MAT2092 Alıştırmalar-Çözümler
Ders Notu
18.03.2025
MAT2092 Cebir 2 1. kısa sınav hakkında
Duyuru
12.03.2025
MAT2092 Cebir 2 dersinin 1. kısa sınavı 17.03.2025 pazartesi günü öncesinde ders yapılacak olup saat 10.15'te yapılacaktır. Son dersteki bir sorunun daha kısa bir çözümü ektedir.
MAT1320 Linear Algebra Lecture Notes 9-14.Weeks (Türkçe)
Ders Notu
14.12.2024
About the second midterm of MAT1320
Duyuru
11.12.2024
You are responsible for from the first week to the tenth week in the second midterm of Mat1320 as followings:
| Definition of matrix, types of matrix, Equality of Matrices, Addition and subtraction of matrices, matrix multiplication by a scalar, Some properties about them. Multiplying matrices and Some properties about it. Transposes of matrices and properties of the transpose. | Textbook (Chapter 1) | |
| 2 | Some Special Matrices and matrix applications.(Symmetric Matrix,Anti symmetric matrix, periodic matrix, idempotent matrix, Nilpotent matrix, orthogonal matrix, A conjugate of a matrix and its properties, hermitian matrix,Anti hermitian matrix, regular matrix, singuler matrix, and their applications. | Textbook (Chapter 1) |
| 3 | Elementary row and column operations in the Matrices. Row-Echelon form and reduced row-echelon form. Rank of a matrix. Inverses of matrices and some applications about this. | Textbook (Chapter 1) |
| 4 | Definition of a determinant. Laplace expansion of a matrix. Properties of a determinant. | Textbook (Chapter 2) |
| 5 | Rule of Sarrus. The adjoint of a matrix, Using the adjoint matrix to find an inverse matrix and some applications about this. | Textbook (Chapter 2) |
| 6 | System of linear equations: solving systems of linear equations with aid of equaivalent matrices, linear homogeneous equations and some applications about this. | Textbook (Chapter 3) |
| 7 | Cramer’s rule. Using the inverse of a coefficient matrix to solve a linear systems and some applications about this. | Textbook (Chapter 3) |
| 8 | Midterm 1 | |
| 9 | Vectors: Definition of Vectors,The sum of vectors and Subtraction of vectors and Multiplication of vectors, Dot product of two vectors and their properties, Vector product of two vectors(Cross product of vectors ) and their properties, Mixed product of three vectors(Triple product) and their properties, Double vector product(double cross) and their properties and some applications about this. | Textbook (Chapter 4) |
| 10 | Vector Spaces: Definition of vector spaces and theorems. Subspaces and their applications. |
MAT1320 Linear Algebra Lecture Notes 1-7.Weeks (Türkçe)
Ders Notu
30.10.2024
MAT1320 Exercises-Solutions for all weeks
Ders Notu
22.10.2024
MAT1320 Further Exercises
Ders Notu
22.10.2024
MAT1320 Lecture Notes for all weeks
Ders Notu
22.10.2024