MATH2040A/B  Linear Algebra II  2014/15
Announcement
 HW posted. No need to hand in your HW.
 Review on simple questions: Jan 29 Thu 7:30pm9pm LSB LT4
 Review on Midterm I :Feb 5 Thu 7:30pm9pm LSB LT4
 Midterm up to Lecture 8 Sect 1, Textbook Sect 1.3 to 2.4
 Office hr: Monday 2:30 to 4pm, Tue 4:15 to 5:45
 Tutorial ex 6 has been posted. If you decide not to attend tutorial, you can hand it in on Mar 2 Mon before 5pm. Instruction is given in the file. [Download file]
 Review: Mar 12 7:309:00pm LSB LT2
 Five set of questions for midterm II are posted. A review note will be posted.
 I reserve rooms MMW707 Mar 16 Mon, 3:305:00 and LHC G04 Mar 17 Tue 4:006:00. You can study in the classroom and I will be there in case your have qusetions. .
 You can also get help from mathgym Mathgym website
 A study guideline has been posted [Download file]
 Tutorial ex 12 has been posted. Students from Tue TA session can hand it in on Thu. [Download file]
 Final review [Download file]
 Final review (printable version, same as the powerpoint version above) [Download file]
 Final computational exercises [Download file]
General Information
Lecturer

Charles Li
 Office: LSB218
 Tel: 39437974
 Email:
Teaching Assistant

Cho Ki Kit Edward
 Office: Room 233, LSB
 Tel: 3943 7956
 Email:

Zuo Cheng
 Office: Room 222C, LSB
 Tel: 3943 8570
 Email:

Gu Dalin
 Email:
Time and Venue
 Lecture: 2040A: Tu 2:304:15 YCL G04, Th 12:301:15 LSB LT2, 2040B 12:301:15 LSB LT5, 2:304:15 LSB LT5
Course Description
This is a continuation of MATH1030. Topics include: linear mapping and its matrix representation, eigenvalues and eigenvectors, inner product spaces, GramSchmidt process, Jordan canonical forms.
Textbooks
 Friedberg, Insel, Spence, Linear Algebra, 4th edition, Prentice Hall
Lecture Notes
 Lecture 0: class info
 Lecture 1: Vector space
 Lecture 2: Subspace
 Lecture 3: Linear combination
 Lecture 4: Linear dependence
 Lecture 5: Basis
 Lecture 6: Linear transformatoin
 Lecture 7: Matrices and Linear transformations
 Lecture 8: Standard representation and change of coordinates
 Summary about notation [T]
 Lecture 9: Diagonalization
 Lecture 10: Diagonalization II
 Lecture 11: Diagonalization III
 Lecture 12: Direct Sum
 Lecture 13: Invariant subspace, Tcyclic subspace, CayleyHamition theorem
 Lecture 13: computational example on Tcyclic subspace
 Lecture 14: Inner product space
 Lecture 15: GramSchmidt orthogonalization
 Lecture 16: Adjoint
 Lecture 17: Normal and Selfadjoint operators
 Lecture 18: Unitary and orthogonal operators
 Lecture 19: projection, spectrum theorem
Tutorial Notes
 Tutorial ex 1
 Tutorial ex 1 answer
 Tutorial ex 2
 Tutorial ex 2 answer
 Tutorial ex 3
 Tutorial ex 3 answer
 Tutorial ex 4
 Tutorial ex 4 answer
 Tutorial ex 5
 Tutorial ex 5 answer
 Tutorial ex 6
 Tutorial ex 6 answer ( Q5c has a typo, fixed)
 Tutorial ex 7
 Tutorial ex 7 answer
 Tutorial ex 8
 Tutorial ex 8 answer
 Tutorial ex 9
 Tutorial ex 9 answer
 Tutorial ex 10
 Tutorial ex 10 answer
 Tutorial ex 11
 Tutorial ex 11 answer
 Tutorial ex 12
 Tutorial ex 12 answer
 Tutorial ex 13
 Tutorial ex 13 answer
 Formula table for ex 11
Assignments
 HW1: Sect 1.2 Q13, 17, 19, 20, 21
 HW2: Sect 1.3 Q14, Q19, Q22, Q23, Sect 1.4 Q10, Q13, Q15, Q16
 HW3: Sect 1.5 Q15, 16, 19, Sect 1.6 Q12, 17, 21, 23
 HW4: Sect 1.6 Q29, 31, Sect 2.1 Q14, 17, 18, 20, 26
 HW5: Sect 2.2 Q11, Q13, Q16, Sect 2.3 Q11, Q12, Q16 Sect 2.4 Q16, Q20, Q21
 HW6: Sect 2.5 Q8, Q13, Sect 5.1 Q8a, b, Q9, Q11, Q15
 HW7: Sect 5.1
 HW8: Sect 5.2
 HW9: Sect 5.4
 Sect 6.16.6
Quizzes and Exams
 Review on Jan 29: simple exercises
 2014 Midterm I
 2014 Midterm I soluton
 Midterm I review
 Midterm I more sample questions
 2015 Midterm 1
 2015 Midterm I solution
 Midterm II Exercise 1 (with solution)
 Midterm II Exercise 2 (with solution)
 Midterm II Sample 1
 Midterm II Sample 1 Answer
 Midterm II Sample 2
 Midterm II Sample 2 Answer
 Midterm II Sampe 3 (important typo: for Q5 (b), add "U is diagonalizable")
 Midterm II Sampe 3 Answer
 Midterm II Study Guidline
 Midterm II review
 Midterm II review printable version (same as the above version)
 2015 Midterm II
 2015 Midterm II Answer
 Fianl review
 Final review printable version (same as the above version)
 Final computational exercises
 Table for operators
Solutions
 HW1 Solution (reference only)
 HW2 Solution (reference only)
 HW3 Solution (reference only)
 HW4 Solution (reference only)
 HW5 Solution (reference only)
 HW6 Solution (reference only)
 Solution for the textbook Sect 1.3 (reference only, last updated: Jan 31)
 solution for the textbook Sect 1.4 (reference only, last updated: Jan 31)
 Solution for the textbook Sect 1.5 (reference only, last updated: Jan 31)
 Solution for the textbook Sect 1.6 (reference only, last updated: Jan 31)
 Solution for the textbook Sect 2.1 (reference only, last updated: Jan 31)
 Solution for the textbook Sect 2.2 (reference only, last updated: Jan 31)
 Solution for the textbook Sect 2.3 (reference only, last updated: Jan 31)
 Solution for the textbook Sect 2.4 (reference only, last updated: Feb 7)
 Textbook Sect 2.5, 5.1, 5.2, 5.4 Questions
 Solution for the textbook Sect 2.5 (reference only, last updated: Feb 25)
 Solution for the textbook Sect 5.1 (reference only, last updated: Feb 25)
 Solution for the textbook Sect 5.2 (reference only, last updated: Feb 25)
 Solution for the textbook Sect 5.4 (reference only, last updated:Mar 5)
 Text Sect 6.1  6.6 Exerciese (printout given during class)
 Solution for the textbook Sect 6.1 (reference only, last updated: April 1)
 Solution for the textbook Sect 6.2 (reference only, last updated: April 1)
 Solution for the textbook Sect 6.3 (reference only, last updated: April 1)
 Solution for the textbook Sect 6.4 (reference only, last updated: April 1)
 Solution for the textbook Sect 6.5 (reference only, last updated: April 1)
 Solution for the textbook Sect 6.6 (reference only, last updated: April 1)
Assessment Scheme
Tutorial: You have to attend at least 8 tutorials session. Each tutorial accounts for 1pt.  8%  
Midterm 1: Feb 10 Tue 7:30  9:30 pm LSB LT1  18.5%  
Midterm 2: Mar 17 Tue 7:30  9:30 pm LSB LT1  18.5%  
Final  55% 
Last updated: April 16, 2015 14:11:03