MATH-32033 credit hours

Linear Algebra III

Mathematics · 3 hrs Lecture

Offered: Fall Or Winter, Every Year

MATH-3203 prerequisites

9 courses appear in this chain, up to 4 levels deep. 3 are needed whichever route you take: MATH-1201 → MATH-1401 → MATH-2203

Show the chain

all of

MATH-1401Discrete Mathematics

any one of

Pre-Calculus Mathematics 40S

a grade of 65% or higher in Applied Mathematics 40S

MATH-0042Mathematics Access II

any one of

A minimum grade of 65% in Pre-Calculus 30S

MATH-0041Mathematics Access Imin C+

permission of the Department Chair

MATH-2203Linear Algebra II
MATH-1201Linear Algebra I

any one of

Pre-Calculus Mathematics 40S

Applied Mathematics 40S

MATH-0042Mathematics Access II

Its prerequisites are shown above.

any one of

MATH-1101not in the 2026-27 calendar
MATH-1104Introduction to Calculus II
MATH-1103Introduction to Calculus Imin C

any one of

Pre-Calculus Mathematics 40S

MATH-0042Mathematics Access IImin C

Its prerequisites are shown above.

MATH-0040not in the 2026-27 calendar

Add your completed courses to see which of these you've already done and what you could take next. They stay on this device.

Where MATH-3203 counts

Required by 2 programs:

  • MATH 4-YEAR BA/BSc IN MATHEMATICS
  • MATH HONOURS BSc IN MATHEMATICS

Counts toward 3 more as one option among several, not as a course you must take:

  • MATH 3-YEAR BA/BSc IN MATHEMATICS
  • MATH MINOR IN MATHEMATICS
  • MATH TEACHABLE MINOR IN MATHEMATICS (Senior Years)

Read from the departments' own calendar pages, where 50 of 208 programs are only partly machine-readable, so treat these as a minimum rather than the full list. Confirm with an academic advisor.

Description

This course introduces students to inner product spaces; properties of Hermitian and normal matrices; unitary matrices; factorization theorems; Schur's Theorem; the Spectral Theorem; the Cayley-Hamilton Theorem; and quadratic forms. At the discretion of the instructor, other advanced topics in linear algebra may be covered.

Requisite courses

MATH-1401(3) and MATH-2203(3) and either MATH-1101(6) or MATH-1104(3) [prerequisite(s)].

Lecture

From the 2026-27 undergraduate calendar. Always verify details on WebAdvisor or with an academic advisor before registering.