(02)Use the Jacobi iteration method and find first five approximations to the solutions of the following systems. Use X(0) = (0, 0, 0)t. - a. 10x₁ + x₂x3 = 12 2x₁ + 15x₂ + 3x3 = 14 3x₁ + 5x2 + 25x3 = -17 b. 10x₁ + 3x₂ + x3 = 14 2x₁10x₂ + 3x3 = -5 X₁ + 3x₂ + 10x3 = 14
(02)Use the Jacobi iteration method and find first five approximations to the solutions of the following systems. Use X(0) = (0, 0, 0)t. - a. 10x₁ + x₂x3 = 12 2x₁ + 15x₂ + 3x3 = 14 3x₁ + 5x2 + 25x3 = -17 b. 10x₁ + 3x₂ + x3 = 14 2x₁10x₂ + 3x3 = -5 X₁ + 3x₂ + 10x3 = 14
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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Transcribed Image Text:(01)Find the eigen values and associated eigen vectors of the following matrices.
1
2. (27)
a.
b. (1)
(02)Use the Jacobi iteration method and find first five approximations to the solutions of the
following systems. Use X) = (0, 0, 0)¹.
a. 10x₁ + x₂x3 = 12
2x₁ + 15x₂ + 3x3 = 14
3x₁ + 5x₂ + 25x3 = -17
b. 10x₁ + 3x₂ + x3 = 14
2x₁10x₂ + 3x3 = -5
x₁ + 3x₂ + 10x3 = 14
(03)Use the Gauss-Seidel iteration method and find first five approximations to the solutions of
the following systems. Use X(0) = (0, 0, 0)t.
a. 10x₁ + x₂x3 = 12
2x₁ + 15x₂ + 3x3 = 14
3x₁ + 5x₂ + 25x3 = -17
b. 10x₁ + 3x₂ + x3 = 14
2x₁10x₂ + 3x3 = -5
X₁ + 3x₂ +10x3 = 14
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