### Tag: Eigenvalue

### Perron Frobenius Theorem

Perron Frobenius Theorem is a well-known algebra result that finds applications in a large span of fields of Mathematics. One can mention Markov chains, population growth (with the Leslie matrix model) or the famous PageRank algorithm. In this post we prove the Perron-Frobenius Theorem for stochastic matrices. Perron Frobenius Theorem Let us consider some integer