MAT 261E - Linear Algebra

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.