Complex Numbers, Matrices and their Applications, Linear Systems, Vectors and Coordinates, Analytic Geometry of the Plane, Lines and Surfaces in Space, Vector Spaces, Linear Transformations, Eigenvalues-Eigenvectors-Diagonalization, Jordan Normal Form of Linear Transformation or Matrix, Euclidean Vector Spaces, Hermitian Vector Spaces, Exponential Matrix Function and its Applications, Applications with MATLAB, Exercise Solutions, Bibliography, Index