a Women's preferences Men s preferences M1 W2 W3 W1 W4 M2 W1 W3 W2 W4 M 3 W1 W2 W3 W4 (b) (8 points) See whether the Gale-Shapley Algorithm, where men propose to women, will result in a stable matching for this asymmetric example. Specically, nd the result of the algorithm and prove why the obtained matching solution is stable or unstable