SOLVED EXERCISES

 For your convenience, here are some solved even exercises. Click on the links at the left to see the solutions.  Please note that the problem numbers may differ depending on what edition of the text you are using! (However, though the numbers may differ, the actual problems are the same.)

 Solved even exercises Third Edition Fifth Edition Sixth Edition Seventh Edition 1.1:  2, 6, 16, 18, 20 1.1:  2, 6, 14, 18 1.1:  2, 6, 14, 18 1.1:  2, 6, 12, 28 1.2: 18, 36,42, 44 1.2: 16, 28, 32, 40 1.2: 18, 32, 36, 46 1.2: 14, 33, 38, 42 2.1: 4, 16, 24, 26 2.1: 4, 12, 18, 30 2.1: 4, 14, 18, 40 2.1: 8, 23, 30, 56 2.2: 12, 20   2.3: 22, 36 2.2: 12, 20   2.3: 10, 14, 32 2.2: 10, 20   2.3: 10, 14, 34 2.2: 16, 34   2.3: 14, 18, 42 Solutions 3.1: 20, 32, 33, 38, 42   3.2: 28 3.1: 20, 28, 30, 46   3.2: 30 3.1: 20, 28, 30, 46   3.2: 38 3.1: 20, 28, 32, 42   3.2: 36 3.3: 18, 28 3.3: 20, 28, 32, 36 3.3: 24, 32, 42, 46 3.3: 22, 34, 52, 54 4.1: 20, 24, 32, 50   4.2: 18, 20, 22, 30, 34 4.1: 8, 20, 26, 36, 50   4.2: 18, 20, 22, 30, 34 4.1: 18, 30, 36, 48, 64   4.2: 19, 24, 26, 34, 38 4.1: 8, 30, 34, 46, 62   4.2: 22, 26, 30, 43, 47 4.3: 4, 6, 12, 16, 25 4.3: 4, 6, 12, 16, 26 4.3: 4, 6, 16, 32, 42 4.3: 4, 6, 18, 38, 54 4.4: 16, 26, 36, 38, 56 4.4: 16, 26, 36, 38, 56 4.4: 22, 32, 42, 48, 66 4.4: 26, 28, 38, 47, 70 4.5: 4, 16, 34, 40, 48 4.5: 4, 18, 38, 44, 52 4.5: 5, 27, 54, 64, 72 4.5: 5, 27, 58, 66 Also: Show {(1,4,7),(3,0,1),(2,1,2)} is a basis for R^3. Then write u = (8,3,8) as a linear combination of the basis elements. 4.6: 2, 8, 12, 34 4.6: 2, 8, 12, 18, 36 4.6: 3, 10, 20, 28, 50 4.6: 18, 20, 23, 32, 57 Solutions 4.7: 6, 8, 14, 28, 31 4.7: 6, 8, 14, 30, 36 4.7: 6, 8, 14, 36, 46 4.7: 10, 12, 18, 44, 54 6.1: 4, 8, 38, 48 6.1: 4, 8, 18, 38, 50 6.1: 4, 12, 26, 56, 64b 6.1: 4, 11, 27, 56, 75b 6.2: 4, 18, 26, 38, 48   6.3: 4, 26, 32, 34, 46 6.2: 4, 18, 26, 38, 46   6.3: 4, 30, 36, 38, 50 6.2: 8, 24, 32, 44, 52   6.3: 4, 40, 48, 51, 66 6.2: 7, 28, 32, 52, 46   6.3: 4, 27, 35, 33, 44