Syllabus for Ma 565 - Linear Algebra
Time and
Place: 03:00-3:50pm MWF, CB 347
Instructor: Alberto Corso, POT 701, 257-3167, alberto.corso@uky.edu, www.ms.uky.edu/~corso.
Office Hours: open door policy.
Textbook: Linear Algebra
(2nd edition), by Kenneth Hofmann and Ray Kunze, ISBN 0-13-536797-2.
Material:
We plan to cover the first 6 chapters in the textbook. The topics that we will cover are:
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Review of matrix algebra.
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Vector spaces; subspaces; bases and dimension.
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Linear transformations; matrix representation; coordinates; change of base formula.
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Duality: dual, double dual vector spaces; adjoint operators.
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Determinants: axiomatic approach.
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Characteristic values and characteristic vectors. Invariant subspaces.
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Annihilating polynomials: minimal and characteristic polynomials. Cayley-Hamilton Theorem.
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Simultaneous triangulation and diagonalization.
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Direct sum decompositions.
Grades: The grade for this course
will be computed in the following way
1/3 Midterm
1/3 Final
1/3 Problem Sets (given out each week, approximately).
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