Linear Algebra
Course: Linear Algebra
Code: 3ФЕИТ08010
ECTS points: 6 ЕКТС
Number of classes per week: 3+0+0+3
Lecturer: Assoc. Prof. Dr. Biljana Nachevska - Nastovska
Course Goals (acquired competencies): Afer completing this course, the student willl have advanced knowledge in the theory of matrices and matrix analysis and will be able to apply it in practical problems.
Course Syllabus: Matrix algebra and vector spaces. Linear transformations. Norms, inner products and orthogonality. Matrix decomposition. Least squares method. Eigenvalue spaces. Normal and positive definite matrices. Generalized inverses and applications. Perron-Frobenius Theory for nonnegative matrices. Stohastic matrices and Markov Chains. Matrix inequalities.
Literature:
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Required Literature |
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No. |
Author |
Title |
Publisher |
Year |
|
1 |
Carl D. Meyer |
Matrix Analysis and applied Linear Algebra |
SIAM |
2000 |
|
2 |
Peter Lancaster, Miron Tismenetsky |
The Theory of Matrices |
Academic Press |
2007 |
|
Additional Literature |
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No. |
Author |
Title |
Publisher |
Year |
|
1 |
Gilbert Strang |
Linear Algebra and its Applications |
Brooks Cole |
2006 |
