4450/5500,
Spring 2024
Matrix
Theory
Conley
Syllabus
Review
Sheet
Supplementary
Notes
Supplementary
Problems
Final
Exam: Tuesday, May 7,
10:30-12:30
Exam 2: Thursday, April 4
Problem
Set 12,
due Thursday,
May
2, the last class day:
Supplementary
Problems 24-33
Problem
Set 11, due Tuesday, April 23:
Supplementary
Problems 13-23 (22 & 23 are optional)
Problem Set 10,
due Tuesday, April 16:
Section 7.1: 1,
2, 3, 4, 5, 6*, 12, 13, 15
Hints
for 6, which is optional:
For A_1, write
everything in terms of the golden ratio, \gamma := (\sqrt{5} +
1)/2.
The problem is difficult, but in the end
everything simplifies.
For A_2, find the SVD
of the block matrix (A A) for arbitrary A.
Problem
Set 9, due Tuesday, April 2:
Section
6.3: 10, 21, 22, 23, 25, 27, 31, 32, 36, 38, 49*
Supplementary
Problems 7-12
Problem Set 8, due Tuesday, March
26:
Section 6.3: 2, 3, 4, 7,
39
Supplementary Problems 1-6 (6 is
optional)
Problem Set 7, due Tuesday, March
19:
Section 6.1: 13, 14, 15, 19, 20, 26,
28, 32, 34*
Section 6.2: 1, 2, 3, 7, 13, 18,
19, 22, 23*, 24*, 26*, 38*
Problem Set 6, due Tuesday,
March 5:
Section 4.5: 1, 5
Section
5.1: 1
Section 5.2: 1, 14, 15
Section
5.3: 4*, 5, 6a, 11*, 12*, 13*
Section 6.1: 2,
3, 4, 5, 6
Exam
1: Thursday, February 22
Problem
Set 5, due Tuesday, February 20:
Section
4.1: 3, 11, 14, 21, 22
Section 4.2: 5, 7, 17,
20, 21, 31
Section 4.4: 18, 19, 22,
23
Problem Set 4, due Tuesday, February 13:
Section
3.2: 33, 36, 45
Section 3.3: 1*, 4, 6, 27,
29
Section 3.4: 2, 26A
Section
3.5: 1, 2, 3, 14, 27*
Problem Set 3, due Tuesday, February
6:
Section 2.3: 5, 7, 14
Section
2.4: 13, 18c, 19
Section 3.1: 10a, 17b,
18
Section 3.2: 3, 4, 31B (Problems
33A, 36, 45 are postponed to the next problem set.)
Problem
Set 2, due Tuesday, January 30:
Section
2.1: 8, 9, 12, 13, 14, 16, 20*
Section 2.2: 1,
3, 16a, 17a, 31, 35, 37
Problem Set 1, due Tuesday,
January 23:
Section
1.1: 1, 7, 11*
Section 1.2: 4, 5, 7bc,
12
Section 1.3: 1, 2, 8, 10, 14, 21
Section
1.4: 2, 6, 7, 12, 13, 14