MAT 4190 - Advanced Linear Algebra (4)

The fields of real and complex numbers, vector spaces over general fields, subspaces, span and linear independence, bases and dimension, existence of bases, linear coordinates, linear transformations and matrix representations, isomorphism and change of basis, diagonalizability, inner product spaces, the Gram-Schmidt process, unitary operators and orthogonality, normal operators, self-adjoint operators, and the spectral theorem, Jordan canonical form.

Prerequisite(s): C or better in MAT 2240 or MAT 2250, and C or better in MAT 3100.
Grading Basis: Graded Only
Repeat for Credit: May be taken only once
When Offered: Fall, Spring
Course Category: Major Required Course