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Linear
transformations, eigenvalues, diagonalization, quadratic forms,
Markov chains and isometries. This course covers material similiar to that
in AS/SC/AK/ MATH 2222 3.0 but
at a more advanced level. It is required in
Honours degrees in Mathematics and in Specialized Honours degrees in
Statistics.
This course is a continuation of MATH 2021 3.0. It is more theoretical
than MATH 2222 3.0 and covers additional topics (see above); further
topics may include linear recurrence relations and Fourier
approximation. The course proves that every symmetric matrix can be
orthogonally diagonalized, studies linear transformations and
their representation by matrices, and proves the Cayley--Hamilton
Theorem. The course
concludes with the study of inner product spaces.
The text is the same as for MATH 2021 3.0.
The marking scheme has yet to be determined.
Prerequisite:AS/SC/MATH 2021 3.0
or permission of the course coordinator.
ExclusionsAS/SC/AK/MATH 2222 3.0, AK/MATH 2220 6.0.
Coordinator: T.B.A.
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