Engaging a disengaged team often involves understanding individual team members' perspectives and addressing any concerns they may have. One-to-one meetings can provide a safe space for team members to express their thoughts and feelings without the pressure of a group setting. Additionally, team-building meetings can help in building rapport, trust, and a sense of community within the team, which are essential for engagement and collaboration. This approach aligns with the PMBOK Guide's emphasis on the importance of effective team management and stakeholder engagement.
: The answer is verified and explained using the principles found in the PMBOK Guide and the Professional in Business Analysis Reference Materials provided by PMI12.

The project manager should mentor the team member and provide the necessary training because this is the best way to help the team member overcome the difficulty and deliver the expected results. Self-organizing teams are empowered to make decisions and collaborate with each other, so the project manager should act as a facilitator and coach rather than a directive leader. The other options are not the best choices because they do not address the root cause of the problem, which is the lack of knowledge or skills in the new technology.
Requesting the team member to move to another team (option A) may demotivate the team member and create resentment. Delegating other team members to complete this team member's tasks (option B) may overload the other team members and reduce the team cohesion. Including this team member in an improvement program through a human resources request (option D) may imply that the team member is underperforming and needs to be disciplined, which may lower the team member's morale and confidence. References: PMBOK Guide, 6th edition, pages 18, 52, 273, 335. Free PMP Practice Exam Questions - 120 Sample Test Questions. PMI PMP Quiz:82 Topic:3 Questions:406-410.

In a matrix organization, it's crucial for a project manager to facilitate collaboration among team members with varying levels of experience. When disagreements on the solution approach arise, finding a compromise that incorporates the strengths of both perspectives can lead to a more robust and reliable solution. This approach encourages mutual respect, leverages diverse expertise, and aligns with the principles of conflict resolution and team management as outlined in the PMBOK Guide1.
:
PMBOK Guide - Sixth Edition and Agile Practice Guide (Project Management Institute, 2017).
Conflict Resolution in Project Management: Using the Thomas-Kilmann Conflict Mode Instrument in a Hybrid Project Environment (Project Management Institute, 2019)2.
The Role of the Project Manager in a Matrix Organization (Project Management Institute, 2020)3.

The project manager should first revisit the project charter and assess if the project goals and objectives can be met with other alternatives. This could include re-evaluating the project requirements, researching other suppliers and/or re-designing the project in order to reduce the cost. If all other alternatives are exhausted, then the project manager should seek approval from the project sponsor or the CEO to proceed with the purchase order.