Prerequisites: Graduate standing.
An abstract approach to the study of finite- and infinite-dimensional vector spaces and their transformations. Selected topics may include similarity, duality, canonical forms, singular value decomposition, inner products, discrete Fourier transform, bilinear forms, Hermitian and unitary spaces.
Outcomes: Students will strengthen their ability to read, understand, and communicate arguments about finite- and infinite-dimensional vector spaces and their transformations, preparing them for further advanced work in mathematics.
An abstract approach to the study of finite- and infinite-dimensional vector spaces and their transformations. Selected topics may include similarity, duality, canonical forms, singular value decomposition, inner products, discrete Fourier transform, bilinear forms, Hermitian and unitary spaces.
Outcomes: Students will strengthen their ability to read, understand, and communicate arguments about finite- and infinite-dimensional vector spaces and their transformations, preparing them for further advanced work in mathematics.