Final answer:
In a responsibility matrix, the IT department's role for researching software options would be classified as 'Researcher,' while the customer would be the 'Approver' of their choice.
Step-by-step explanation:
In the context of a responsibility matrix for the project that requires new software, the IT department would be categorized mainly as the 'Researcher' since they are tasked with researching options to identify the best solution that works with the project and existing infrastructure. The customer is the 'Approver' as they have the final say on the IT department's choice. It is important to correctly identify roles such as Decision-Maker, Researcher, Approver, and Implementer to ensure clear responsibilities and smooth progression of the project tasks.