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