Undergraduate Catalog

MATH 315 Advanced Linear Algebra

This course presents the mathematical structure of vector spaces and linear transformations. The axioms of vector spaces are introduced along with the notion of basis and dimension. Properties of dual spaces and multilinear transformations are studied. Eigenvalues and eigenvectors theorems are used to diagonalize matrices. Adjoint, self-adjoint, normal and unitary operators on pre-Hilbert spaces are constructed.

Credits

3

Prerequisite

MATH 204, MATH 211, MATH 461

Offered

Fall Spring