Student or Learner
They put an end to this CASE or MATTER? ---which is better?
A "case" is likely to be more official - like an enquiry, a police case.
A "matter" can be something trivial.
The police found their only suspect hanged in his cellar. This put an end to the case.
Stop arguing. Mum said we're watching "The Simpsons". That's put an end to the matter.