Course: Linear Algebra I, Fall 2012

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/1011LinAlg
  https://ceiba.ntu.edu.tw/1011LinAlgEcon

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 202, 303, 304
  First meeting: September 21

Quizzes

• Quiz I - November 23
• Quiz II - December 7
• Quiz III - December 28

Exams

• Midterm I - Friday, October 26, 2012 (pdf, solutions)
• Midterm II - Friday, December 14, 2012 (pdf, solutions)
• Final - Wednesday, January 7, 2013 (pdf, solutions)

Contents

1. Vector spaces, basis, dimension
2. Linear transformations
3. Kernel, quotient, dual
4. Determinant
5. Eigenvalues, eigenvectors, diagonalization, triangularization

Homework

1. §1.2: 1, 10, 11, 12, 13, 20, 21, §1.3: 1, 6, 13, 19
2. §1.3: 28, 29, 30, §1.4: 1, 10, 12, 14, 15, §1.5: 1, 10, 13, 15, 17
3. §1.3: 31, §1.6: 1, 2, 7, 9, 10, 11, 12, 14 - 17, 20, 21
4. §1.6: 22, 23, 24, 26, 29 - 34, §2.1: 1, 6, 11 - 14
5. §1.6: 35, §2.1: 16, 17, 20, 24 - 32, 35, 36
6. §2.1: 40, §2.4: 2, 3, 14, 15, 17
7. §2.2: 1 - 5, 9, 11 - 14, §2.3: 1, 3, 9
8. §2.2: 15, §2.3: 11, 12, 16, §2.4: 1, 4, 6, 7, 9, 10, §2.5: 1, 2, 8, 10
9. §3.1: 1, 12, §3.2: 1, 2, 3, 5, 12, 15, §3.3: 1, 6, 10, §3.4: 1, 2
10. §3.2: 14, 17, 19, 21, 22, §4.1: 3, 5, 9, 10, 11, §4.2: 25
11. §4.2: 1 - 7, 30, §4.3: 1 - 3, 9 - 15
12. §4.3: 16, 19 - 22, 24, 28, §4.4: 1, §5.1: 1 - 4, 6, 7, 8
13. §5.1: 9 - 15, 17, 18, 19, 22 §5.2: 1, 2, 3, 7, 8
14. §5.1: 23 §5.2: 12, 13, 17, 18, 20, 21 §5.4: 2, 3, 4, 7, 16, 17, 18
15. §5.4: 23, 24, 25, 37, 38, 39, 42 §2.6: 1 - 4, 13 - 17 (hints)

Last updated on 2013.1.10.