Linear Algebra MAS4105/1071


Prof. Peter Sin

Time and Location

MTWF Per. 5, Matherly 115.

Office Hours:

MTW Per. 6,  Little 362, and by appointment.

Description and Goals

The course provides a rigorous and thorough introduction to  linear algebra, a  subject which is basic to nearly all branches of pure and applied mathematics, with many applications in science, engineering and economics.

The student will learn to read  and write  proofs of theorems, and  develop computational skills. This course is designed to serve majors in mathematics and those engineering and science students interested in a  conceptual understanding of the subject.


Linear Algebra, by Insel, Friedberg and Spence (4th ed.)

Some related notes

From a later course, but contains some
review material for MAS4105
pdf notes


GNU octave is free, open source Matlab-like numerical linear algebra software that is easy to install and use.

Matlab is bigger, fancier, and not free.

SageMath is a free open-source mathematics software system,
using a python-based language. It is easy to learn, with lots of online documentation.

You are not required to use octave, Matlab, or SageMath but they are useful tools for learning linear algebra.

Course calendar (including all exam dates)

Sample tests and Hwk solutions

Graded Assignment 1 Solutions
Graded Assignment 2 Solutions
Graded Assignments 3 and 4 Solutions
Model solutions for homework problems
Model solution for first graded homework (past class)
Model solutions of second graded homework (past class)
Sample for Test 1
Sample for Test 2
Test 2 Solutions
Sample for final


The list of homework problems appears below. You should try to solve all of the assigned problems. I will select  certain  problems to be written up carefully and turned in for grading. You may discuss ideas to solve homework problems with your classmates, but the written work turned in for grading must be entirely your own.

  • Chapter 1:
    • Sect. 1.2: 1, 7, 11, 12, 13, 18.
    • Sect. 1.3: 1, 5, 8, 11, 12, 13, 15, 17, 22.
    • Sect. 1.4: 1, 2, 3, 5, 6, 12.
    • Sect. 1.5: 1, 3, 4, 5, 7, 10, 16, 18, 20.
    • Sect. 1.6: 1, 2, 3, 6, 11, 26.
  • Chapter 2:
    • Sect. 2.1: 1, 3, 9, 12, 13, 15,1 6, 17.
    • Sect. 2.2: 1, 2(a), 5(c), 10, 16.
    • Sect. 2.3: 1, 2(b), 3(a), 4(a), 9, 12.
    • Sect. 2.4: 1, 2(e,f), 6, 9, 16, 20.
    • Sect. 2.5: 1, 2(a), 3(a), 5, 7.
  • Chapter 3:
    • Sect. 3.1: 1, 4.
    • Sect. 3.2: 1, 2(a,b), 3, 5(a), 6(c) 8, 14.
    • Sect. 3.3: 1, 2(a,b), 4(a), 9, 10.
    • Sect. 3.4: 1, 2(a,b), 3, 9, 10.
  • Chapter 4:
    • Sect. 4.1: 1, 2(a,b), 4(a,b), 8, 12.
    • Sect. 4.2: 1, 2, 5, 13, 23, 26.
    • Sect. 4.3: 1, 2, 9, 10, 12, 15, 17, 20, 21.
  • Chapter 5:
    • Sect. 5.1: 1, 3(b), 4(a), 8(a), 17(a), 21(b).
    • Sect. 5.2: 1, 2(b,d), 3(a,b), 9, 16, 13.
  • Chapter 6:
    • Sect. 6.1: 1, 3, 8, 11, 13, 15, 24, 27.
    • Sect. 6.2: 1, 2(a), 6, 8, 19(a).
    • Sect. 6.3: 1, 2(a), 3, 6, 7, 10, 15.


Exams and Grading Policy

There will be 2 class exams each worth 20 points and a final exam worth 40 points. (Check the course calendar for the dates.)
Homework is worth 20 in total. Your grade will be based on the total (out of 100) of your homework score and the
scores on these three exams. The dates of the class exams and final are given in the course calendar. No make-up exams will be given except for documented special reasons, such as medical emergencies. Exams can be rearranged for student athletes only if I am notified at least four weeks in advance.

If you think that a score has been computed incorrectly, please bring the matter to my attention within one day of your work being returned.

If you think that your work has been graded incorrectly, please submit an appeal in writing within seven days of  your work being returned, explaining your reasons in detail. Appeals may result in a higher, unchanged, or lower score, depending on the merit of the appeal. Decisions on appeals are final. The final exam cannot  be appealed.

Grading Scale

Grades: A=90-100, A-=87-89, B+=83-86, B=78-82, B-=75-77, C+=70-74, C=65-69, C-=60-64, D=50-59, E=0-49

The UF regulations on grades are here:

The UF policy on minus grades is here:


Attendance and Late Policy

Attendance is mandatory, except for absences allowed by UF policies. Homework that is up to one week late will be scored at 75% of the score
for equivalent on-time homework, and zero after one week.

The UF policy on attendance is here:

Special accommodations

Students requesting classroom accommodation must first register with the Dean of Student Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the instructor when requesting accommodation.

Honor Code

UF students are bound by The Honor Pledge which states, “We, the members of the University of Florida community, pledge to hold ourselves and our peers to the highest standards of honor and integrity by abiding by the Honor Code.
On all work submitted for credit by students at the University of Florida, the following pledge is either
required or implied: “On my honor, I have neither given nor received unauthorized aid in doing this

The Honor Code (
specifies a number of behaviors that are in violation of this code and the possible sanctions.
Furthermore, you are obliged to report any condition that facilitates academic misconduct to appropriate
personnel. If you have any questions or concerns, please consult with the instructor of this class.

Course Evaluations

Students are expected to provide feedback on the quality of instruction in this course based on 10 criteria. These evaluations are conducted online at Evaluations are typically open during the last two or three weeks of the semester, but students will be given specific times when they are open. Summary results of these assessments are available to students at