Vector spaces

Basic data
Detailed data
Classes
Consultations schedule

Code:	45877
ECTS:	6.0
Lecturers in charge:	prof. dr. sc. Marcela Hanzer
Lecturers:	Lucija Relić , mag. math. - Exercises
English level: 1,0,0	All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

Load:

1. komponenta

Lecture type Total

Lectures 30

Exercises 30

* Load is given in academic hour (1 academic hour = 45 minutes)

Description:

COURSE AIMS AND OBJECTIVES: To explain basic results about linear operators on finite dimensional vector spaces (Jordan form, functional calculus, operators on inner product spaces).

COURSE DESCRIPTION AND SYLLABUS:
1. Linear operators on finite dimensional spaces
2. Dual spaces
3. Spectrum, characteristic and minimal polynomial
4. Nilpotent operators
5. Fitting decomposition
6. Jordan form
7. Functional calculus
8. Resolvent
9. Geometry of inner product spaces
10. The adjoint operator
11. Normal operators
12. Normal operators on real inner product spaces
13. Selfadjoint operators, Positive operators and polar decomposition

Literature:

Prerequisit for:

Enrollment :
Passed : Linear algebra 2

7. semester

Izborni matematički predmet 4 - Regular study - Mathematics and Physics Education

Consultations schedule:

prof. dr. sc. Marcela Hanzer:
By an appointment
Location:

Content

All activities regarding this course can be seen on Merlin platform. All notices and course related materials will be available on Merlin.

News

News archive

Poll

Repository

Vector spaces

1. komponenta

Content

News

FACULTY OF SCIENCE