Course: Matrix Algebra

» List of faculties » FES » UMKM
Course title Matrix Algebra
Course code UMKM/PMAL
Organizational form of instruction Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 2
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Koudela Libor, Mgr. Ph.D.
Course content
Matrices. Basic operations with matrices. Commuting matrices. Classification of matrices. Matrix trace. Linear space. Linear dependence and independence. Subspace and span. Generator, basis and dimension. Coordinates. Linear mappings and matrices. Superposition of mappings. Inverse mapping and inverse matrix. Regular and singular matrices. Transition matrix. Rank of a matrix. Elementary operations and multiplication of matrices. Matrix equivalence and similarity. Inner-product space. Orthogonal and orthonormal basis. Orthogonalization. Orthogonal matrices. Eigenvectors and eigenvalues. Diagonalization. Factorization. Jordan's canonical form. Matrices and quadratic forms.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Methods of individual activities, Skills training
Learning outcomes

Students will be able to apply obtained skills in solving concrete mathematical, technical and economic problems.
Prerequisites
Supposes examination from subject PMAT1.

Assessment methods and criteria
Written examination, Home assignment evaluation, Didactic test

Assignment - active attendance at seminars and succesfully answered final written test.
Recommended literature
  • ABADIR, K. M., MAGNUS, J. R. Matrix algebra. Cambridge, 2005.
  • FREIDBERG, S.H. Linear algebra. Prentice Hall, 2003.
  • KRAJNÍK, E. Maticový počet. Praha, Vydavatelství ČVUT, 2000.
  • RAO, C.R., RAO, M.B. Matrix algebra and its Applications to Statistics and Econometrics. . Singapore, World Sciencific, 2004.
  • SLOVÁK, J. Lineární algebra. Učební texty.. Brno, Masarykova univerzita, 1998.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Economics and Administration Management of Financial Risks (2015) Economy 1 Summer
Faculty of Economics and Administration Management of Financial Risks (2014) Economy 1 Summer
Faculty of Economics and Administration Management of Financial Risks (2013) Economy 1 Summer