| Code |
Course Name |
Language |
Type |
| VBA 210E |
Linear Algebra and Applications |
English |
Compulsory |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
4.5 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
None |
| Class Restriction |
None |
| Course Description |
| Linear Equations and Matrices: Linear systems of equations, matrices, matrix product, algebraic properties of
matrix operations, special matrices (square, symmetric, orthogonal, triangular, diagonal, etc.); Solving Linear
Systems: Echelon form of a matrix and its rank, solving linear systems, elementary matrices, matrix inverses,
equivalent matrices; Determinants: Definition and properties of the determinant, cofactor expansion and
finding the inverse of a matrix, applications of the determinant, Cramer’s rule; Real Vector Spaces: Vectors in
two- and three-dimensional spaces, definition of a vector space, subspaces, spanning, linear independence,
basis, dimension, orthonormalization (Gram-Schmidt process), projection matrix; Eigenvalues and
eigenvectors: Diagonalization and the matrix power, positive definite and semi-definite matrices, the Singular
Value Decomposition. |
|
