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ISTANBUL GELİŞİM UNIVERSITY INFORMATION SYSTEM

LINEAR ALGEBRA COURSE IDENTIFICATION AND APPLICATION INFORMATION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MTH104 LINEAR ALGEBRA 2 3 3 5

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 Literature Research Group, Ring, Field, Vectors and Vector Spaces Expression
2 Literature Research Subspaces, Inner Product Spaces, Metric Properties Expression
3 Literature Research Linear Independence, Basis, Dimension, Matrix Vector Spaces, Basis and Dimension of Matrices Expression
4 Literature Research Multiplication of Matrices, Transposition, Inverse Matrix, Special Matrices Expression
5 Literature Research Elementary Operations in Matrices and their applications Expression
6 Literature Research Trace and its properties, Coordinates and Transition matrix in vector spaces. Expression
7 Literature Research Linear transformations, Rank and kernel of linear transformation, Dimension theorem Expression
8 - MID-TERM EXAM -
9 Literature Research Relation between Linear transformations and matrices Expression
10 Literature Research Determinant function, Properties of a determinant function, Calculation of the determinant of a matrix Expression
11 Literature Research Adjoint matrix, Applications of determinant (linear independence, rank of matrix, cross product, mixed product) Expression
12 Literature Research Linear Equation Systems Expression
13 Literature Research Eigenvalues and eigenvectors of matrices, characteristic equation and polynomial, Expression
14 Literature Research Cayley Hamilton Theorem and Applications Expression
15 - - -
16 - FINAL EXAM -
17 - FINAL EXAM -