Invariant subspaces and the Cayley-Hamilton theorem; normal and self-adjoint operators; unitary and orthogonal operators; the principal axis theorem; orthogonal projections and the spectral theorem; singular value decomposition; bilinear forms; Sylvester's theorem; Jordan canonical form and the minimal polynomial.

Antirequisite(s): the former Mathematics 3121A/B.

Prerequisite(s): Mathematics 2155F/G and one of Mathematics 2700A/B or the former Mathematics 2120A/B.

Extra Information: 3 lecture hours.