MATH 2R03

THEORY OF LINEAR ALGEBRA

Undergraduate

Winter 2026 · C01

Readings

Linear Algebra Done Right Ed: 4
Axler · 4 · Required
ISBN 9783031410253

Fall 2024 · C01

Abstract vector spaces. Linear transformations. Inner product spaces. Spectral theorems. Orthogonal bases, other topics. Three lectures, one tutorial; one term

Readings

Linear Algebra Done Right
Sheldon Axler · Required
ISBN 978-3-031-41025-3
https://textbooks.mcmaster.ca ↗
https://linear.axler.net/ ↗

Fall 2024

Topics

Vector spaces
Linear transformations
Inner-product spaces
Invariant subspaces
Spectral theorems
Orthogonal bases
Mathematical proof

Readings

Linear Algebra Done Right
Sheldon Axler · 4th · unspecified

Sources

Course catalogue ↗2026–2027
Campus Store reading list ↗Winter 2026
Course outline / syllabus ↗Fall 2024
Course outline / syllabus ↗Fall 2024