Overview
Description
Vector analysis continued; abstract vector spaces; bases, inner products; projections; orthogonal complements, least squares; linear maps, structure theorems; elementary spectral theory; applications.
Requirements
Corequisites
MATH 283
Original catalog text
Corequisites
Corequisite(s): MATH 283.
Units
Lecture3
Catalog Details
Offering
Offered: Every Fall, Spring, and Summer
Terms
fall, spring, summer
Attributes
Standard
Learning Outcomes
- compute eigenvalues and eigenvectors; determine whether a matrix is diagonalizable and if possible diagonalize it.
- compute the dimension of a vector space, the rank of a matrix or the span of a collection of vectors.
- find or identify a basis for a vector space, use the Gram-Schmidt process to find an orthonormal basis, or carry out a change of basis.