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# Course Information

 Course Name Turkish Lineer Cebir English Linear Algebra Course Code MAT 261E Credit Lecture (hour/week) Recitation (hour/week) Laboratory (hour/week) Semester - 3 3 - - Course Language English Course Coordinator Ergün Yaraneri Course Objectives 1.Lineer denklem sistemlerinin çözüm yöntemlerini öğretmek. 2.Matris ve determinant kavramlarını uygulamada kullanma becerisi sağlamak. 3.Lineer cebir bilgisini mühendislik problemlerini çözmede kullanabilme becerisi kazandırmak. Course Description Matrices and System of Equations, Systems of Linear Equations, Row Echelon Form, Matrix Algebra, Elementary Matrices, Determinants, The Determinant of a Matrix, Propertiesof Determinants, Cramer’s Rule, Vector Spaces, Definition of Vector Space, Subspaces, Linear Independence, Basis and Dimension, Change of Basis, Row Space and Column Space, Linear transformations, Matrix Representations of Linear Transformations, Orthogonality, The Scalar Product, Orthogonal Subspaces, Inner Product Spaces, Orthonormal Sets, The Gram-Schmidt OrthogonalizationProcess, Eigenvalues and Eigenvectors, Diagonalization. Course Outcomes Students completing this course will be able to :I.Solve the systems of linear equations. Provide arithmetic operations with matrices.Compute the inverse of a matrix.II.Determine the value of determinant of a matrix. Use Cramer rule to solve linearsystems.III.Learn the importance of the concepts of vector space, basis and dimension.IV.Compute the matrix representation of a linear transformation.V.Find an orthonormal basis using the Gram-Schmidt process.VI.Evaluate the eigenvalues and the corresponding eigenvectors of the matrix. Pre-requisite(s) None. Required Facilities Other Textbook Linear Algebra with Applications(6th Edition), Steven J. Leon, (2002), Pearson. Other References