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PřF:M5110 Matrix Theory - Course Information

## M5110 Matrix Theory

**Faculty of Science**

Autumn 2001

**Extent and Intensity**- 2/1/0. 5 credit(s). Type of Completion: zk (examination).
**Teacher(s)**- prof. RNDr. Ladislav Skula, DrSc. (lecturer)

Mgr. Jiří Zelinka, Dr. (seminar tutor) **Guaranteed by**- prof. RNDr. Ivanka Horová, CSc.

Department of Mathematics and Statistics - Departments - Faculty of Science

Contact Person: prof. RNDr. Ladislav Skula, DrSc. **Prerequisites**(in Czech)-
**M2110**Linear algebra II **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**- Mathematics (programme PřF, B-MA)
- Mathematics (programme PřF, M-MA)
- Mathematics (programme PřF, N-MA)

**Course objectives**- Various types of generalized inverses (generalized inverse, reflexive generalized inverse, Moore-Penrose inverse, generalized inverse of symmetric matrices, QR decomposition. Method of the least squares for a system of linear equations. The sym- metric problem of eigenvalues (decompositions, QR algorithm). Nonsymmetric problem of eigenvalues (properties and decompositions, Hessenberg and real Schur forms, power matrices). Lancz method. Matrix functions {Lagrange-Sylvester interpolation polynomial, the values of a function on the spectrum of a matrix, the fundamental formula for the value of function in a matrix, the matrix series, some formulas).
**Language of instruction**- Czech
**Further Comments**- The course can also be completed outside the examination period.

The course is taught annually.

The course is taught: every week.

- Enrolment Statistics (Autumn 2001, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2001/M5110