This is a continuation of MATH 212. Topics include matrix diagonalization and its application to systems of linear differential equations and Markov chains, invariant subspaces, inner product spaces, Gram-Schmidt orthogonalization, linear operators of various special types (normal, self-adjoint, unitary, orthogonal, projections), the finite-dimensional spectral theorem, bilinear and quadratic forms.
Prerequisite: MATH 212