a: Do you love me?
b: I love (you is omitted)
In this case, can we regard "love" as a transitive verb? or intransitive?
a: Do you love me?
b: I love (you is omitted)
In this case, can we regard "love" as a transitive verb? or intransitive?
There are really two issues here.
Intransitive love is not unknown. It's used to express the notion of being 'in love' or having the capacity to love, mostly in literary and theological rather than colloquial contexts. One of the most famous lines in English poetry is
Who ever loved that loved not at first sight?
However I love as a response to Do you love me? is not idiomatic. An ordinary 'lexical' verb isn't ordinarily used to Code (stand for) the entire predicate it heads; only auxiliary verbs are used that way. When there's no auxiliary in the contextual or implied matrix construction, tag questions and brief responses like this employ do support, just like ordinary questions and negatives: we use do as a sort of dummy auxiliary.
Do you love me? —I do.
You love me, don't you?