Find the first two iterations of the Gauss-Seidel method for the following linear systems, using x(0) = 0: 4x1 + x2 - x3 + X4 = -2, x1 + 4x2 - x3 - X4 = -1, -xI - x2 + 5x3 + x4 = 0, X1 - x2 + X3 + 3x4 = 1.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the first two iterations of the Gauss-Seidel method for the following linear systems,
using x(0) = 0:
4x1 + x2 - x3+ x4 = -2,
Xi + 4x2 - x3 - X4 = -1,
-xI - x2 + 5x3 + X4 = 0,
X1 - x2 + x3 + 3x4 = 1.
Transcribed Image Text:Find the first two iterations of the Gauss-Seidel method for the following linear systems, using x(0) = 0: 4x1 + x2 - x3+ x4 = -2, Xi + 4x2 - x3 - X4 = -1, -xI - x2 + 5x3 + X4 = 0, X1 - x2 + x3 + 3x4 = 1.
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