Linear Algebra
Teaching Staff: Vlamos Panagiotis
Course Code: ΜΘ-110
Course Type: Core Course
Course Level: Undergraduate
Course Language: Greek
Semester: 1st
ECTS: 6
Teaching Units: 2
Lecture Hours: 2
Lab/Tutorial Hours: 2L 2T
Total Hours: 6
E Class Page: http://e-class.ionio.gr/courses/DCS191/
Short Description:
Cartesian products, Relations, Algebraic structures, Tables, Matrix operations, Reverse Matrix, Inverse Matrix. Determinants and their properties, Linear systems, Gauss method, Gauss – Jordan method, Systems solved with the use of inverse matrix, Cramer method, Vector spaces, Kernel and Image of linear mappings, Eigenvalues and eigenvectors, Matrix diagonalization, Applications in Informatics.
Suggested Bibliography:
- S. Barnett, Matrices Methods and Applications , Clarendon Press, Oxford, 1990.
- S. Barnett, Polynomial and Linear Control Systems, Dekker, 1983.
- R. Bhatia, Matrix Analysis, Springer, 1996.
- R. Bronson, Matrix Methods , Academic Press, 1991.
- S.Campbell and C. Meyer, Generalized Inverses and Linear Transformations,Dover Publ., 1991.
- B.N. Datta, A first course in Numerical Linear Algebra , Brooks Cole, 1995.
- J.L. Goldberg, Matrix Theory with Applications , McGraw Hill, 1991.
- P. Halmos, Linear Algebra Problem Book , Amer. Math. Soc. , 1995.
- I. Herstein and D. Winter, Linear Algebra, MacMillan PC, 1988.
- P. Horn and C. Johnson, Matrix Analysis, Cambridge, 1985.
- H.D. Ikramov , Linear Algebra, Mir Publ., 1983.
- B. Kolman , Introductory Linear Algebra with Applications , Prentice Hall , 1997.
- P. Lancaster and M. Tismenetsky, The Theory of Matrices , Academic Press, 1985.
- P. Lax, Linear Algebra, J. Wiley, 1997.
- D.C. Lay, Linear Algebra and its Applications, Addison-Wesley P.Co., 1994.
- S.J. Leon, Linear Algebra with Applications, MacMillan, 1990.
- C. Meyer, Matrix Analysis and Applied Linear Algebra, SIAM, 2000.
- W.K. Nicholson, Linear Algebra with Applications , 3rd Ed. , PWS , 1995.
- V.V. Prasolov, Problems and Theorems in Linear Algebra, Amer. Math. Soc., 1994.
- V.V. Voyevodin, Linear Algebra, Mir Publ., 1983.
- F. Zhang, Matrix Theory, Springer, 1999.
- G. Strang, Linear Algebra and its Applications, Academic Press.
- S. Lipschutz, Linear Algebra, Schaum’s Outiline Series.
- REA’s Problem Solvers: Linear Algebra, Research and Education Association.
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Studies
Secretery Building (Building 3)
7 Tsirigoni Square
Corfu, 49100
tel:26610 87760 / 87761 / 87763
e-mail: cs@ionio.gr
e-mail: cs@ionio.gr
