MATB24H3

Linear Algebra II

A conceptual and rigorous approach to a second course in linear algebra that focuses on mathematical proofs. This course covers fields, vector spaces over a field, linear transformations; inner product spaces, coordinatization and change of basis; diagonalizability, orthogonal transformations, invariant subspaces, Cayley-Hamilton theorem; Hermitian inner product, normal, self-adjoint and unitary operations. Some applications such as the method of least squares and introduction to coding theory.