11. Multiplying together stochastic matrices always yields another stochastic matrix, so "'Q "'must be a stochastic matrix . 12. A "'Google matrix "'is a particular stochastic matrix that is used by Google's PageRank algorithm. 13. In probability theory, the probability m for the stochastic matrix obeys detailed balance when the stationary distribution \ rho _ n has the property: 14. *PM : eigenvalues of stochastic matrix , id = 8421 new !-- WP guess : eigenvalues of stochastic matrix-- Status: 15. *PM : eigenvalues of stochastic matrix, id = 8421 new !-- WP guess : eigenvalues of stochastic matrix -- Status: 16. A " stochastic matrix " is a square matrix of nonnegative real entries in which the sum of the entries in each column is 1. 17. Before you can understand stochastic matrix , you need to understand how a matrix is defined, and how two matrices can be added or multiplied together. 18. Multiplying together stochastic matrices always yields another stochastic matrix , so "'Q "'must be a stochastic matrix ( see the definition above ). 19. Multiplying together stochastic matrices always yields another stochastic matrix, so "'Q "'must be a stochastic matrix ( see the definition above ). 20. Furthermore, this can be generalized so that the entries in " A " can be real numbers representing connection strengths, as in a stochastic matrix .
