Jordan Normal Form

Computer Methods in Chemical Engineering

Problem Statement: Consider the following first order ODE. 

  dx/dt = A*x   x(0)=x0

            [x1]
  where x = [x2]
            [x3]
The linear operator A*x is defined as: 
        [3*x1-1.5*x2+3*x3]
  A*x = [2*x2+2*x3      ]
        [-0.5*x2+4*x3   ]
Find the eigenvalues and eigenvectors of A, exp(At), and the solution to the ODE.

Solution:

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Computer Methods in Chemical Engineering -- Jordan Normal Form
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