Final answer:
A linear transformation maps certain objects into other objects, and the linearity property allows us to use specific properties and operations to find the results.
Step-by-step explanation:
The question is asking about a linear transformation that maps a certain object, u, into a certain object, and also maps another object into another object. The fact that the transformation is linear allows us to use certain properties and operations to find the desired results. In order to give a specific answer, we would need more information about what objects are being mapped and what the linear transformation does to them.