A Markov transition matrix is a square matrix describing the probabilities of moving from one state to another in a dynamic system. In each row are the probabilities of moving from the state represented by that row, to the other states. Thus the rows of a Markov transition matrix each add to one. Sometimes such a matrix is denoted something like Q(x' | x) which can be understood this way: that Q is a matrix, x is the existing state, x' is a possible future state, and for any x and x' in the model, the probability of going to x' given that the existing state is x, are in Q.

### Terms Related to Markov Transition Matrix

- Markov Process
- Markov Strategy
- Markov's Inequality

### Resources on Markov Transition Matrix

### Writing a Term Paper or High School / College Essay? Here are a few starting points for research on Markov Transition Matrix:

**Journal Articles on Markov Transition Matrix**

- Estimating the Second Largest Eigenvalue of a Markov Transition Matrix
- Estimating a Markov Transition Matrix from Observational Data
- Convergence across Chinese provinces: An analysis using Markov transition matrix