### Ben Gurion University of the Negev

### Department of Mathematics

## ALGEBRA 2

#### Course number: 201-17021; Spring Semester 2009

#### COURSE PLAN

- Linear operators
- Linear functionals
- Polynomials
- Canonical forms
- Inner product spaces
- Linear operators on inner product spaces

#### COURSE POLICY

The grade will be based on a final exam.

#### EXERCISES

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

List of theorems for the exam

#### RECOMMENDED BIBLIOGRAPHY:

This material is well covered in many excellent textbooks,
e.g.,

- K. Hoffman and R. Kunze, Linear Algebra, Prentice-Hall,
Englewood Cliffs, N.J. 1971
- Shimshon Amitzur, Algebra A, Akademon, Jerusalem 1975 (in Hebrew)