MATH 3070

Fundamental ideas about vector spaces and subspaces, bases and dimension, linear transformations and matrices are studied in more depth than in MATH 2120. Topics include matrix diagonalization and its applications, invariant subspaces, inner product spaces and Gram-Schmidt orthogonalization, linear operators of various special types (normal, self-adjoint, unitary, orthogonal, projections), and the finite-dimensional spectral theorem.