Use the Gauss-Seidel method to obtain the solution of the system and calculate the %Errors of consecutive five iterations and explain if your solution is reaching to its true solution. 3x1 - 0.1x2 - 0.2x3 = 7.85 0.1x1 + 7x2 - 0.3x3 = -19.3 0.3x1 - 0.2x2 + 10x3 = 71.4 %3D

Q: Solve the set of linear equations given below using the Gauss-Seidel method. The initial value is…

A: For convenience we take x1 = x,  x2 = y,  x3 = z and  x4 = w.

Q: 9w + 8x +9y + 2z = 42 5w + 2x + 7y + 37 = 45 Gw + 4x + 3y +62 = 53 8w + 2x + 5y + 62 = 63

A: To solve the system of linear equations using the Gauss-Seidel method with 10 iterations and initial…

Q: 9w + 8x + 9y + 2z = 42 5w + 2x + 7y + 37 = 45 Gw + 4x + ³y +62 = 53 Sw + 2x + 5y + 62 = 63

A: To solve the system of linear equations using the Gauss-Seidel method with 10 iterations and initial…

Q: Draw the block diagram of Gauss-Seidel Method with E< 0.0001 to solve 3x, - 0. 1x2 - 0.2x3 7.85 %3D…

A: x1 = (7.85 + 0.1 x2 +0.2 x3)3 x2 =(-19.3 + 0.3 x3 -0.1 x1)7 x3 =(71.4 - 0.3 x1 +0.2 x2)10

Q: 4x₁ + x₂-x3 = -2 SX₁ + x2 + 2x3 = 4 6x₁ + x₂ + x3 = 6

A: Given:To find:Solution using the Jacobi methodConcept Used:In the Jacobi method, we must solve the…

Q: Solve the system of linear equations as shown using 1. Gauss elimination method, X1 - 3x2 + X3 =…

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Q: Solve using Jacobi method, consider 10 iterations for each system of linear eaquations. Please show…

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Q: Use the Gauss-Seidel method to solve the system. Use x0 = [0.75, 2.5, 3.1458]. Find only %3D the…

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Q: 2x₁6x₂x3 = -38 Given the linear system -3x₁-x₂+7x₂=-34 -8x₁+x₂-2x3 = -20 , determine the values of…

A: Given 2x1- 6x2 -x3 = -38-3x1-x2+7x3 = -34-8x1 +x2 -2x3 =-20 We take x1=a,  x2=b,  x3=c for our…

Q: Up to 10 iterations. Please show how each iteration was solved.

A: Given the system of equationsx2 + y2=4ex + y=1To apply the fixed-point iteration method, we need to…

Q: Solve the following system of three equations using Jacobi Method. Assume initial value of unknowns…

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