= -12 Зх — у + 3z -2х + 2у — 5z %3D9 Зх — 5у + 7z %3-20

Solve the following system of non-linear equations using (a) Fixed-point iterative method, (b) Gauss-Seidel iterative method and (c) Newton's method. In each case, start with a guess value of 1, – 1,1. Use a tolerance of 0.00001. 8x,x, + x +3x,x; = 6 х -9хх, + х, х, —16 бх, + 3х,х, - x +21= 0 Show all calculations for the first three iterations for each method using a calculator and

10x1 + 2x2 + 3x3 = 23 2x1- 10x2 +3x3 = -9 -X1-X2+5x3 = 12 What is the x2 for the third iteration when the equation is calculated using the Jacobi %3D %3D iteration method? The starting point O A) 2.092 B) -2.837 C) 1.345 O D) 3.1783 E) 3.083

Solve the nonlinear equations shown below using Newton-Raphson method with three decimal points for single iteration. Assume the initial values of x as 5, xa as 5 and X) as 0. x,+ x2- 45 = 0 X + x - 15 = 0 XI+ Xạ+ X-5 =0