For the following set of chemical reactions:

(1) A + 2B <--> 2C r₁, r_-1

(2) C <--> 2D + E r₂, r_-2

(3) 3D <--> F + 2C r₃, r_-3

(4) D <--> C + E +F r₄, r_-4

a. What is the stoichiometric matrix and the species list for this set of reactions?

b. How many of these reactions are linearly independent?

c. Determine one set of linearly independent reactions.

d. Determine the rates of production of each component in terms of the rates of each reaction.