Thsi video discusses how to use eig in Matlab to component eigenstuff for a matrix and then to solve the corresponding homogeneous system of differential equations y'=Ay
Code for examples: https://drive.google.com/file/d/1vQY1...
In the Owl example, the solution is plotted as real(y) because while the theoretical solution should be real valued, the solution in Matlab has a small imaginary part do to rounding errors. If you don't include this, Matlab will let you off with a warning.