Police in Washington are reviewing the actions taken by officers during the car chase on Capitol Hill.
The family of Miriam Carey says police were unjustified in shooting and killing her because she was unarmed.
The investigation is expected to reconstruct Thursday's car chase and shooting.
Carey was killed after ramming a White House barrier and then leading authorities on a high-speed chase that ended near the Capitol Building.
Her 1-year-old child was in the car but was unharmed.
Multiple law enforcement agencies, including the Secret Service, are investigating the incident.
Capitol Police Chief Kim Dine says his officers acted "heroically'' to protect the community.
Relatives in Brooklyn say Carey was being treated for postpartum depression, but they said that she was using her medication and was able to go ahead with daily activities.