Determine whether the matrix is stochastic. [0.3 0.5 0.21 0.7 0.1 0.2 0.1 0.1 0.8 O stochastic O not stochastic

What is the second row of the matrix A, if A is stochastic? Second row: 0.8 The steady state vector for A is If v= 0.5 [15] 26 then Av approaches as n gets large. A = [0.2 ? 0.5] ?

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4.43. At a local grocery store there are queues for service at the fish counter (1), meat counter (2), and café (3). For i = 1,2,3 customers arrive from outside the system to station i at rate i, and receive service at rate 4 + i. A customer leaving station i goes to j with probabilities p(i, j) given the following matrix 1 2 3 0 1/4 1/2 2 1/5 0 1/5 3 1/3 1/3 0 1 In equilibrium what is the probability no one is in the system, i.e., 7(0,0,0).