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.
Prerequisite:
MATA22H3 or MAT223H
Exclusion:
MAT224H
Breadth Requirements:
Quantitative Reasoning