Solve the task through python

Exercise 1: = A peristaltic pump delivers a unit flow (Q1=1) of a highly viscous fluid. The network is depicted in Figure 1. Every pipe section has the same length and diameter. The mass and mechanical energy balance can be simplified to obtain the flows in every pipe. Solve the following system of equations to obtain the flow in every pipe (Q2, Q7). Q3 +224 -2Q2 = 0 Q = Q2 + Q3 Q5 +226 - 294 = 0 Q3 = Q4 + Q5 307-226= 0 Qs = Q6 + 1 Q 03 Q5 Q2 Q4 06 27 Figure 1. Illustration of flow network. 1. Develop the program using the Gauss elimination method with scaled partial pivoting to calculate flow rates. (see textbook, p.268 or lecture notes, slide 29). 2. Print out the matrix of coeficients and right-hand-side vector for each elimination and pivoting steps. 3. Check your programs with the solution obtained using solve function from numpy library. You can call this function using following commands: import numpy as np Windows print("Solution using numpy: x = %s' % np.linalg.solve(A,b)) aktuenposatb Windows, ra where A is the matrix of coefficients and B is the right-hand-side vector