
Course information
Course title: Matrix algebra
Meeting times: TTh (5:356:50pm)
Meeting place: HW411
Office hours: Tuesday at 45pm in HE924
Textbook: Leon, "Linear Algebra with Applications"

Exam dates
First midterm: Tuesday, October 7 (pdf)
Second midterm: Thursday, November 13
(pdf)
Final exam: Takehome Tuesday, December 16; Turnin Friday,
December 19 before 5pm (pdf)
Final exam instructions:
 You may not use human resources (each other, tutors, etc.)
 You may use written resources (the book, wikipedia, etc.)
 Do not copy written references directly; what you write must be in your
own voice
 In problem 4, you are given a choice; choose only one and
mark it clearly!
 Email me corrections, and I'll post them here. Check back for
updates!

Grading
Exams: Each exam counts for about 1/4 of your grade.
Homework: Homework will count for about 1/4 of your grade.
I will assign and collect homework on a weektoweek basis. Much of
the homework will be graded credit/nocredit. A few problems of
greater importance will be graded carefully. There will be roughly
eleven homeworks, out of which I'll drop your lowest.

Courses topics
(Not necessarily in order)
 Systems of linear equations
 Row reduction of matrices and echelon forms
 Vectors in Euclidean space
 The matrix of a linear transformation
 The determinant of a matrix
 Linear independence and bases
 Spanning sets, range and null space
 Change of basis
 Eigenvectors and diagonalization
 Applications

Homework 01, due Tuesday, September 02
Solve the three systems of linear equations from class. (Let me know
if I have made a mistake in transcribing them.)
 The one about least squares: 28m+12b48=0, 12m+6b20=0
 The one about tables and chairs: 2T+3C=600, 5T+2C=500
 The one about traffic flow: x_{1}+4=x_{2}+5,
x_{2}+2=x_{3}+2, x_{3}+3=x_{4}+3,
x_{4}+4=x_{1}+3

Homework 02, due Thursday, September 11
§1.1: 13, 6abd, 9, 10
§1.2: 2, 5ad, 7, 13

Homework 03, due Thursday, September 18
§1.2: 6, 9, 10, 19
Also do problem 1.2.3, and express your answers
in parametric vector form.

Homework 04, due Thursday, September 25
§3.2: 9abd, 10abc, 11
§1.3: 1ac, 4

Homework 05, due Tuesday, October 07
§1.3: 1ef, 2
§4.2: 2, 3, 4

Homework 06, due Thursday, October 23
§1.4: 9ab(i), 10abeh, 11a, 12a

Homework 07, due Thursday, October 30
§2.2: 3, 7
§3.2: 4(c)
§3.3: 2, 12

Homework 08, due Thursday, November 6
§3.3: 11
§3.4: 4, 5, 10
§3.6: 1, 8

Homework 09, due Tuesday, November 18
§3.5: 1, 2, 5
§4.3: 1abc, 3, 4

Homework 10, due Tuesday, December 02
§6.1: 1abcgh, 2, 22

Homework 11, due Tuesday, December 09
§6.2: 1ac
§6.3: 1cd, 20 (look also at 21, 22)