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