3.2 Multiple set of first-order reactions. Consider the following series reaction scheme in a constant batch reactor: A k2 B ks D Assuming all reactions are first order and irreversible, set up the governing equations in matrix form for A, B, and C. Assume the rate constants k₁ = 2, k2 = 1, and k3 = 2 and an initial concentrations of CA = 1, CB = 0, and Cc = o. Note: Time and concentrations are in arbitrary units for illustrative purposes. Represent the solution in a compact form using matrix algebra. Use the expm function (exponential of matrix) to obtain an analytical representation of the results. Obtain numerical solutions using ODE45 and plot concentrations versus time profiles. Compare the analytical solution (using expm) with the numerical solution.