chemical reaction and linear system of equations

If you could hand write the answer I would appreciate it

chemical reaction and linear system of equations Establish a mass balance for alcoholic fermentation, i.e. x1C6H12O6x2C2H5OH+x3CO2 a) Set up a (quadratic) linear equation system in matrix notation to solve the problem. Ax=b b) Check with the determinant whether the Linear Equation System can be solved uniquely. c) Solve the LES with the Gauss-Jordan algorithm and give a solution for the mass balances. d) Justify that there is no inverse matrix of the coefficient matrix