MA 511 - Advanced Linear Algebra

Offered Fall: No Offered Winter: No Offered Summer: No Offered Other: No

Credits: 4
Hours (Lecture/Discussion/Lab): 4-0-0
Graded: A/F

Prerequisites: Graduate student or accelerated bachelors student in mathematics or instructor permission.
Co-requisites: None

This is an advanced course in linear algebra. The instructor will cover the following topics: vector spaces and subspaces over an arbitrary field , linear transformations, similar matrices, the rank-nullity theorem, change of coordinates, linear operators, matrix conjugacy, rational and Jordan canonical form. Additionally, the instructor may focus on topics such as: rational canonical form , dual vector spaces, quotient vector spaces , inner products, bilinear forms, tensors , orthogonal and unitary operators, or the spectral theorem.