MA221

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Advanced Linear Algebra

Course Subject Code

MA

Course Number

221

Course Long Title

Advanced Linear Algebra

Status

Active

Division

Natural Sciences

Unit(s)

1

Schedule Type

Block Seminar

Instruction Mode

Traditional

Grade Modes

Letter Grades, S/CR/NC, Audit

Course Description

This course will focus on the theoretical foundations and processes of linear algebra. Proofs and methods of proof will be stressed throughout. Topics include abstract vector spaces and their linear transformations; linear independence, span, and bases; the rank-nullity theorem; invertibility; eigenvalues and eigenvectors; matrix factorizations; inner product spaces; orthogonal projections and orthonormal bases; singular value decomposition; positive operators. Further advanced topics may be covered if time allows. Applications of linear algebra may be introduced to bolster the theoretical discussion.

Programs

MA221 is a completion requirement for:

Required Requisites

MA120 and one of : MA117, MA217, MA125, MA126, MA129 or equivalent.