MATH 502 Advanced Linear Algebra (3)

This course provides the linear algebra background necessary for a variety or applied fields as well as advanced work in algebra and analysis. Topics include vector spaces, linear transformations, dual spaces, matrices, matrix factorizations, matrix norms, determinants, eigenvalues and diagonalization, bilinear forms, projections, orthogonal and unitary transformations, Jordan canonical form, and infinite dimensional linear spaces. Applications such as an approximation theory, positive matrices, computation, multilinear algebra, and spectral theory will be selected by the instructor.
Prerequisite(s): Students must have a working knowledge of undergraduate Linear Algebra and proof techniques of Abstract Algebra and Analysis.
Course Frequency: Fall
Cross-Listing: MATH 402