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ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH) PROGRAMME
COURSE DESCRIPTION
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Name of the Course Unit
| Code
| Year
| Semester
| In-Class Hours (T+P)
| Credit
| ECTS Credit
|
LINEAR ALGEBRA |
MAT106 |
1 |
2 |
3+0 |
3.0 |
4.0 |
Objectives and Contents |
Objectives of the Course Unit |
The course is standard first year course on linear algebra providing basic definitions, concepts and methods. Discussion and proofs are given in form of algorithms whenever is possible. The objective Concepts of basic operations in Linear algebra: Introduction to Systems of Linear Equations, Gaussian Elimination, Matrices and Matrix Operations, Inverses; Rules of Matrix Arithmetic, Elementary is twofold: to make students ready to see applications of linear algebra on subsequent courses and to enable them to continue their study on more advanced level. |
Contents of the Course Unit |
Matrices and a method for finding , Further Results on Systems of Equations and Inevitability, Diagonal, Triangular and Symmetric Matrices, The Determinant Function, Evaluating Determinants by Row Reduction, Properties of the Determinant Function, Cofactor Expansion; Cramer’s Rule, Euclidean n-space, Linear Transformation , Properties of Linear Transformations from , Real Vector Spaces, Subspaces, Linear Independence, Basis and Dimension, Row Space, Column Space and Nullspace, Rank and Nullity, Inner Products, Angle and Orthogonality in Inner product Spaces , Orthogonal Bases; Gram-Schmidt Process, Eigenvalues and Eigenvectors, Diagonalization. |
Contribution of the Course Intending to Provide the Professional Education |
The objective Concepts of basic operations in Linear algebra: Introduction to Systems of Linear Equations, Gaussian Elimination, Matrices and Matrix Operations, Inverses; Rules of Matrix Arithmetic, Elementary is twofold: to make students ready to see applications of linear algebra on subsequent courses and to enable them to continue their study on more advanced level. |
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