# Linear Algebra and Matrix theory

Meetings: LOM 205, TThu 9-10.15am; Office hours TTH Dunham lab 454 10.15- 11.30;  First class: Thursday, Aug 29.

TA: Senia (arseniy.sheydvasser@yale.edu); Sections: MW: 6-7.30.

Text book: G. Strang, Linear Algebra and Applications.

Grading: HW 20%, Midterm 30%, Final 50%.

HW policy: There is a set of HW every week (12 sets all together). Solution is due Thursday of the week after. Each set is worth 10pts and we will select the 10 best grades. Submit HW at the end of Thursday class to Senia (TA).

Week by Week schedule (will be modified slightly during the term).

(1) Thursday 29, Sept 3, 5: Chapter 1.

HW1 (due Sept 12, bring to class): 1.2: 5,8; 1.4: 3,  26, 44;  1.5: 21, 27; 1.6 : 6,  14; 1.7:  7. (1.2 refers to Problem set 1.2)

Suggested exercises (you do not to submit the solutions to the ones below, but working on them is useful): 1.4: 27, 32; 1.5: 11, 13 , 21;  1.5: 17, 40; 1.6: 4, 18; 1.6: 51; 1.7: 2,6.

(2) Sept 10, 12: Chapter 2.

HW2 (due Sept 19)  The problems are from the grey book. Sania will scan the pages and send to you, in case you have the other book.

2.1: 4, 22, 26; 2.2: 24, 33;  2.3: 26; 2.4: 27, 38.

Suggested exercises: 2.1: 2, 14, 29; 2.2: 2, 9, 30; 2.3: 5, 14, 32; 2.4: 26.

(3) Sept 17, 19: Chapter 2-3

HW 3 (due Sept 26) 2.6: 7, 41, 35; 3.1: 21; 3.3: 5,  19, 21.

Suggested: Review Exercises of Chapter 2: 2.1, 2.3, 2.13, 2.30; 3.2: 5, 10, 13, 15; 3.3: 18, 41.

(4) Sept 24, 26: Chapter 3.

HW 4 (due Oct 3)  3.3: 2, 4, 28; 3.4: 6, 16,  20, 32,

Suggested: 3.3:  23, 27, 31; 3.4: 4, 5, 9, 31, 28, 23, 29.

(5) Oct 1: Chapter 3. Oct 3: Midterm.

(6) Oct 8, 10: Chapter 4.

HW 5 (due Oct 17) 4.2: 1,  5, 13, 15,  27, 35;

Suggested: 2,4, 6, 24, 19, 26, 28, 29, 34.

(7) Oct 15, 17: Chapter 4-5.

4.3: 3,5, 11, 19; 4.4: 5, 9, 31, 41; 5.1: 5, 9, 17, 19.

Suggested: 4.3: 7, 23, 36; 4.4: 7, 11, 22, 23, 41; review exercises of Chapter 4. 5.1:8, 13.

No class on Oct 22.

(8) Oct 29, 31: Chapter 5

5.1: 5, 9, 31; 5.2: 3, 7, 13, 33; 5.3: 9, 15,  19.

Suggested:  5.1: 6,7, 10, 11, 26, 29, 39; 5.2:  11,  34, 35, 40;  5.3: 14,  18.

(9) Nov  5,7 : Chapter 5; random walks and pagerank

For a more detailed discussion on page rank algorithm, see this link. (or google “page rank” :=))

5.3: 1, 8,  11, 12,  Problem 3,4 in the above link.

(10) Nov 12, 14: Chapter 6

6.1: 3, 7, 21; 6.2: 1, 9, 13, 39.

Suggested: 6.1: 14, 19,  22; 6.2: 12, 15, 16, 24, 35, 40.

(11) Nov 19, 21:  Chapter 6

6.2:  13; 6.3: 1, 3, 11, 13, 15.

Suggested: 6.2: 2, 6,  9, 10, 12, 18.

(12) Dec: 3,5:  FFF, Review.

3.5: 1, 3, 4, 7, 13, 19.

Suggested: 3.5: 5,6, 8, 15, 17, 18.

FINAL: Dec 16.