(Solution) - Find the first two iterations of the SOR method with -(2025 Original AI-Free Solution)

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Find the first two iterations of the SOR method with ? = 1.1 for the following linear systems, using x(0) = 0:
a. 3x1 ? x2 + x3 = 1,
3x1 + 6x2 + 2x3 = 0,
3x1 + 3x2 + 7x3 = 4.
b. 10x1 ? x2 = 9,
?x1 + 10x2 ? 2x3 = 7,
? 2x2 + 10x3 = 6.
c. 10x1 + 5x2 = 6,
5x1 + 10x2 ? 4x3 = 25,
? 4x2 + 8x3 ? x4 = ?11,
? x3 + 5x4 = ?11.
d. 4x1 + x2 + x3 + x5 = 6,
?x1 ? 3x2 + x3 + x4 = 6,
2x1 + x2 + 5x3 ? x4 ? x5 = 6,
?x1 ? x2 ? x3 + 4x4 = 6,
2x2 ? x3 + x4 + 4x5 = 6