Mathematics 545 - Lin Alg Appl Math
Fall
2021
02
3.00
Noriyuki Hamada
M W F 1:25PM 2:15PM
UMass Amherst
17633
Lederle Grad Res Tower rm 204
hamada@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.
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