A search and rescue team has been sent to help the crew, and a flight safety commission of the Russian armed forces is also starting an on-site investigation into the incident, it said.
The Interfax news agency quoted a knowledgeable source as saying that an engine failure may have caused the crash.
The YAK-130, a subsonic two-seat advanced trainer aircraft, was originally developed in the early 1990s. It entered service with the Russian air force in 2009.
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