Advanced Linear Algebra

Undergraduate

The course continues the study of linear algebra from MATH 2250 . It discusses several aspects of linear algebra that are of crucial importance for the subject and its applications to abstract algebra, geometry and number theory. Topics include generalized eigenspaces and Jordan normal form theorem, dual vector spaces, bilinear and hermitian forms, symmetric and hermitian operators, Hom spaces and tensor products. After MATH 2250 or 2260 . Two semesters of proof-based mathematics courses are strongly recommended. MW 11:35am-12:50pm