Course Information

Course Name	Turkish	Lineer Cebir I
	English	Linear Algebra I
Course Code	MAT 141E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	1	3	3	-	-
Course Language		English
Course Coordinator		Ersin Özuğurlu
Course Objectives		1.To teach matrix algebra and system of linear equations. 2.To teach how to solve a system of linear equations. 3.To teach invertible matrices, inverse of a matrices, the properties of the determinant function.. 4.To teach vector spaces, subspaces, span of a set, linear independency of a set, basis, the coordinates of a vector, and the dimension .
Course Description		Systems of linear equations and matrices; matrix algebra, special types of matrices, elementary row and column operations, echelon form, elementary matrices, inverses, equivalent matrices. Solutions of systems of linear equations. Determinants; properties of determinants, cofactor and adjoint of a matrix, derivation of inverse matrix, Cramer's rule. Vector Spaces; definition of vector spaces, subspaces, linear independence, bases and dimension, coordinates, change of basis and isomorphisms, rank of a matrix.
Course Outcomes		Student, who passed the course satisfactorily: I- Can solve linear equations by using matrix methods. II-. Learn and apply the properties of determinants. III-. Understand and use real vector spaces and subspaces. IV-. Understand basis, dimension and linear independence.
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