Course Information

Course Name	Turkish	Lineer Cebir II
	English	Linear Algebra II
Course Code	MAT 142	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	-	-	-
Course Language		Turkish
Course Coordinator		Burcu Tunga
Course Objectives		1- To teach the concept of inner product, iner product space and diagonalization methods, 2- By reminding the basic subjects of linear transformations to teach the concept of eigen values and eigen vectors. 3- To give ability to calculate the eigenvalues, eigenvactors of a matrix, and in terms of similarity transformation to teach the conditions in order to obtain the diagonal 4- To teach the relation between the eigenvalues and quadratic forms. 5- To teach Analytic Geometry applications of Linear Algebra concepts.
Course Description		Inner product spaces; standard inner product, orthogonal subspaces, orthogonal complement of a subspace, inner product, inner product spaces, normed space, Cauchy-Schwarz inequality, orthogonal basis, orthogonal matrices, Gram-Schmidt orthogonalization methods. Linear transformations; Definition of Linear transformation, Matrix Representations of Linear Transformations, Similarity. Eigenvalues and Eigenvectors; diagonalization, Cayley-Hamilton Theorem, quadratic forms, Conic sections, Quadratic surfaces.
Course Outcomes
Pre-requisite(s)
Required Facilities
Other
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