---
tag: 0F462493EA
kind: concept
name: Transition matrix
aliases: [stochastic-matrix, markov-matrix, probability-matrix]
msc: [60J10]
sources:
  - url: https://en.wikipedia.org/wiki/Stochastic_matrix
    locator: lead section
same_as:
  wikidata: Q176583
  wikipedia: Stochastic matrix
---

## Summary

A transition matrix, or stochastic matrix, is a square matrix of nonnegative entries in which each row adds up to $1$. It gives the one-step probabilities of a Markov chain.
The node [[transition matrix|0F1KBVY161]] gives the precise definition.