nth roots of z (Nth root theorem)

(more info: https://www.youtube.com/watch?v=0Gyv9ce7f8I)

Superposition principle, gives general solution for systems of a DE

The general solution to the DE (simplified to x⃗ '(t)=Ax⃗ and solving for eigenvalues/eigenvectors) is given by the superposition principle: x⃗ (t) = c1*x⃗ 1(t)+c2*x⃗ 2(t)+...