I may sometimes assign problems for extra credit. These problems are marked as "Bonus" and do not necessarily involve more theoretical knowledge of linear algebra, but from a personal point of view, they look "nicer". The bonus problems will always be graded. Credit will be given only for the complete and correct solution. Please mention the word "bonus" on the page with the solution, to make things easier for everyone.
HW 1: Due W September 12, 2007 in class
| Section 1.1 | # 2, 8, 12, 18, 23, 25 a,c,28,29, 32, 33,34 | | Bonus: # 46 | Section 1.2 | # 4, 5, 6, 11, 18, 20, 22, 24, 25, 26, 29, 31, 46, 47 | |
HW 2: Due M September 17, 2007 in class
| Section 1.3 | # 1-4, 10, 11, 12, 14, 16-19, 22, 23, 24, 27, 28, 29, 31, 36, 37, 55, 58, 60 |
| Bonus: # 62 |
HW 3: Due M September 24, 2007 in class
| Section 2.1 | # 1-3, 4, 6, 24-30, 32, 33, 37, 40, 43 |
| Section 2.2 | # 2-5, 6, 7, 8, 10, 12, 14, 17, 19-24, 26abce, 30 |
HW 4: Due M October 1, 2007 in class
| Section 2.1 | # 13, 14, 15 |
| Section 2.2 | # 35, 36, 37abc |
| Section 2.3 | # 1-10,13, 15, 16, 28, 30, 32, 35 |
| Section 2.4 | # 1-4, 10, 13, 26, 34, 36, 40, 44,45, 46, 65, 68, 71 |
HW 5: Due M October 8, 2007 in class
| Section 3.1 | # 1-10 (practice as you need), 12, 15-17, 20, 24, 25, 34, 35, 37, 39, 42, 43, 45, 50, 51 |
| Section 3.2 | # 1, 2, 5, 6, 7, 8, 9, 15, 34, 35, 36, 37, 39 |
| Bonus: # 38 |
HW 6: Due M October 22, 2007 in class
| Section 3.2 | # 42, 51, 53 |
| Section 3.3 | # 1-8 (practice as you need), 21, 23, 27, 31, 35, 36, 38, 56 |
| Bonus: # 47 | |
| Section 3.4 | # 1-4 and 15-18 (practice as you need), 10, 25, 26, 27, 37, 43, 45, 53, 56, 67, 71, 72, 77 |
HW 7: Due M October 29, 2007 in class
| Section 3.4 | # 59, 60 |
| Section 4.1 | # 6, 7, 11, 14, 18, 20, 23, 24, 25, 28, 34, 45 |
| Section 4.2 | # 8, 10, 14, 25, 40, 77 |
| Section 4.3 | # 2, 6, 11, 12, 13, 60, 62, 54, 64, |
HW 8: Due M November 5, 2007 in class
| Section 5.1 | # 2, 3, 10, 15, 16, 17, 23, 26, 28, 29, 31 |
| Section 5.2 | # 1, 2, 3, 4, 7, 9, 10, 11, 13, 14, 34, 35, 39, 43 |
| Notice: For the sets of vectors in problems with numbers less than 15 (from section 5.2)
please replace the requirements from the textbook with the following: "Using paper and pencil apply the Gram-Schmidt algorithm to find an orthonormal basis of the linear subspace spanned by the following vectors. Show all your work. Using the data you obtain while performing this algorithm find the QR factorization of the matrix having as columns these vectors" |
HW 9: Due M November 12, 2007 in class
| Section 5.1 | # 7, 8, 9, 35, 36 |
| Section 5.3 | # 1, 4, 27, 28, 31, 35, 36, 37, 44, 46+47 (these two will count as one!), 50 |
| Section 6.1 | # 1-12 (practice as much as you need), 16, 17, 18, 20, 25, 26, 29, 31, 32, 35, 36, 56, 57 |
| Section 6.2 | # 1-6 (practice as much as you need), 10, 12, 14, 15, 50 |
HW 10: Due W November 28, 2007 in class (!!Notice that this homework is due on a Wednesday!! )
| Section 6.2 | # 31, 45, 48 |
| Section 6.3 | # 11, 30, 31, 32, 35, 38 |
| Section 7.1 | # 5, 6, 7, 8, 9, 10, 14, 15, 16, 18, 19, 23, 34, 35, 38, 39, 40 |
HW 11: Due W December 5, 2007 in class (Updated Dec 3, 2007 )
| Section 7.1 | # 34, 36, 38, |
| Section 7.2 | # 1-6 (practice), 8, 9, 12, 15, 16, 20 |
| Section 7.3 | # 1-10 (practice as much as you need), 11, 16, 19, 20, 22, 27, 33, 37 |
| Section 7.4 | # 1-6 (practice as much as you need), 12, 18, 26, 32, 58, 59, 60 |
| Section 8.1 | # 1-6 (practice as much as you need), 7, 8, 9, 10 |
HW 12: These problems are meant to help you prepare for the last exam. You are not supposed to hand in solutions to these problems.
| Section 7.1 | # 50, 51, 53, 54 |
| Section 8.2 | # 1-6, 13, 24, 28, 29 |