Question

Q3) Apply Guass-Seidal Method to solve the equation
2x-3y+202 = 25
20x+y-2z= 17
3x+20y-z =-18​

Answer 1

● We start from an approximation x = y = z = 0.

Substituting these in the right sides of the equations (i), (ii), (iii), we

get

● First iteration:

x = 0.85, y = -0.9, z = 1.25

● Putting these values again in equations (i), (ii), (iii), we obtain,

● X = [17 – (-0.9) + 2(1.25)] / 20 = 1.02

● Y = [-18 -3(0.85) + 1.25] / 20 = -0.965

● Z = [25 – 2(0.85) + 3(-0.9)] /20 = 1.03