1. Basic Definitions 1. 2. 3. 4.Positive Matrix: 5.Non-negative Matrix:

2. Perron Theorem for Positive Matrices 1. 2. 3. 4. 5. 6. 7.

3. Non-Negative Matrices 1. 2. 3.

4. Irreducibility

5. Corresponding Graph of a Matrix

6. More on Irreducibility

7. Perron-Frobenius Theorem I 1. 2. 3. 4. 5. 6. 7.

8. Perron-Frobenius Theorem II

9. Primitive Matrices I

10. Primitive Matrices II

11. Stochastic Matrices

12. Markov Chains I (Definitions)

13. Markov Chains II (States)

14. Markov Chains III (Classes)

15. Markov Chains IV (Matrices)

16. Markov Chains V (Stationary Distribution and Long-Run Behavior)