Solved: Find the first two iterations of the SOR method with = 1.1 for the following

Chapter 7, Problem 7.3.10

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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. 4x1 + x2 x3 = 5, x1 + 3x2 + x3 = 4, 2x1 + 2x2 + 5x3 = 1. b. 2x1+ x2 + 1 2 x3 = 4, x12x2 1 2 x3 = 4, x2 + 2x3 = 0. c. 4x1 + x2 x3 + x4 = 2, x1 + 4x2 x3 x4 = 1, x1 x2 + 5x3 + x4 = 0, x1 x2 + x3 + 3x4 = 1. d. 4x1 x2 = 0, x1 + 4x2 x3 = 5, x2 + 4x3 = 0, + 4x4 x5 = 6, x4 + 4x5 x6 = 2, x5 + 4x6 = 6.

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