Examine how the rank of the stoichiometric matrix can be used to reduce the number of equations to be solved. For example, if there are \(n_{\mathrm{s}}\) components and \(n_{\mathrm{r}}\) equations we can show that only \(n_{\mathrm{s}}-n_{\mathrm{r}}\) independent mass-balance equations are needed. The remaining variables form an invariant. Write MATLAB code to find the invariants.