Mathematics 545 - Lin Alg Appl Math

Fall
2018
02
3.00
Eduardo Cattani
TU TH 11:30AM 12:45PM
UMass Amherst
77032
Lederle Grad Res Tower Rm 171
cattani@math.umass.edu
Basic concepts (over real or complex numbers): vector spaces, basis, dimension, linear transformations and matrices, change of basis, similarity. Study of a single linear operator: minimal and characteristic polynomial, eigenvalues, invariant subspaces, triangular form, Cayley-Hamilton theorem. Inner product spaces and special types of linear operators (over real or complex fields): orthogonal, unitary, self-adjoint, hermitian. Diagonalization of symmetric matrices, applications.
MATH 233/35 w/C; 300 or CS 250 27 seats reserved for Math majors.
Permission is required for interchange registration during the add/drop period only.