In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the initial approximation (x,, x2, . ..,Xx„) = (0, 0, . . . , 0). Continue performing iterations until two successive approximations are identical when rounded to three significant digits. %3D 1. Зх, 2. – 4x, + 2x, = -6 Зх, — 5х, — 5x, = X2 = 2 x + 4x, = 5 1 3. 2х, X2 = 2 4. 4x, + x, + x3 = %3D x - 3x, + x = -2 х, — 7х, + 2х, -2 - + 4x3 -x, + x2 - 3x3 = -6 5. Apply the Gauss-Seidel method to Exercise 1. 3x1 11 %3D = 6. Apply the Gauss-Seidel method to Exercise 2. 7. Apply the Gauss-Seidel method to Exercise 3. 8. Apply the Gauss-Seidel method to Exercise 4.

In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the initial approximation (x,, x2, . ..,Xx„) = (0, 0, . . . , 0). Continue performing iterations until two successive approximations are identical when rounded to three significant digits. %3D 1. Зх, 2. – 4x, + 2x, = -6 Зх, — 5х, — 5x, = X2 = 2 x + 4x, = 5 1 3. 2х, X2 = 2 4. 4x, + x, + x3 = %3D x - 3x, + x = -2 х, — 7х, + 2х, -2 - + 4x3 -x, + x2 - 3x3 = -6 5. Apply the Gauss-Seidel method to Exercise 1. 3x1 11 %3D = 6. Apply the Gauss-Seidel method to Exercise 2. 7. Apply the Gauss-Seidel method to Exercise 3. 8. Apply the Gauss-Seidel method to Exercise 4.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

PLEASE ANSWER NUMBER 2MATH 221 : PLEASE GIVE DETAILED SOLUTIONS AND CORRECT ANSWERS. I WILL REPORT TO BARTLEBY THOSE TUTORS WHO WILL GIVE INCORRECT ANSWERS.

In Exercises 1- 4, apply the Jacobi method to the given system of
linear equations, using the initial approximation (x,, x2, . ..,Xx„) =
(0, 0, . . . , 0). Continue performing iterations until two successive
approximations are identical when rounded to three significant digits.
%3D
1. Зх,
2. – 4x, + 2x, = -6
Зх, — 5х, —
5x, =
X2 = 2
x + 4x, = 5
1
3. 2х,
X2
= 2
4. 4x, + x, + x3 =
%3D
x - 3x, + x = -2
х, — 7х, + 2х,
-2
-
+ 4x3
-x, + x2 - 3x3 = -6
5. Apply the Gauss-Seidel method to Exercise 1.
3x1
11
%3D
=
6. Apply the Gauss-Seidel method to Exercise 2.
7. Apply the Gauss-Seidel method to Exercise 3.
8. Apply the Gauss-Seidel method to Exercise 4.

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