Compute the steady-state matrix of the given stochastic matrix.

Question

Compute the steady-state matrix of the given stochastic matrix. ​  ​

Quizplus · Accepted Answer

To find the steady-state matrix, we need to solve the equation Mx = x, where M is the given stochastic matrix and x is the steady-state vector. We can solve this by finding the eigenvector corresponding to the eigenvalue 1. Normalizing this eigenvector gives us the steady-state vector, which can be used to form the steady-state matrix. The resulting steady-state matrix is [0.2 0.3 0.5], which corresponds to choice C.

Compute the Steady-State Matrix of the Given Stochastic Matrix