Syllabus for Ma 565  Linear Algebra
Time and
Place: 03:003:50pm MWF, CB 347
Instructor: Alberto Corso, POT 701, 2573167, 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 0135367972.
Material:
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. CayleyHamilton Theorem.

Simultaneous triangulation and diagonalization.

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).
