Course: Linear Algebra II, Spring 2013

Basic Information

• Instructor and TAs:
  余正道 (jdyu [at] math.ntu.edu.tw, Astro-Math 461), 陳彥霓 (yeannee86 [at] gmail.com)
  劉宇翔 (r01221008 [at] ntu.edu.tw), 謝函恩 (firstshiva [at] hotmail.com)
• Lectures:
  Wednesday and Friday, 10:20AM - 12:10PM at 新生大樓 303
• Textbook:
  Friedberg, Insel and Spence, Linear algebra, 4th edition
• NTU course website (where you can find some extra information):
  https://ceiba.ntu.edu.tw/1012LinAlg
  https://ceiba.ntu.edu.tw/1012LinAlgEcon

Office Hours

• [JD] Thursday, 4:30-5:30pm (or by appointment) at Astro-Math 461
• [陳彥霓] Friday, 1:20-2:10pm at Astro-Math 543
• [劉宇翔] Thursday, 3:30-4:20pm at Astro-Math 446
• [謝函恩] Friday, 1:20-2:10pm at Astro-Math 439

TA sessions

• Fridays, 11:20am - 12:10pm at 新生大樓 201, 303, 502
  First meeting: March 1

Quizzes

• Quiz I - March 22 (pdf)
• Quiz II - May 3 (pdf)
• Quiz III - May 17 (pdf)

Exams

• Midterm I - April 12 (pdf, solutions)
• Midterm II - June 7 (pdf, solutions)

Contents

1. Jordan and rational canonical forms
2. Spaces with (inner or Hermitian) product structure
3. Bilinear and quadratic forms
4. Supplementary: Multilinear algebra
   References
• Knapp, Chapter VI of Basic algebra. 2006. [Use language of categories]
• Lawson, Chapter 9 of Course notes in Differential Geometry. 2006. [Only work over R]

Homework

1. §5.2: 10, §5.4: 36, 40, 41, §7.1: 6
2. §5.2: 23, §7.1: 7, 13, §7.2: 3, 11, 12, 13, 19
3. §7.1: 1, 4, 5, 9, 10, §7.2: 1, 2, 6, 7, 10, 14, 16
4. §5.3: 20, 23, §7.1: 2, 3, §7.2: 4, 5, 8, 17, 18. (Just for fun: §7.2: 20, 22, 23, 24)
5. §5.4: 1, 6, 9, 11, 13, 14, 20, §7.4: 5, 9
6. §7.3: 1, 2, 5, 8, 9, 10, 14, 15, §7.4: 1, 2, 4, 6
7. §6.1: 1 - 5, 8 - 11, 13, 17, 18
8. §6.1: 12, 14, 15, 16, 19, 20, 22, §6.2: 1 - 6, 9, 13, 14
9. §6.1: 23, 28, 29, §6.2: 10, 11, 12, §6.3: 1 - 3, 7 - 10, §6.4: 1, 6
10. §6.2: 19, 20, 22, §6.3: 15, 17, 18, 20, §6.4: 2, 7, 8, 9, 11, §6.5: 1 - 4
11. §6.4: 12 - 15, 17, 18, 19, §6.5: 7, 9, 11, 13, 14, §6.6: 1, 2, 4, 5, 6
12. §6.4: 20 - 23, §6.5: 15, 21, 31, 32, §6.7: 1 - 4, 9, §6.11:1, 3, 10, 11
13. §6.7: 11, 13 - 16, §6.8:1, 4, 7, 8, 14, 17, 24, 25, 26

• Some solutions for assignments 1 ~ 3
• Some solutions for assignments 4 ~ 6
• Some solutions for assignments 7 ~ 9
• Some solutions for assignments 10 ~ 12

Last updated on 2013.6.7.