Decoupling Linear Systems with Constant Coefficients (Homogeneous)

July 3, 2019

Along with we’ve studied in the last note about matrix exponential, there’re a total of 3 ways to calculate the solutions of linear homogeneous system

• First is the eigenvalues and eigenvectors in note 25

• Second is the matrix exponentials $e^{At}$ in note 29

• The third one we’re gonna study today is the decoupling

Coupled

Physics, essence of problems, find $u,v$

Eigenvalues must be real and complete (not defective). Symmetric matrix.