problem 5 you must concentrate the following system of equations is de

Question

Problem 5: You must concentrate
The following system of equations is designed to determine concentrations (units of care
g/m³) in a series of coupled reactors as a function of the amount of mass input to each
reactor (the right-hand sides in g/day),
1. Determine the matrix inverse.
2. Use the inverse to determine the solution
3. Determine the required rate of mass input into Reactor 3 to induce a 25g/m³ rise in
the concentration of Reactor 1.
4. How much will the concentration in Reactor 3 be reduced by if the rates of mass
input to Reactors 1 and 2 are reduced by 500 and 250 g/day, respectively?