EE501 LINEAR SYSTEMS THEORY I
Course Code: | 5670501 |
METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
ECTS Credit: | 8.0 |
Department: | Electrical and Electronics Engineering |
Language of Instruction: | English |
Level of Study: | Graduate |
Course Coordinator: | Prof.Dr. UMUT ORGUNER |
Offered Semester: | Fall and Spring Semesters. |
Course Objectives
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