MA 511 Advanced Linear Algebra 4 cr. (4-0-0)
- Graded: A/F
- Prerequisite: Graduate student in mathematics or instructor permission.
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.