Code |
Course Name |
Language |
Type |
MAT 339E |
Matrix Theory |
English |
Elective |
Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
3 |
6 |
3 |
0 |
0 |
Course Prerequisites and Class Restriction |
Prerequisites |
MAT 263 MIN DD or MAT 263E MIN DD
|
Class Restriction |
None |
Course Description |
Inner product on complex vector spaces, Hermitian, Unitary matrices, Generalized Eigenvectors, Vector and Matrix Norms,
Singular Value Decomposition of a Matrix and Computations in Matlab. Matrix Polynomials; Elementary Operations for Matrix
Polynomials, Equivalence, Annihilating, Characteristic, Minimal and Invariant Polynomials. Normal Forms; The Smith Canonical
Form, Similarity, The First Normal Form, Elementary Divisors, The Second Normal Form and Jordan Canonical Form.
Functions of Matrices; Lagrange and Hermite Interpolatory Polynomials, Definitions, Properties and Spectral Solutions of
Functions of Matrices, Solutions of the System of Differential Equations by Matrix Functions. |
|