Math244

Inner Product Spaces

Definition of Inner Product
Orthogonality
Orthonormal Basis

Linear Transformations

Basic Properties
Kernel and Image of Linear Transformation
Matrix of Linear Transformation

Eigenvalues and Eigenvectors & Diagonalization

-Eigenvalues and Eigenvectors
-Diagonalization

Matrices

Matrices and Matrix Operations
Elementary Row Operations
Inverse of Matrix
Special Matrices

Determinants

Definition of Determinant
Properties of Determinants
The Adjoint Matrix

Systems of Linear Equations

Gauss and Gauss–Jordan Methods
Homogeneous systems of linear equations
Cramer’s Rule

Vector Spaces

Definition of a Vector Space
Subspaces
Linear Combination and Spanning Sets
Linear Dependence & Linear Independence
Basis and Dimension
Coordinates and Change of Basis
Rank of the Matrix

المرفق	الحجم
chapter1-m244-slides.pdf	246.14 كيلوبايت
chapter2-m244-slides.pdf	234.05 كيلوبايت
chapter3-m244-slides.pdf	195.35 كيلوبايت
chapter4-e-slides.pdf	296.78 كيلوبايت
chapter5-e-slides.pdf	207.71 كيلوبايت
chapter6-m244-slides.pdf	217.32 كيلوبايت
chapter7-m244-slides.pdf	172.16 كيلوبايت

Previous exams with answer sheet

Previous exams with answer sheet

ملحقات المادة الدراسية