The man was shot by Edmonton police last Friday after a 35-year-old woman and her 11-year-old child were stabbed outside Crawford Plains School in the southeastern part of the city.
“Investigators have determined that the 33-year-old male is the sole person responsible for the deaths of the mother and child,” police said in a news release.
An autopsy on the man is scheduled for Tuesday.
Family members have identified the mother as Carolann Robillard and the child as Sarah Miller, who had recently started using the first name Jayden.
The Edmonton Medical Examiner determined this week that the woman and child both died of multiple sharp-force injuries, adding that the deaths are considered homicides.
Police say he was shot after an altercation with officers and the Alberta Serious Incident Response Team is investigating.