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Mathematics 252

Linear Algebra 

Length of Course: 14 weeks

Classroom Hours per Week: 4

Number of Credits: 3

Prerequisite: 12 credits

Corequisite: Mathematics 114

Course Description:

An introduction to linear algebra including theory and application of vector spaces, linear transformations and matrices, eigenvectors and eigenvalues and inner product spaces.

Course Outline:

Length Description

Week 1

Systems and Linear Equations and Matrices: Introduction to systems of linear equations, Gaussian elimination

Week 2

Systems and Linear Equations and Matrices: Matrices and matrix operations, Inverse matrix, properties of matrices

Week 3

Systems and Linear Equations and Matrices: Elementary matrices, Methods of finding inverse matrix, More on linear systems and invertible matrices, Applications

Week 4

Determinants: Determinants by cofactor expansion, evaluating determinants by row reduction

Week 5

Determinants: Properties of determinants, Cramer’s rule

Week 6

Euclidean Vector Spaces: Vectors in 2,3 and n-space, Norm, Dot product, Distance, Orthogonality, Cross product

Week 7

General Vector Spaces: Real vector spaces, Subspaces, Linear independence, Coordinates and basis

Week 8

General Vector Spaces: Dimension, Change of basis

Week 9

General Vector Spaces: Row space, Column, space, Null space, Rank, Nullity

Linear Transformations: General linear transformations

Week 10

General Vector Spaces: Matrix transformation from Rn  to Rm

Eigenvalues and Eigenvectors: Definition and computation of eigenvalues, eigenvectors, and eigenspaces

Week 11

Eigenvalues and Eigenvectors: Diagonalization

Week 12

Inner Product Spaces: Inner products, Orthogonality, Gram-Schmidt process

Week 13


Week 14

Final Exam


Elementary Linear Algebra, Howard Anton, latest edition

Course Evaluation:

Quizzes and Homework 10-20%
Midterm Exam(s) 30-40%
Final Exam 50%


Arman Ahmadieh B.Sc., M.Sc. (Sharif University of Technology)
Hayri Ardal, B.Sc.(Bogazici), Ph.D.(Simon Fraser)
Kim Peu Chew, B.Sc. (Nanjing), M.A., Ph.D. (British Columbia)
Ana Culibrk, B.Sc.,M.Sc. (Belgrade),M.Sc.(British Columbia)
Rika Dong, B.Sc. (Simon Fraser), M.Sc. (Regina)
Sam Ekambaram, B.Sc., M.Sc. (Madras), M.Sc., Ph.D. (Simon Fraser)
Himadri Ganguli, B.Sc., M.Sc. (Chennai), Ph.D. (Simon Fraser)
Peter Hurthig, B.Sc., M.Sc. (British Columbia)

Transferability: see