Find the subspace of values that balances the chemical equation in which glucose ferments to form alcohol and carbon dioxide. $$x_1C_6H_{12} \rightarrow x_2C_2H_5OH + x_3CO_2$$
The subspace = span{A} where

${\rm A} =$

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$

.