Academic Catalog

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: Assoc.Prof.Dr. UMUT ORGUNER
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