2. Find the eigenvalue and eigenvector using arithmetic and geometric means. Compare with the SAS IML outputs R R2 R3 R4 R123 R234 R1234 R 1 1/3 1/5 1/3 1/3 1/3 1/7 R2 3 1 1/3 1 1/3 1/3 1/3 R3 5 3 1 1/3 1/5 1/3 1/3 1/5 R4 3 1 3 1 1/3 1/3 R123 3 3 5 3 1 1 1/5 1/3 R234 3 3 3 3 1 1 R1234 7 3 3 5 5 3 1 3. Find the three candidates of Moverall, which one is better of the above table? 4. Using the best of overall from the above to develop the plots of the Choquet integrals of the following world leaders: Leader DT XP AC Risk 1 62.2% 72.9% 25.1% 56.3% 54.2% Risk 2 36.5% 79.0% 39.0% 86.3% 55.1% Risk 3 28.6% 30.9% 57.6% 66.1% 1.5% Risk 4 74.1% 77.3% 94.0% 13.2% 19.3% OD OM 2. Find the eigenvalue and eigenvector using arithmetic and geometric means. Compare with the SAS IML outputs R R2 R3 R4 R123 R234 R1234 R 1 1/3 1/5 1/3 1/3 1/3 1/7 R2 3 1 1/3 1 1/3 1/3 1/3 R3 5 3 1 1/3 1/5 1/3 1/3 1/5 R4 3 1 3 1 1/3 1/3 R123 3 3 5 3 1 1 1/5 1/3 R234 3 3 3 3 1 1 R1234 7 3 3 5 5 3 1 3. Find the three candidates of Moverall, which one is better of the above table? 4. Using the best of overall from the above to develop the plots of the Choquet integrals of the following world leaders: Leader DT XP AC Risk 1 62.2% 72.9% 25.1% 56.3% 54.2% Risk 2 36.5% 79.0% 39.0% 86.3% 55.1% Risk 3 28.6% 30.9% 57.6% 66.1% 1.5% Risk 4 74.1% 77.3% 94.0% 13.2% 19.3% OD OM