f 10.8 The following system of equations is designed to determine concentrations (the c's in g/m) in a series of coupled reactors as a function of the amount of mass input to each reactor (the right-hand sides are in g/day), 15c1-3c2 C3 = 3300 -3c1 +18c2-6c3 = 1200 -4c1c2+12c3 = 2400 (a) Determine the matrix inverse. (b) Use the inverse to determine the solution. (c) Determine how much the rate of mass input to reactor 3 must be increased to induce a 10 g/m rise in the concentration of reactor 1.I (d) How much will the concentration in reactor 3 be reduced if the rate of mass input to reactors 1 and 2 is reduced by 700 and 350 g/day, respectively?