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 |
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1 |
Carl D. Meyer | Matrix Analysis and applied Linear Algebra | SIAM | 2000 |
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2 |
Peter Lancaster, Miron Tismenetsky | The Theory of Matrices | Academic Press | 2007 |
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Additional Literature |
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No. |
Author |
Title |
Publisher |
Year |
|
1 |
Gilbert Strang | Linear Algebra and its Applications | Brooks Cole | 2006 |
