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