Answered: 2. — 4х, + 2х, 3-6 Зх, — 5х, 3x, 1 | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 32E

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Question

Please answer number 2

8:39 O V A •
Bllll 68%i
In Exercises 1– 4, apply the Jacobi method to the given system of
linear equations, using the initial approximation (x, X2, . . . , X„) =
(0, 0, . . . , 0). Continue performing iterations until two successive
approximations are identical when rounded to three significant digits.
1. Зх, — х, %3D 2
2. - 4x, + 2x, = -6
x, + 4x, = 5
Зх, — 5х, —
1
3. 2х, — х,
4. 4x, + x, + x3 =
7
=
x1 - 3x, + xz = -2
-x, + x, - 3x = -6
x - 7x, + 2x; = -2
3x,
+ 4x3 = 11
5. Apply the Gauss-Seidel method to Exercise 1.
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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