Suggested answer for Exercise 3

In sentence (1) the verb likes takes two DPs, one is the subject DP my colleagues, that contains the possessive pronoun my, which is analysed as DP. The object DP the idea that the researchers invented the most dangerous weapon ever been made contains the noun idea that has a sentential complement, a subordinate clause and is preceded by a determiner. The subordinate clause is lexically headed by the verb invent whose two arguments are the subject DP the researchers and the object DP the most dangerous weapon ever been made.

In sentence (2) the verb hate is a two-place predicate, that has two DP arguments, the subject some students who study linguistics whose lexical head is the noun student which is modified by a relative clause and the object DP parasitic gaps. The relative clause contains two DPs, the relative pronoun who and the object DP Linguistics of the lexical head study of the clause.

In sentence (3) there is the subject DP one very good reason for giving her a second chance, whose lexical head reason takes a non-finite sentential complement that contains two DPs, the indirect object pronoun her and the direct object DP a second chance. The verb is links the subject DP to the that clause, in which there are four DPs, the subject pronoun she, the object DP of the verb do, a very good job and two DPs in two adjunct PPs, two years and Paris.