Mth 544 Advanced Linear/Multilinear Algebra I

A second course in linear algebra. Products, quotients, and duals of vector spaces. Multilinear maps, tensor products, exterior algebra. Minimal and characteristic polynomials, canonical forms. Finite dimensional spectral theory. This is the first course in a sequence of two: Mth 544 and Mth 545 which must be taken in sequence. Also offered for undergraduate-level credit as Mth 444 and with departmental approval, this sequence may be repeated for credit.