2025 — Present

Linear Algebra

Vectors, matrices, linear transformations, and eigenvalues for engineering students. Full tutorial recordings are on the teaching page.

Mathematics Linear Algebra Matrices

Overview

An overview of the linear algebra I teach for engineering students (electrical and biomedical tracks). The full tutorial recordings — tutorials 8–13 plus a worked exam question — are on the teaching page.

Topics

  • Vector spaces, subspaces, span, and basis
  • Linear independence and dimension
  • Matrix operations, inverses, and determinants
  • Eigenvalues, eigenvectors, and diagonalization
  • Orthogonality and the Gram–Schmidt process

The external references below complement the recorded tutorials.

Resources