"All options are on the table," said Santa Fe District Attorney Mary Carmack-Altwies.
"No one has been ruled out at this point."
Baldwin was rehearsing a scene in the movie "Rust" in which he pulls the Pietta Long Colt .45 from a holster and fires towards the camera when the gun discharged.
Cinematographer Halyna Hutchins was shot in the torso. She died in hospital.
The bullet then lodged in the shoulder of director Joel Souza.
An investigation into last Thursday's fatal shooting has recovered 500 rounds of ammunition from the set in New Mexico, Sheriff Adan Mendoza told reporters, adding that detectives believe they were a mix of blanks, dummies and live rounds.
"We suspect there were other live rounds found on set," Mendoza said. "We're going to determine how those got there, why they were there, because they shouldn't have been there.
"I think there was some complacency on this set," he added.
Mendoza said Baldwin had been "co-operative", and said armorer Hannah Gutierrez Reed and assistant director Dave Halls had also been interviewed.
Halls handed Baldwin the weapon that killed Hutchins, using the phrase "cold gun" -- industry lingo for an inert firearm.
As the armorer on a movie set, Gutierrez Reed, 24, would have been responsible for supplying and keeping weapons safe on set, ensuring that they are accounted for at all times, and locked away when not in use.
Entertainment trade website The Wrap reported this week that crew members had been using the weapons just hours before Hutchins was killed.
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