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:	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