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AS/SC/ MATH 2022 3.0 W

Linear Algebra II (Honours Version)

      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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