Geometric Transformations

Finding a Matrix--Solutions continued

We can substitute in a known vector and its transformed result to solve the equations. In this case, for instance, becomes . Substituting these examples gives us
Solve for two of the variables, say a and c. Choose another known vector example, and substitute in to solve for the other two. Keep doing this until you get unambiguous results for a, b, c, and d.
Works best if points are of the form and .
Try these two methods out for b).