Math 2184: Linear Algebra I
Section 10
Fall 2020

Contact Info
Fall 2020

Office: Blackboard

Office Hours:

Course Information



Daily Assignments

October 27: Characteristic Polynomial

October 22: Determinants


October 20: No class; midterm due

October 15: Eigenvectors and Eigenvalues


October 13: Isomorphisms


October 8: The Matrix of a Linear Transformation


October 6: Bases and Coordinates


October 1: Subspaces and Linear Transformations


September 29: Vector Spaces


September 24: Bases, Dimension, and Rank


September 22: Subspaces (and $LU$ factorizations)


September 17: Matrix Inverses


September 15: Applications of Linear Functions


September 14: Webwork due

September 10: Linear Transformations

Slides from Lecture

September 8: Solutions and independence of linear systems

Slides from lecture

September 3: Vectors and Matrix Equations:

Slides from lecture

September 1: Linear Equations and Row Echelon Form

Slides from lecture

Course Goals

This is a standard first course in linear algebra. The main topics are: linear equations; matrix algebra and equations; subspaces and bases; vector spaces; eigenvalues and eigenvectors; determinants; orthogonality and least squares. This corresponds to Chapters 1–7 of Lay, Lay, and McDonald.

By the end of the course, students will acquire the following skills and knowledge:

The course syllabus is available here.

Course notes

Mastery Quizzes

The topics for the quizzes are:

  1. Systems of Linear Equations
  2. Vector Equations and Spans
  3. Linear Independence
  4. Linear Transformations
  5. Matrix Multiplication
  6. Matrix Inverses
  7. Subspaces
  8. Basis and Dimension
  9. Vector Spaces and Subspaces
  10. Vector Space Linear Transformations
  11. Bases and Coordinates
  12. The Matrix of a Linear Transformation


Graphing calculators will not be allowed on tests. Scientific, non-programmable calculators will be allowed. I will have some to share, but not enough for everyone.


The official textbook for Math 2184 is Linear Algebra and its Applications, Fifth Edition, by Lay, Lay, and McDonald (ISBN-13: 978-0321982384). I will be loosely following this book, and it will be very useful to have, but I will not be assigning problems out of it.

Another perfectly fine book is A First Course in Linear Algebra by Rob Beezer, which is available free online.