4450/5500,
Spring 2026
Matrix
Theory
Conley
Syllabus
(snow-modified)
Formula
Sheet
Past Quizzes
Exam
1 Review Sheet
Exam
2 Review Sheet
Supplementary
Notes
Supplementary Problems
NOTE:
Because of the snow week, both midterm exams will be moved back one
week.
The new dates are Thursday, February 26, and Thursday,
April 9.
As
noted on the syllabus, the text for the course is Introduction to
Linear Algebra, ed. 6, by Strang; the section numbers below refer to
it.
The style of this book is conversational. In addition to
numerous examples, it contains many gems hidden in asides. Keep an
eye out for them!
Later in the course I will refer to the
supplementary notes and problems at the above links.
Here
are some additional free online references you might find
helpful:
Linear
Algebra Done Right, by Axler: this text is more theoretical and
rigorous than Strang.
(Strang is more suitable
for us because
Math 4450 has no proof-based prerequisites.)
Linear
Algebra Done Wrong, by Treil: I just love this book.
Final
Exam: Tuesday, May 5,
10:00-12:00
Practice
Problems for Quiz 11:
Supplementary
Problems 13-23
Practice
Problems for Quiz 10:
Section 7.1: 1, 2,
3, 4, 5, 12, 13, 15, 6
Recommendation:
do 6
last.
Here are some hints for it:
First, find the
SVD of A_2 in terms of that of A_1.
Second,
find the SVD of A_1.
This is difficult, but in the end everything simplifies.
As
you compute, write things
in
terms of the golden ratio, \gamma := (\sqrt{5} + 1)/2.
The
key property of \gamma is that \gamma^{-1} = \gamma – 1.
Exam
2: Thursday, April 2
9
(changed due to snow week)
Practice
Problems for Quiz 9:
Section 6.3: 22,
23, 25, 27, 31, 32, 36, 38
Supplementary
Problems 7, 8, 9, 10, 11
Practice Problems for Quiz
8:
Section 6.3: 2, 3, 6, 7,
39
Supplementary Problems 1, 2, 3, 4, 5,
6
Practice Problems for Quiz 7:
Section
6.1: 13, 14, 15, 19, 20, 26, 28, 32, 34
Section
6.2: 1, 2, 3, 7, 13, 18, 19, 22, 24, 26, 38
Practice
Problems for Quiz 6:
Section 5.1:
1
Section 5.2: 1, 14, 15
Section
6.1: 2, 3, 4, 5, 6
Exam
1: Thursday, February 19
26
(changed due to snow week)
Practice
Problems for Quiz 5:
Section 3.5: 1, 2,
3, 14
Section 4.1: 3, 11, 14, 21,
22
Section 4.2: 5, 7, 17, 20, 21,
31
Section 4.4: 18, 19, 22, 23
Practice
Problems for Quiz 4:
Section 3.1: 10a,
17b, 18
Section 3.2: 3, 4, 31B, 33, 36,
45
Section 3.3: 1, 4, 6, 27, 29
Section
3.4: 2, 26A
Practice Problems for Quiz 3:
Section
2.2: 1, 3, 16a, 17a, 31, 35, 37
Section 2.3:
5, 7, 14
Section 2.4: 13, 18c, 19
Practice
Problems for Quiz 2:
Section 1.3: 1, 2,
8, 10, 14, 21
Section 1.4: 2, 6, 7, 12, 13,
14
Section 2.1: 8, 9, 12, 13, 14, 16,
20
Practice Problems for Quiz 1:
Section
1.1: 1, 7, 11
Section 1.2: 4, 5, 7bc, 12