The course in Linear Algebra II is both skill and application oriented. Having discovered at the end of Linear algebra I that all matrices were not diagonalizable, the course sets out to find the next best thing that could be done for such matrices.
Learning Outcomes:
demonstrate basic competence in the concepts, principles, procedures and applications of linear transformations
explain matrix representations of linear transformations.
transform matrices of linear mappings from one basis to another
explain canonical forms and the invariant subspace decomposition of linear maps.
solve problems of approximations in inner product spaces.