Linear algebra course

I'm in search of a skilled freelancer or tutor proficient in linear algebra, specifically for a college-level course. Fluent Arabic speakers or individuals from Egypt are preferred for ease of communication. The course will cover extensive topics, including: Chapter 1: Systems of Linear Equations 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination and Gauss-Jordan Eliminations Chapter 2: Matrices 2.1 Matrix Operations 2.2 Properties of Matrices 2.3 Matrix Inverses 2.4 Elementary Matrices Chapter 3: Determinants 3.1 Matrix Determinants 3.2 Determinants and Elementary Operations 3.3 Determinant Properties 3.4 Determinants' Practical Applications Chapter 4: Vector Spaces 4.1 Vectors in Rn 4.2 Vector Spaces 4.3 Subspaces within Vector Spaces 4.4 Spanning Sets and Linear Independence 4.5 Basis and Dimension 4.6 Matrix Rank and Systems of Linear Equations 4.7 Coordinates and Basis Transformations Chapter 5: Inner Product Spaces 5.1 Length and Dot Product in Rn 5.2 Understanding Inner Product Spaces 5.3 Orthonormal Bases: Utilizing the Gram-Schmidt Process 5.4 Mathematical Models' Integration 5.5 Real-world Applications of Inner Product Spaces Chapter 6: Linear Transformations 6.1 Introduction to Linear Transformations 6.2 Understanding the Kernel and Range of Linear Transformations 6.3 Matrices' Role in Linear Transformations 6.4 Transition Matrices and Similarity 6.5 Practical Applications of Linear Transformations Chapter 7: Eigenvalues and Eigenvectors 7.1 Eigenvalues and Eigenvectors 7.2 Diagonalization Methods 7.3 Exploring Symmetric Matrices and Orthogonal Diagonalization