The following system of equations models the concentrations (c's in [g/m31) of constituents in a series of coupled reactors as a function of the mass flow into each reactor (the solution vector is in [g/day]). Use LU Decomposition to determine the values of the unknown concentrations. 3. 17c1-2c2 -3c3 500 -5c1 +21c2 -2c3 -200 5c1-5c2 +22c-30 Solve for the unknown concentrations in Prob. 3. using the Gauss-Seidel Method. Use a stopping criterion of 5%. Show the method step-by-step 4. using hand calculation methods