(a) Use the data in the compartmental diagram in FIGURE 8.17.6 to determine the
Chapter 8, Problem 2(choose chapter or problem)
(a) Use the data in the compartmental diagram in FIGURE 8.17.6 to determine the appropriate transfer matrix T and the initial state of the system \(\mathbf{X}_{0}\).
(b) Find the state of the system after 1 day. After 2 days.
(c) Find the equilibrium state \(\hat{\mathbf{X}}=\left(\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}\right)\) that satisfies \(\mathbf{T} \hat{\mathbf{X}}=\hat{\mathbf{X}}\). [Hint: What is the analogue of the hint in part (c) of Problem 1?]
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