F2182 Linear and multilinear algebra

Faculty of Science
Spring 2000
Extent and Intensity
3/1/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Jana Musilová, CSc. (lecturer)
Mgr. Michael Krbek, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Bochníček, Dr.
Department of Plasma Physics and Technology – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Jana Musilová, CSc.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Fundamental course of linear and multilinear algebra for physicists. Linear mappings of finite-dimensional vector spaces: representation of a vector in bases, subspaces, scalar product, orthogonalization, orthogonal projection, linear operators in vector spaces and their representation in bases, eigenvalues and eigenvectors, diagonal representation, Jordan normal form, unitary linear operators, selfadjoint linear operators and spectral representation. Tensor algebra: dual space, dual basis, tensor product of vector spaces, tensors as linear operators, representation in bases, operations, algebraic structure of tensor spaces, exterior algebra, induced mappings of tensor spaces, physical applications-cartesian tensors.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2000/F2182