Use inverse matrices to solve the system of linear equations. 
Definitions:
Transactional Leadership
A leadership style focused on the exchange process between leader and follower, where rewards or punishments are contingent upon performance.
Self-interest
Acting in a way that is beneficial to oneself, often guiding individual motivations and actions.
Benefits
Advantages or positive outcomes that accrue from a particular course of action or policy.
Transformational Leadership
A style of leadership where a leader works with teams to identify needed change, creating a vision to guide the change through inspiration, and executing the change in tandem with committed members of the group.
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