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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
Textbook
Other References
 
 
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