EE501 LINEAR SYSTEMS THEORY I
| Course Code: |
5670501 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
8.0 |
| Department: |
Electrical And Electronics Engineering |
| Language of Instruction: |
English |
| Level of Study: |
Graduate |
| Course Coordinator: |
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| Offered Semester: |
Fall and Spring Semesters. |
Course Content
Linear spaces: fields, linear independence, basis, direct sum decomposition, normed linear spaces, convergence concepts, Banach spaces. Linear transformations: null and range spaces, matrix representation, block diagonal form. Linear transformations defined by a square matrix characteristic and minimal polynomials, direct sum decomposition of Cn, Jordan canonical form, functions of a square matrix. Hilbert spaces: inner product, concept of orthogonality, Hermitian matrices, projection theorem, systems of linear algebraic equations, general Fourier series
