Hi, This is Asma a Ph.D. Scholar, Electrical Engineer and a Lecturer by profession. I have more than 12 years of teaching experience and you can say I am expert in Linear Algebra field. The basic topics that I will be covering during this course are: System of Linear Equations and Matrices Introduction to the system of linear equations Gaussian Elimination method Gauss-Jorden Method Solving system of linear equations on MATLAB Vector Equations Introduction to vector in the plane Vectors in Rn Geometrical interpretation of solution of Homogeneous and Non-homogeneous equations Linearly dependent and Independent Vectors Applications of Linear Systems Linear transformations Matrix transformations Domain and range of linear transformations Geometric interpretation of linear transformations The inverse of a matrix LU factorization Determinants and their properties. Vector Spaces Eigen Values and Eigenvectors Introduction to Eigen value and Eigenvectors Computing the Eigenvalues Properties of Eigen-values Diagonalization Applications of Eigenvalues Finding Eigen Values and Eigen Vectors using MATLAB. Definition of vector spaces Subspaces Spanning set Null Spaces and column spaces of a linear transformation Linearly Independent sets and basis Bases for Null space and Kernal space