Syllabus for Ma 565 - Linear Algebra
Place: 03:00-3:50pm MWF, CB 347
Instructor: Alberto Corso, POT 701, 257-3167, email@example.com, 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.
We plan to cover the first 6 chapters in the textbook. The topics that we will cover are:
Review of matrix algebra.
Vector spaces; subspaces; bases and dimension.
Linear transformations; matrix representation; coordinates; change of base formula.
Duality: dual, double dual vector spaces; adjoint operators.
Determinants: axiomatic approach.
Characteristic values and characteristic vectors. Invariant subspaces.
Annihilating polynomials: minimal and characteristic polynomials. Cayley-Hamilton Theorem.
Simultaneous triangulation and diagonalization.
Direct sum decompositions.
Grades: The grade for this course
will be computed in the following way
1/3 Problem Sets (given out each week, approximately).