said. "And while the investigation continues and we still look for the why and what and who, we now deal with a community looking to heal."
Classes in the tightly-knit community of 5,100, about 30 miles east of Cleveland, are to resume Friday. But staff, students and parents will be encouraged to return to district schools for visits and counseling on Wednesday and Thursday, Superintendent Joe Bergant said.
Some of the victims were students who were in the school cafeteria waiting for a bus to take them to Auburn Career Center, a nearby vocational school that they attended, said Maggie Lynch, the school's superintendent.
Lane is a student at Lake Academy Alternative School, a school for at-risk children, said the school's interim director, Don Ehas.
In a statement Monday, Parmertor's family said they were "torn by the loss."
"Danny was a bright young boy who had a bright future ahead of him," the family said.
Lawyer Bob Farinacci, speaking for Lane's family, said Monday night that the suspect, a 17-year-old sophomore, was "extremely remorseful."
"Very, very scared and extremely remorseful," he told CNN affiliate WKYC.
"He is a very confused young man right now," Farinacci said. "He's very confused. He is very upset. He's very distraught."
Like others in Chardon, Lane's family also has been left grappling for an explanation.
"This is something that could never have been predicted," Farinacci said. "T.J.'s family has asked for some privacy while they try to understand how such a tragedy could have occurred and while they mourn this terrible loss for their community."
With little to go on to help make sense of the violence, many turned to cryptic Facebook postings by the alleged shooter for a glimpse into Lane's mindset -- especially a long, dark poetic rant from December 30.
The post refers to "a quaint lonely town, (where there) sits a man with a frown (who) longed for only one thing, the world to bow at his feet."
"He was better than the rest, all those ones he detests, within their castles, so vain," he wrote.
Lane then wrote about going through "the castle ... like an ominous breeze through the trees," past guards -- all leading up to the post's dramatic conclusion.
"Feel death, not just mocking you. Not just stalking you but inside of you," it says. "Wriggle and writhe. Feel smaller beneath my might. Seizure in the Pestilence that is my scythe."
The post concludes with: "Die, all of you."
Farinacci said Lane was a "fairly quiet and good kid" with good grades who was doubling up on classes to graduate in May.
"He pretty much sticks to himself but does have some friends and has never been in trouble over anything that we know about," he said.
But just before class started Monday, witnesses say, Lane silently walked up to a table of students, holding a gun. As he opened fire, the shooter was expressionless, a student recalled.
"He was silent the entire time," said student Nate Mueller, who said his ear was grazed by a bullet. "There was no warning or anything. He just opened fire."
Monday's death toll might have been higher had it not been for the actions of assistant football coach and study hall teacher Frank Hall. Students said Hall chased the gunman out of the school, and police arrested the suspect nearby a short time later.
"Coach Hall, he always talks about how much he cares about us students, his team and everyone," said student Neil Thomas. "And I think today he really went out and he proved how much he cared about us. He would take a bullet for us."
The shooting has had national repercussions. "Violence like this should not be tolerated in our society," said House Speaker John Boehner. "But let's be honest -- there are about 250 million guns in America. They are out there but people should use them responsibly."
CNN's Scott Thompson, Lateef Mungin, Martin Savidge, Lisa Sylvester and Susan Candiotti contributed to this report.