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MTHE 212 Linear Algebra Units: 3.50
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.
(Lec: 3, Lab: 0, Tut: 0.5)
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites: APSC 174
Corequisites:
Exclusions: MTHE 312 (MATH 312)
Offering Term: W
CEAB Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0
Offering Faculty: Smith Engineering
Course Learning Outcomes:
- Computing eigenvalues and eigenvectors of endomorphisms.
- Computing Jordan Normal Forms of endomorphisms.
- 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.