He did not elaborate. Federal and state officials joined in the investigation and have determined the attack was not connected to any kind of larger plan, according to Austin Police.
The University of Texas is blocks from downtown Austin and the Texas Capitol and is one of the nation's largest universities.
Gov. Greg Abbott issued a statement after the campus attack and the shooting of a Dallas Fire & Rescue paramedic.
He was reportedly the first person to be stabbed by White, who police say went on a path across the heart of the campus in Austin.
The student who was killed - the first one attacked in the stabbing - was Harrison Brown.
One person died at the scene near the gym. They are suffering, and we all must be there for them.
Campus police responded to the first call of the stabbings within two minutes, Carter said.
Rachel Prichett, a freshman at UT, told local media that she was standing in line at the food truck when she heard people scream. When an officer ordered White to drop to the ground he followed directions and was taken into custody. "There was someone standing next to him yelling, 'get away!'" she said.
A man is arrested Monday after a fatal stabbing on the University of Texas campus in Austin
According to the arrest affidavit, White said it was possible he used a knife in a manner to hit someone, but that he didn't remember. She saw him walk up to a guy, grab him by his shoulder and stab him in the back.
"I just want to say thank you to everybody for all the thoughts and prayers", he said. An officer said he told White to drop the knife after he saw him raise it toward students who were also walking toward the dormitory. White was being questioned by police and formal charges related to the attack were likely to come later, Reuters reported. After he left there, he kicked a woman as if to get her out of his way, the police chief said.
There are no words to describe my sense of loss. However, the fact that he killed a student and incited violence on campus is being ignored. Her body was found in a creek on the sprawling campus. A teen transient has been charged in the case.
White walked around the university campus randomly stabbing students with a "bowie-style" hunting knife Monday afternoon and was apprehended on the scene.
"It is hard to comprehend that in 50 years there had never been a violent murder on our campus, and to have two in one year is simply unexplainable", Fenves said. "We have lots of emotions including fear and mistrust and we recognize there's bad pain among the student body". "They are asking: How can this happen again and will it happen again?"
Apparently, the attacks at UT Austin are targeting people in Greek life.
Former high school classmate Angela Bonilla, who now attends UT, told the Herald that "no one expected him to do this".
White was an active member of a student group of African American health professionals.
Texas lawmakers approve bill outlawing sanctuary cities
What were the reactions to the bill's passage? During final debate on the measure Wednesday, the bill's author, state Sen. Wes Whisenhunt, of Temple, Texas , said, "It is appropriate that we passed the resolution on the National Day of prayer".