MA 511 Advanced Linear Algebra 4 cr.  (4-0-0)

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.