Flights at an aviation school in Adelaide's north have resumed for the first time since two people were killed when a plane crashed into a hangar four weeks ago.Flight instructor Robert Hoyle and a student pilot died shortly after take-off at Parafield Airport about 2:10pm on Wednesday, April 29.Robert Hoyle's family says he was widely "admired and respected" by his peers. (Supplied)The crash of the Flight Training Adelaide (FTA) twin-engine Diamond DA42 caused a large blaze in a hangar and injured several people on the ground, including one person who suffered "serious and significant burns".The Australian Transport Safety Bureau (ATSB) is investigating the incident and is preparing a preliminary report. In a statement, the flight school confirmed it had resumed flight operations on Tuesday."FTA is marking an important milestone as we commence a carefully managed return to flying operations, following the tragic accident that deeply impacted our FTA family and the broader aviation community," CEO Pine Pienaar said.Mr Pienaar said the resumption of flights reflected several factors, including regulatory guidance and the "continued support of our customers".Flight Training Adelaide says operations had resumed on Tuesday. (ABC News: Lincoln Rothall)"While tragedies of this nature are profoundly difficult, they reinforce the importance of continual learning, reflection, and the ongoing pursuit of the highest possible standards of safety and professionalism," he said."We remain committed to reviewing and strengthening our operations wherever appropriate as we move forward."Above all, we honour and remember those we have lost."ATSB chief commissioner Angus Mitchell at the scene of the crash. (ABC News: Lincoln Rothall)Earlier this month, Mr Hoyle's father, Scott, released an emotional tribute to his son, whom he said "loved flying above all else and had just found the love of his life"."He was flying high but taken from us far too soon," he said in a statement."There is a massive hole in our lives and a huge void in the Parafield aviation community."Mr Hoyle said his son was "admired and respected by his students and peers alike"."Robert's passion for as long as we can remember has been aviation," he said."He was known as Rob in the aviation circles and was a go-to for his extensive knowledge of all things aviation."His mates bestowed him with the nickname 'Goose' from the fictional character [in] the Top Gun movie."