MAT223: Linear Algebra I (Winter 2026)
Course Links
Important Dates and Announcements
- Please report any mistakes/typos found on course materials by completing this anonymous form.
- Tutorials will begin in Week 3 of the semester, on January 19
- Webwork is due every Monday by 11:59pm, and can be accessed via our Quercus page.
- Chapter Activity Packets are assigned in lecture each week, and must be submitted to Quercus by 11:59pm the following Monday.
- The Term Test will take place during your scheduled lecture section on Tuesday/Wednesday in Week 8 (March 3 or March 4, depending on when your lecture is scheduled), and will cover material from Chapters 1 through 6.
Course Calendar
| Week | Material | Chapter Activity Packet | Tutorial Activity |
|---|---|---|---|
| 1 (Jan 5 - 9) | Chapter 1: Systems of Linear Equations | CAP1 (s): due Jan 12 | |
| 2 (Jan 12 - 16) | Chapter 2: Vectors in Euclidean Space | CAP2 (s): due Jan 19 | |
| 3 (Jan 19 - 23) | Chapter 3: Vector Subspaces of R^n | CAP3 (s): due Jan 26 | PS1: tutorial quiz on Jan 19 |
| 4 (Jan 26 - 30) | Chapter 4: Linear Transformations | CAP 4 (s): Feb 2 | PS1 peer review |
| 5 (Feb 2 - 6) | Chapter 5: Fundamental Subspaces | CAP5 (s): due Feb 9 | PS2: tutorial quiz on Feb 2 |
| 6 (Feb 9 - 13) | Chapter 6: Matrix Algebra | CAP6 (s): due Feb 16 | PS2 peer review |
Reading Week: Feb 16 - 20 (no lectures or tutorials)
| Week | Material | Chapter Activity Packet | Tutorial Activity |
|---|---|---|---|
| 7 (Feb 23 - 27) | Chapter 7: Determinants | CAP7: due March 2 | PS3: tutorial quiz on Feb 23 |
| 8 (March 2 - 6) | Term Test Information and Practice (s) Chapter 8: Eigenvalues and Eigenvectors |
CAP8: due March 9 |
Term test review |
| 9 (March 9 - 13) | Chapter 9: Coordinate Systems and Change of Basis | CAP9: due March 16 | PS4: tutorial quiz on March 9 |
| 10 (March 16 - 20) | Chapter 10: Similarity and Diagonalization | CAP10: due March 23 | PS4 peer review |
| 11 (March 23 - 27) | Chapter 11: Orthogonality | CAP 11: due March 30 | PS5: tutorial quiz on March 23 |
| 12 (March 30 - April 3) | Chapter 11 continued | CAP 12: due April 6 | PS5 peer review |
Office Hour Calendar
link to calendar
Frequently Asked Questions
We'll be using research-based teaching and learning methods in this course, including inquiry-based learning. Many of the course activities will aim to guide you through the process of discovering content, which is known to lead to deeper understanding and retention of course material than the traditional lecture-based model.
You are welcome to work on your own during lecture activities if you prefer. We suggest you at least try working with your classmates for the first couple weeks to see if you find the discussion helpful. You will be expected to collaborate with your groups during tutorial activities.
Makeup work or extensions on assignments will generally not be allowed in this course. There is flexibility built into the course to account for any absences. Please see the "Assessment and Grading" section on our course syllabus for details. To catchup on missed lectures, you may refer to the lesson plan from the day you missed (linked at the top of this page), read the lecture notes, and/or watch the associated lecture recordings available on our Quercus page.
You are welcome and encouraged to attend any of the office hours posted on the office hour calendar above, even instructor office hours that you are not enrolled with. You may also consider posting a question on our course Piazza (available on our Quercus page), or using the resources at the Math Learning Centre.
All emails should be sent to the administrative inbox (mat223@course.utoronto.ca). We ask that you first carefully read the course syllabus before sending any emails.
We'll be using research-based teaching and learning methods in this course, including inquiry-based learning. Many of the course activities will aim to guide you through the process of discovering content, which is known to lead to deeper understanding and retention of course material than the traditional lecture-based model.
You are welcome to work on your own during lecture activities if you prefer. We suggest you at least try working with your classmates for the first couple weeks to see if you find the discussion helpful. You will be expected to collaborate with your groups during tutorial activities.
Makeup work or extensions on assignments will generally not be allowed in this course. There is flexibility built into the course to account for any absences. Please see the "Assessment and Grading" section on our course syllabus for details. To catchup on missed lectures, you may refer to the lesson plan from the day you missed (linked at the top of this page), read the lecture notes, and/or watch the associated lecture recordings available on our Quercus page.
You are welcome and encouraged to attend any of the office hours posted on the office hour calendar above, even instructor office hours that you are not enrolled with. You may also consider posting a question on our course Piazza (available on our Quercus page), or using the resources at the Math Learning Centre.
All emails should be sent to the administrative inbox (mat223@course.utoronto.ca). We ask that you first carefully read the course syllabus before sending any emails.