QUESTION 2Solve the following systems of equations, using the A\b construct, as well as the Gauss-Seidelmethod with a tolerance of 10 - 7 (in some cases convergence may not occur).(a) 0.1x1 +0.05x2 +0.1x3 = 1.312x1 + 25x2 3x3 = 10-7x1 + 8x2 + 15x3 = 2(b) 12x1 + 3x2 + 4x3 2x4 = 122x110x2x3 20x415x1x2 + 20x3+4x4 = -7x1 + x2 + 20x3 3x4 = -5

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the following problems by using the Simplex Method and verify the solution graphically. * 8.43 Minimize f=9x₁ + 2x2 + 3x3 subject to 2x₁ + x₂-3x3-5 X1-2x2 + 2x3 = -2 X1, X2, X3 ≥ 0 8.46 Minimize f= x₁-x₂ subject to 4x₁ + 3x₂ ≤ 12 x₁ + 2x₂ ≤ 4 4 ≥ 2x₁ + x₂ X1, X₂ ≥ 0 8.47 Maximize z = 2x1 + 3x₂ subject to x₁ + x₂ ≤ 16 -X₁-2x₂-28 24 ≥ 2x₁ + x2 X1, X2 ≥ 0
(0) (0) Q3: Iteration 2 by Gauss-Seidel iteration method, where x = x2 -2x1 + 7x2+2x3 = 5 6x1-2x2 + x3 = 11 x1 + 2x2-5x3 = -1 A) X₂=2.0691 x₂=1.0121 x 1.0107 B) X₂=2.0691 C) X₂=3.0691 x₂= 1.1021 x₂=1.0157 D) X₂=2.7691 E) X₂=2.0611 x₂= 2.0021 x₂=1.4147 F) X₁=2.0691 = (0) x) = 0 are x₂= 1.0122 x 1.0147 x₂= 1.0221 x₁=1.2147 x₂= 1.0021 x₂=1.0147
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Solve the following systems of equations, using the A\b construct, as well as the Gauss-Seidel method with a tolerance of 10 - 7 (in some cases convergence may not occur). (a) 0.1x1 +0.05x2 +0.1x3 = 1.3 12x1 + 25x2 3x3 = 10 -7x1 + 8x2 + 15x3 = 2