MAT 3341
Applied Linear Algebra
Library resources
- Licence: CC BY-NC 4.0
Winter 2024
Topics
- Solving linear systems through elimination and LU factorization
- Inner products, vector and matrix norms, and conditioning
- Positive definite matrices and Cholesky factorization
- Orthogonal bases, QR factorization and projections
- Least-squares minimization
- Eigenvalue computation and diagonalization
- Jordan form, singular-value decomposition and pseudoinverses
Readings
- Applied Linear Algebra
Spring/Summer 2019
Topics
- Matrix factorizations: LU, QR, Cholesky and Schur
- Norms, sensitivity and conditioning
- Eigenvalue estimation and Gershgorin discs
- Singular-value decomposition and pseudoinverses
- Principal components
- Jordan form and matrix exponentials
- Quadratic forms, Rayleigh quotients and min–max principles
Readings
- Linear Algebra with Applications
- A First Course in Linear Algebra
- Linear Algebra Done Wrong
- Linear Algebra
- Introduction to Applied Linear Algebra – Vectors, Matrices, and Least Squares
Sources
- Course catalogue ↗2026–2027
- University of Ottawa Library OER guide ↗
- course_outline ↗Winter 2024
- instructor_course_page ↗Spring/Summer 2019
- Library resource mappings adapted from Mélanie Brunet and Catherine Lachaîne, University of Ottawa Library, OER by Discipline Guide / Guide REL par discipline (version 2.0), CC BY 4.0. Live web editions retrieved November 5, 2026.
- Tentative topic sequence and textbook-section references appear on pages 1–2.