10. x₁ + 4x₂ = 1 3x1 - 2x2 = 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer number 10
Transcribed Image Text:In Exercises 9-12, show that the Gauss-Seidel method diverges for
the given system using the initial approximation (x₁, x₂,..., x₁) =
(0, 0, . . . , 0).
9.
-
-
2x₂ = − 1
X₁
10. x₁ + 4x₂ = 1
2x₁ + x₂ =
3
3x₁2x₂ = 2
11. 2x₁ - 3x₂
-7
12. x₁ + 3x₂
X1
x3 = 5
-
X2
x₁ + 3x₂
10x3
9
3x₁ -
= 5
x₂ + 2x3 = 1
3x1
+
=
=
X3 =
13
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