Math ECE 276 Assignment3 Due: Monday, November 6. Nothing accepted after Tuesday, November 7. This assignment is worth 15 points, 10% off for being late. Note: You are to do all assignments in this course entirely by yourslf. You are not to get help from anyone else, except me. See me ifyou need help. Problem: Martha is a matchmaker. She likes pairing up men and women hoping they wll find romance together. At the moment Martha has five unmatched male friends Al Carl Egbert and five unmatched female friends Alice Caro Doreen Ellen She is going to pair up these five men and five women so that they will hopefully find happiness with their partners. In order to increase the chances of success she does the following. First she asks each of the men how much they desire each of the five women. She records their responses as a number from 1 to 10 with I low and 10 high. The results are as follows. Alice Barb Carol Ellen Al 10 Carl She stores these numbers in a matrix A as follows. Note that she is implicitly assigning each of the men a number from 1 to 5 so that Al is 1, Bob is 2. etc. Similarly she is assigning each of the women a number from 1 to 5 so that Alice is 1, Barb is 2, etc. She also asks cach of the women how much they desire each of the five men. Again she records their responses as a number from to 10. The results are Al Bob Carl Alice Carol Ellen She stores these numbers in a matrix B as follows. A possible pairing of the five men and five women corresponds to a permutation p of the numbers I through 5 so that man i is paired with woman p. For example, if Al is paired with Carol, Bob with