Consider the following two models of Romeo and Juliet's love: I. ′ = -3 - 2 ′ =-2-3 II. ′ = - 4 ′ = 4 - In each case: (a) What romantic styles do Romeo and Juliet fall into? (b) Work out eigenvalues and eigenvectors to arrive at a general solution for the model. (c) Sketch a phase portrait of the model. (d) Interpret what happens in terms of Romeo and Juliet's relationship. (Do people with the same romantic styles necessarily attract?)