MATH-32033 credit hours

Linear Algebra III

Mathematics · 3 hrs Lecture

Offered: Fall Or Winter, Every Year

MATH-3203 prerequisites

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

Part of this course's requisite text couldn't be parsed into structure, so the chain below may be incomplete. The full wording is under “Requisite courses”.

Show the chain

all of

MATH-1401Discrete Mathematics

any one of

Pre-Calculus Mathematics 40S

a grade of 65%

higher in Applied Mathematics 40S

MATH-0042Mathematics Access II

any one of

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

a minimum grade of C+ in MATH-0041

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

Minimum grade of C in MATH-1103

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

Read from the departments' own calendar pages, where 71 of 141 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.