| Code |
Course Name |
Language |
Type |
| MAT 142E |
Linear Algebra II |
English |
Compulsory |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
4.5 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 141 MIN DD
or MAT 141E MIN DD
or MAT 121 MIN DD
or MAT 121E MIN DD
|
| Class Restriction |
None |
| Course Description |
| Inner Product Spaces; Standard inner product, Orthogonal subspaces, Orthogonal complement of a subspace, Inner product
spaces, Cauchy-Schwarz inequality, Normed space, Orthogonal basis, Orthogonal matrices, Gram-Schmidt orthogonalization
methods.
Linear Transformations and Matrices; Definition of a linear transformations, The kernel and range of a linear transformation,
Matrix representations of a linear transformations, Similarity.
Eigenvalues and Eigenvectors; Definition, Cayley-Hamilton Theorem, Diagonalization and Similar matrices, Diagonalization of
symmetric matrices.
Applications of Eigenvalues and Eigenvectors; Quadratic forms, Conic sections, Quadric surfaces. |
|
