What nationality is the last name Matev or what country/Countries or what Origin is the last name Matev ?

Matev is likely to be a Bulgarian surname.

See:

https://en.wikipedia.org/wiki/Matev

Google it you fool

Surnames are words and words come from language origins not countries and never have a nationality...the language is likely to be Bulgarian

Possibly Slovakia, but there are too few records to tell. Again, like Logvis, I suspect it was something in a Cyrillic alphabet that suffered when it was written in a Latin one.