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

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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QUESTION 2
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
(b) 12x1 + 3x2 + 4x3 2x4 = 12
2x110x2x3 20x415
x1x2 + 20x3+4x4 = -7
x1 + x2 + 20x3 3x4 = -5
Transcribed Image Text:QUESTION 2 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 (b) 12x1 + 3x2 + 4x3 2x4 = 12 2x110x2x3 20x415 x1x2 + 20x3+4x4 = -7 x1 + x2 + 20x3 3x4 = -5
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