MATH 4650 - Advanced Linear Algebra

Topics covered will include: Review of eigenvalues and eigenvectors, diagonalizability; Hermitian matrices, unitary matrices, normal matrices and their spectral properties; Orthogonality and the Gram-Schmidt process; Schur’s triangularization theorem; Characteristic polynomial and minimal polynomial, Cayley-Hamilton theorem, Jordan Canonical form; Positive definite matrices, singular value decomposition; Inclusion regions for eigenvalues and Gershgorin’s theorem, Perron-Frobenius theory, and matrix functions.

Prerequisite/Corequisite:
Prerequisites: MATH 2800 and MATH 3650 with grades of C or higher, or approval of the Department Head

Hours:
3