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 = ?
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
Problem 1OE
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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 = ?
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