MATH 212 Linear Algebra ll Units: 3.00
Vector spaces, direct sums, linear transformations, eigenvalues, eigenvectors, inner product spaces, self-adjoint operators, positive operators, singular-value decomposition, minimal polynomials, Jordan canonical form, the projection theorem, applications to approximation and optimization problems.
Learning Hours: 120 (36 Lecture, 12 Tutorial, 72 Private Study)
Requirements: Prerequisite MATH 111/6.0* or MATH 112/3.0 or MTHE 217/3.5.
Exclusion MATH 110/6.0.
Equivalency MATH 312/3.0*.
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Computing eigenvalues and eigenvectors of endomorphisms.
- Computing Jordan Normal Forms of endomorphisms.
- Computing Taylor and Laurent expansions of complex analytic functions.
- Proving properties of homomorphisms between vector spaces, as well as properties of eigenvalues and eigenvectors of endomorphisms.
- Working with the properties of inner-products and Hilbert spaces.