Python to Solve Linear Equation and return 3D Graph with Full Source Code For Beginners

Enter values through spaces for each of the three equations, return the solution and a 3D graph.


  • Numpy
  • Matplotlib

Install Prerequisites:

pip install numpy pip install matplotlib

Run the Script:

Code language: CSS (css)

Source Code:

import numpy as np import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D from matplotlib import cm print('The 3 equations are entered individually, each value of the equation is entered separated by a space, for example: \ninput = 6 5 -3 4 \nThis will be equal to 6x + 5y- 3z = 4') print('Enter values for equation 1: ') a, b, c, d = map(float, input().split()) print('Enter values for equation 2: ') e, f, g, h = map(float, input().split()) print('Enter values for equation 3: ') i, j, k, l = map(float, input().split()) #solve the linear equation A = np.array([[a,b,c],[e,f,g],[i,j,k]]) b_a = np.array([d,h,l]) sol = np.linalg.solve(A,b_a) print(sol) x,y = np.linspace(0,10,10), np.linspace(0,10,10) X,Y = np.meshgrid(x,y) Z1 = (d-a*X-b*Y)/c Z2 =(h-e*X-f*Y)/g Z3 =(l+X-Y)/k #create 3d graphics fig = plt.figure() ax = fig.add_subplot(111,projection='3d') ax.plot_surface(X,Y,Z1,alpha=0.5,cmap=cm.Accent,rstride=100,cstride=100) ax.plot_surface(X,Y,Z2,alpha=0.5,cmap=cm.Paired,rstride=100,cstride=100) ax.plot_surface(X,Y,Z3,alpha=0.5,cmap=cm.Pastel1,rstride=100,cstride=100) ax.plot((sol[0],),(sol[1],),(sol[2],),lw=2,c='k', marker='o', markersize=7, markeredgecolor='g', markerfacecolor='white') ax.set_xlabel('X axis') ax.set_ylabel('Y axis') ax.set_zlabel('Z axis')
Code language: PHP (php)


Linear Equation
3D Graph

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