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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
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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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