Fully determined system: You're running a continuous culture of $E.$ coli in the lab.

$3$ substrates: glycerol $(C{H}_{\frac{8}{3}}O),O_2,N{H}_3$

$2$ products: $C{O}_2$ and $H_{2}O$

Biomass composition: $C{H}_{2\mathrm{.}3}{O}_{0\mathrm{.}5}{N}_{0\mathrm{.}25}$

In the culture, you measure the rates $(C-$mol$\frac{i}{C}-$molx$-h)$ for glycerol and biomass, as shown in the vector below.

$r_m=([],[r_{gly}],[vdotsvdots],[vdots...])=([0\mathrm{.}5],[-0\mathrm{.}75],[vdots])$

a$.$ Set up matrices $E_r$ and $E_m.$

b$.$ Solve for $r_{-5}.$ Show your code and your output.