Now, we are interested in determining the expression for $v_3,v_5,$ and $v_6$ in terms of $v_1,v_2,$ and $v_4$

using the metabolic flux analysis. Answers can be expressed in the following matrix form.

$\left[\begin{array}{c}{v}_3\\ v_5\\ v_6\end{array}\right]=A_{{?}^{?}}(-1)B_{{?}_{?}}\left[\begin{array}{c}v1\\ v_2\\ v4\end{array}\right]$

Determine the matrix A and B $[10$ pts$].$

Hint: Apply PSSAs on pyruvate, acetyl$-$co A and NADH.