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The answer is the cerebellum is damaged.

the cerebellum lies below the cerebral hemispheres and behind the occipital trunk.
The cerebellar syndrome is the set of symptoms associated with the cerebellar disease. Many pathologies can be at the origin of these symptoms, of which the main ones are:
Ataxia, which is an alteration of motor coordination and balance. Different forms of ataxia exist such as static ataxia, which is manifested by a standing disorder, locomotor ataxia, which corresponds to a gait disorder, or kinetic ataxia, which translates into a disorder. voluntary gestures.

Hypotonia, which results in a decrease in muscle tone.Dysarthria, which is a dysfunction of the muscles controlling the voice and speech.Nystagmus, manifested by an involuntary oscillation of the eyeball.