These linear algebra resources were created while I was TAing MATH 1850U at Ontario Tech University in the Fall 2023 term. They should still be applicable to other courses at Ontario Tech University, notably MATH 2050U, as well as to other students outside of Ontario Tech University who are studying a first course in linear algebra. These materials follow Elementary Linear Algebra by Howard Anton, 11e. For the more proofbased sections of the course, I may use Linear Algebra Done Wrong by Sergei Treil. Topics will be presented in the order of Anton. Those not using Anton or Treil will still find these resources helpful.
Jump to Lecturette Recordings
Jump to Lecturette Notes
Video Examples
 Introduction to matrices and linear systems
 Gaussian elimination
 Matrix operations
 Matrix inverses
 Vandermonde interpolation
 Determinants
 Cramer's rule
 Introduction to vectors
 Norms and dot products
 ISBNs
 Orthogonal vectors
 Vectors and geometry

Vector space axioms
Note: For more videos on this topic, see the videos listed as 1.X in Advanced Linear Algebra 
Subspaces
Note: For more videos on this topic, see the videos listed as 1.X in Advanced Linear Algebra  Linear independence
 Wronskian
 Span
 Basis
Lecturette Recordings
Note: The quality of the recordings may not be ideal. They are not meant to replace inclass attendance. They should primarily serve as a supplemental aid to students. Linear Systems and Gaussian Elimination
 Working with Matrices
 Inverses and Determinants
 Determinants and Cramer's Rule
 Vector Spaces and Subspaces
 Linear Independence and Span
 Basis and Dimension
 Linear Transformations
 Eigenpairs
 Diagonalization
Below, you will find midterm review recordings.
Problem Sets
Note: These problem sets were used during a summer course, and as such are more condensed. They combine multiple topics together in each set. Basics of Linear Systems
 Inverses and Determinants
 Euclidean Vectors and Vector Spaces
 Basis and Fundamental Spaces
 Linear Transformations and Eigenpairs
Challenge Questions
Lecturette Notes
Note: The notes provided here are handwritten and scanned. The scans aren't perfect, but I hope are enough for students of mine to refer back to. Linear Systems and Gaussian Elimination
 Working with Matrices
 Inverses and Determinants
 Determinants and Cramer's Rule
 Vector Spaces and Subspaces
 Linear Independence and Span
 Basis and Dimension
 Fundamental Spaces and RankNullity Theorem
 Linear Transformations
 Eigenpairs
 Diagonalization
 Inner Products and GramSchmidt Process
For those who want to go a step further or prefer learning by diagrams, here is a fantastic resource you can use by Prof. Pawel Sobocinski.