Doç. Dr. Mustafa SARI

9.-14. Haftalar

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)

MAT1320 Lecture Notes for all weeks 

MAT1320 Further Exercises

MAT1320  Exercises-Solutions for all weeks