Coding problems:

HW$6\_4$: The following system of equations is designed to determine concentrations $($in $g\frac{m}{m^3})$ in a series of coupled reactors as a function of the amount of mass input to each reactor $($in $\frac{g}{?}$ day$)$ :

$16c_1-3c_2-c_3=5800$

$-3c_1+20c_2-6c_3=1300$

$-4c_1-c_2+15c_3=1350$

Write a PYTHON code to solve this problem using Gauss$-$Seidel method correct to $3$ significant figures. Display the final answers using formatted printing.