Final answer:
In a strong matrix organization, the project manager has more power and authority than the functional manager. In a weak matrix, the functional manager has more decision-making authority.
Step-by-step explanation:
In a strong matrix organization, the project manager has more power and authority than the functional manager. This means that the project manager has greater decision-making authority and controls the project team. The functional manager, on the other hand, has limited authority over the project and focuses on their specific functional area.
Contrastingly, in a weak matrix organization, the functional manager has more decision-making authority than the project manager. The project manager's role is more focused on coordinating and facilitating the project, while the functional managers have more control over the project team.