This is a very strange question. In order to be a matriculant, you
must first apply, be offered admission, and then formally accept the offer
and register for classes. So for an application for to ask if you are
"applying as a matriculant" is pretty confusing, even to a native speaker
of English like me. There are two explanations I can think of:
1. They are asking if you are currently, or were formerly, a student at
their university. For example, if you are currently studying an MS in
Finance at the same university where you are applying for an MBA, you
could say you are applying for an MBA as a matriculant.
2. In some old universities they have special definitions of "matriculant"
that are not used elsewhere. For instance there are some Canadian
universities where "matriculant" means you are taking courses for credit
and "non-matriculant" means you are only auditing. Your second post
sounds like this might be the case. | 
