Aug 07, 2020  
2017 - 2018 Undergraduate Catalog 
2017 - 2018 Undergraduate Catalog [ARCHIVED CATALOG]

MATH 309 - Intermediate Linear Algebra

Spring (3) Prerequisite(s): (MATH 211  or MATH 210 ) and MATH 214 .

Complex numbers; inner product spaces; adjoints of linear transformations; projections; unitary transformations. Spectral theorem for normal, Hermitian and unitary transformations. Polar and singular-value decompositions. Eigenvalues and eigenvectors; the Jordan canonical form. Bilinear and quadratic forms; Sylvester's Law of Inertia. Dual spaces: linear functionals, biorthogonal systems, annihilators. Tensors and tensor products.