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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 2 3 3 - - Course Language English Course Coordinator Egnar Özdikililer Course Objectives 1. To provide the methods of solution of systems of linear equations. 2. To provide the applications of matrix and determinant. 3. To give an ability to apply knowledge of linear algebra on engineering problems. Course Description Matrices and System of Equations, Systems of Linear Equations, Row Echelon Form, Matrix Algebra, Elementary Matrices, Determinants, The Determinant of a Matrix, Properties of 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 Orthogonalization Process, 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 linear systems. 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) Required Facilities Other Textbook Other References