Problem S5.4. Consider the chemical reaction in Problem S5.2 and let N = 3, k = 2,

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Problem S5.4. Consider the chemical reaction in Problem S5.2 and let N = 3, k = 2, and k2 1.

(a) Write the transition matrix, W and compute its eigenvalues and left and right eigenvectors.

(b) If initially there are zero X-molecules in the system, what is the probability of finding three X-molecules at time t. What is the probability of finding three X-molecules at time t = 00?

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