Updates on the Michigan State University shooting (3 students and a suspect)

A gunman shot and killed three students and injured five others on the campus of Michigan State University Monday night before fatally shooting himself, police said.

Arielle Anderson, a junior from Grosse Pointe, Mich., Brian Fraser, a sophomore, also from Grosse Pointe, and Alexandria Verner, a junior from Clawson, Mich., were killed inside school buildings, police said Tuesday.

Five students remained hospitalized in critical condition as of Tuesday morning.

The suspect, a 43-year-old man named Anthony Dwayne McRae, was found dead off the campus in East Lansing, Mich., from a self-inflicted gunshot wound.

Investigations are ongoing, and, as of Tuesday morning, police have "absolutely no idea about a motive," said Chris Rozman, the interim deputy chief of the MSU police.

The suspect left a note threatening two public schools in New Jersey, police say
The suspect was believed to be acting alone and is not affiliated with the university, Rozman said. Police executed a search warrant on the suspect's residence early Tuesday morning.