Information Package / Course Catalogue
Matrix Analysis
Course Code: MTK561
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

This basic course includes some concepts of linear algebra, which is essential in all branches of science. The purpose of this course the student to teach the basic and general concepts.

Course Content

Systems of Linear Equations, Linear Transformations, Diagonalization, inner product spaces

Name of Lecturer(s)
Learning Outcomes
1.To be able to extract the characteristic and minimal polynomials of an operator
2.To be able to obtain eigenvalues and canonical forms of a matrix
3.To be able to find Jordan and rational forms of matrices
4.To be able to define an inner product space
5.To be able to define the linear operator on inner product spaces
6.To be able to obtain the form of a quadratic transformation
Recommended or Required Reading
1.Matrix analysis and applied Linear Algebra
2.Linear Algebra, K. Hoffman and R. Kunze
Weekly Detailed Course Contents
Week 1 - Theoretical
Linear equations and matrices
Week 2 - Theoretical
Matrix algebra, some specail matrices,row and column operations
Week 3 - Theoretical
Echelon form in matrices, LU-decompositions
Week 4 - Theoretical
Vector spaces, linear independence,basis and dimensions
Week 5 - Theoretical
Homojen equation systems
Week 6 - Theoretical
Coordinates, isomorphisms, rank of matrix
Week 7 - Theoretical
Linear transformations, kernel, image
Week 8 - Intermediate Exam
MIDTERM EXAM
Week 9 - Theoretical
Matrix representation, of linear transformations
Week 10 - Theoretical
Linear functionals, Dual
Week 11 - Theoretical
Determinants and its aplications
Week 12 - Theoretical
Eigenvalues and eigenvectors
Week 13 - Theoretical
Diagonalization, similar matrices
Week 14 - Theoretical
Inner product spaces, R^2 and R^3 standart inner product spaces
Week 15 - Theoretical
Gram-Schmidt method, orthonormal sets
Week 16 - Final Exam
Final Exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%20
Midterm Examination1%30
Final Examination1%50
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory143384
Assignment120222
Midterm Examination140242
Final Examination150252
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
OÇ-1
5
5
4
5
4
3
2
2
OÇ-2
3
5
4
4
5
3
3
4
OÇ-3
4
4
5
5
5
3
4
4
OÇ-4
5
4
5
5
5
3
5
5
OÇ-5
5
5
4
5
4
3
3
5
OÇ-6
5
5
4
5
4
3
3
5
Adnan Menderes University - Information Package / Course Catalogue
2026