Applied Mathematics, Statistics, Data Science, Linear Algebra.
But now we’ve found that A ^k just equals S (Λ^k) S^-1 above. So we can rewrite our model as: But we can compress this model even further. It’s possible to write the initial state vector u0 as a linear combination of the two eigenvectors x1 and x2. That is, we can write: which can be solved for c