x1 + 3x2 - x3 + 8x4 = 15 10x1 - x2 + 2x3 + x4 = 6 -x1 + 11x2 - x3 + 3x4 = 25 2x1 - x2 + 10x3 - x4 = -11 Assume that x10 = 0, x20 = 0, x30 = 0, x40 = 0.  Round off to 4 decimals in each iteration. Using Gauss Jacobi, what are the approximate values of x1, x2, x3, x4 that are within the tolerance value of 0.0050? x1 = ? x2 = ? x3 = ? x4 = ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 40E
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ADVANCED MATH (You may use excel for solving. Rate will be given.)

x1 + 3x2 - x3 + 8x4 = 15

10x- x2 + 2x3 + x4 = 6

-x1 + 11x2 - x3 + 3x4 = 25

2x1 - x2 + 10x3 - x4 = -11

Assume that x10 = 0, x20 = 0, x30 = 0, x40 = 0. 

Round off to 4 decimals in each iteration.

Using Gauss Jacobi, what are the approximate values of x1, x2, x3, x4 that are within the tolerance value of 0.0050?

x1 = ?

x2 = ?

x3 = ?

x4 = ?

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