Linear Algebra

Contents

--------------->>> Vector Space <<<--------------- Definitions and vector properties Norm Inner product Vector product Exercise --------------->>> Matrices <<<--------------- Definitions Operations Properties Row operation Rank Determination Inverse matrix (Gause/Jordan) Exercise --------------->>> System of Linear Equations <<<--------------- Inversion Cramer's rule Exercise --------------->>> Eigenvalue and Eigenvector <<<--------------- Eigenvalue Eigenvector Canonical form Properties and Theorems Exercise --------------->>> System of Differential Equations <<<--------------- State space equation Solution of state equation Laplace solution Cayley-Hamilton method Exercise --------------->>> Engineering Applications <<<--------------- Vibrating system Electric circuits Modern control theory Exercise Exams