Honors Linear Algebra, Math 2270-3, Fall 2017

Comments and Suggestions
Any comments and suggestions about this class are greatly appreciated! You may either talk to me, or email me at
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Announcements:

(12/7) You can pick up 4th midterm exam (and solutions) on Friday, 8th Dec, between noon and 13:00 from Y.P.'s office JWB 305.
(12/6) The final exam is set on Monday, Dec 11, 6-8PM in the same room.
(12/4) There will be a problem on explicit computation of Jordan normal form in the fourth midterm exam, roughly at the same level of difficulty as problems in the PDF file below.
(12/1) A computational strategy of Jordan Normal Form can be found here.
(11/27) The class has decided to have the 4th midterm exam on Wednesday, 6th Dec (the last day of the class).
(11/6) The third midterm is set on Wednesday 15th Nov.
(10/25) The third midterm exam will be moved to a later date.
(9/24) The second midterm exam is set on Wednesday, 4 Oct, during the usual class time.
(9/8) The first midterm exam is set on Wednesday, 13 Sep, during the usual class time.
(9/1) The direct product of vector spaces U and W, of dimensions r and s respectively, should have dimension r+s. A basis should look like {(u_i, 0), (0, w_j) } with i between 1 and r and j between 1 and s. (Please email me if there is any question.)
(8/30) The scanned pdf of Gaussian elimination.
(8/3) This is an honors, PhD-track class and requires permission code, which can be requested easily at mathematics department homepage. Please email me or see me in my office if there is any question about the class. In particular, if there is any problem of getting the textbook in time, please let me know.

HW:

Problems will be posted after each lecture. Always read the textbook and lecture notes!
(Due 8/28) Sect 1.1: 1-5, 9-13. Sect 1.2: 1(a,c,e,g), 3-4, 5(a,c,e,g,i), 7-10.
(Due 9/6) Sect 1.4: 1-4. (Review Chapter 1.) Sect 2.1: (matrices) 2, 4, 5, 8, 10; (dimensions) 1-2. Scanned PDF: #15, 16.
(Due 9/11) Sect 2.2: 1-2 Sect 2.3: 1, 3(c), 4, 8, 11, 17-19, 21, 35.
(Due 9/25) Sect 3.2: 1(a-d), 2, 4. Sect 3.3: 3-10. Sect 3.4: 2, 7. Sect 4.2: 1, 2(a,b,c), 6.
(Due 10/2) Sect 4.3: 1, 2. Sect 5.1: 2, 3. Sect 5.2: 0-6, 9.
(Due 10/30) Sect 5.3: 1(a,c,e,g), 2, 4(b,d), 5(b,d), 6. Sect 5.4: 1-4. Sect 5.5: 1(a), 2. Sect 5.6: 2-6. Sect 6.2: 1, 2. Sect 6.3: 2(a,i), 3, 5.
(Due 11/6) Sect 6.4: 1(a,c). Sect 6.5: 2 . Sect 6.7: 1-3. Sect 6.8: 1(a,c,e), 2-4. Sect 6.9: 1, 3, 5.
(Due 11/13) Sect 7.1: 1, 2, 6, 7. Sect 7.2: 2, 5, 9. Sect 7.3: 1, 2, 3(b), 4(c), 6, 7. Sect 8.1: 1-4, 7. Sect 8.2: 2, 4(a,c), 8 (d,f), 9-13. Sect 8.3: 2(a), 3.
(Due 11/27) Sect 8.4: 1, 3, 5, 6, 9(a,c,e), 21. Sect 8.5: 1. (Please also work on problems in 10.1, 10.2 below, but don't turn them in.)
(Due 12/4) Sect 10.1: 1, 2, 4, 6. Sect 10.3: 1, 2. Sect 11.1: 1(a,b), 2, 3. Sect 11.2: 1, 3, 4. Sect 11.3: 1, 2, 4, 5, 6, 15. Sect 11.4: 1, 2, 3. Sect 11.5: 1, 2, 5. Sect 11.6: 1-4.

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