Linear Algebra

Објавено: February 28, 2019

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:

Required Literature

No.

Author

Title

Publisher

Year

1

Carl  D. MeyerMatrix Analysis and applied Linear AlgebraSIAM2000

2

Peter Lancaster, Miron TismenetskyThe Theory of MatricesAcademic Press2007

Additional Literature

No.

Author

Title

Publisher

Year

1

Gilbert StrangLinear Algebra and its ApplicationsBrooks Cole2006