Use Gaussian elimination and three-digit chopping arithmetic to solve the following
Chapter 6, Problem 6.2.10(choose chapter or problem)
Use Gaussian elimination and three-digit chopping arithmetic to solve the following linear systems, and compare the approximations to the actual solution. a. 58.9x1 + 0.03x2 = 59.2, 6.10x1 + 5.31x2 = 47.0. Actual solution [1, 10]. b. 3.3330x1 + 15920x2 + 10.333x3 = 7953, 2.2220x1 + 16.710x2 + 9.6120x3 = 0.965, 1.5611x1 + 5.1792x2 1.6855x3 = 2.714. Actual solution [1, 0.5, 1]. c. 2.12x1 2.12x2 + 51.3x3 + 100x4 = , 0.333x1 0.333x2 12.2x3 + 19.7x4 = 2, 6.19x1 + 8.20x2 1.00x3 2.01x4 = 0, 5.73x1 + 6.12x2 + x3 x4 = 1. Actual solution [0.0998, 0.0683, 0.0363, 0.0465]. d. x1 + 2x2 x3 + x4 = 0, ex1 x2 + x3 + 2x4 = 1, x1 + x2 3x3 + x4 = 2, x1 x2 + x3 5x4 = 3. Actual solution [1.35, 4.68, 4.03, 1.66].
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