Introduction of decoupling in linear system of equations.

Description
To get the general solution of the homogeneous system of differential equation, the first method which can be applied is to find the eigenvalues and the eigenvectors and add them together. The second method is to calculate the matrix e to the power At. The third method of solving linear system is decoupling, which is defined and introduced by professor Arthur Mattuck. The condition that a matrix can be decoupled is it should be real and symmetric.
Prof. Arthur Mattuck, Maths, 18.03.Differential Equations, Spring 2010: 29: Decoupling Linear Systems with Constant Coefficients: Massachusetts Institute of Technology: MIT Open Course Ware),http://ocw.mit.edu (Accessed December 8, 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc