(Solved): chemical reaction and linear system of equations     If you could hand write the answ ...

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. \[ x_{1} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6} \quad \rightarrow \quad x_{2} \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}+x_{3} \mathrm{CO}_{2} \] a) Set up a (quadratic) linear equation system in matrix notation to solve the problem. \[ A \cdot \vec{x}=\vec{b} \] 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.