To ensure that the following system of equation, X1 + 4X2 + 2X3 = 15 5X, + 2X2 + X3 = 12 X1 + 2X2 + 5X3 = 20 is converge using Gauss-Seidel method, one can rewrite as: 1 4 2 15 5 2 1 12 c. 1 4 2 = 15 1 2 5 a. 5 2 1= 12 1 2 5 20 20 5 2 1 15 b. 1 4 2 = 12 d. none of them. 1 2 5 20

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Choose the Correct Answer:
To ensure that the following system of equation,
X1 + 4X2 + 2X3 = 15
5X, + 2X, + Xз %3D 12
X, + 2X2 + 5Xз 3D 20
is converge using Gauss-Seidel method, one can rewrite as:
%3D
1 4 2
15
5 2 1 12
a. 5 2 1 =
12
с. 1
4 2 = 15
1
2 5
20
1 2 5
20
5 2 1
b. 1 4 2 = 12
15
d. none of them.
1 2 5
20
The first positive root of equation (x² | sin x|= 4.1) occurs in the interval ...
a. [0,1]
b. [1,2]
с. [3,4]
d. none of them.
When equation (8x³ – 2x – 1 = 0) is solved by simple iterative method, it's found that the 1 positive
root is occurs in the interval -------.
а. [0,1]
b. [1,2]
с. [2,3]
d. none of them,
Given the following table and by using quadratic interpolation, y (3.4) will be:
с. 1.232
d. none of them
a. 1.223
b. 1.322
3
3.5
4
y
1.098 1.252
1.386
The solution to the set of equations below, most nearly is (X, Y, Z) =
10 X + Y +2 Z= 44
2 X+ 10 Y + Z= 51
X+2 Y + 10 Z= 61
а. (5, 3, 4)
b. (4, 5, 3)
с. (3,4, 5)
d. none of them.
Transcribed Image Text:Choose the Correct Answer: To ensure that the following system of equation, X1 + 4X2 + 2X3 = 15 5X, + 2X, + Xз %3D 12 X, + 2X2 + 5Xз 3D 20 is converge using Gauss-Seidel method, one can rewrite as: %3D 1 4 2 15 5 2 1 12 a. 5 2 1 = 12 с. 1 4 2 = 15 1 2 5 20 1 2 5 20 5 2 1 b. 1 4 2 = 12 15 d. none of them. 1 2 5 20 The first positive root of equation (x² | sin x|= 4.1) occurs in the interval ... a. [0,1] b. [1,2] с. [3,4] d. none of them. When equation (8x³ – 2x – 1 = 0) is solved by simple iterative method, it's found that the 1 positive root is occurs in the interval -------. а. [0,1] b. [1,2] с. [2,3] d. none of them, Given the following table and by using quadratic interpolation, y (3.4) will be: с. 1.232 d. none of them a. 1.223 b. 1.322 3 3.5 4 y 1.098 1.252 1.386 The solution to the set of equations below, most nearly is (X, Y, Z) = 10 X + Y +2 Z= 44 2 X+ 10 Y + Z= 51 X+2 Y + 10 Z= 61 а. (5, 3, 4) b. (4, 5, 3) с. (3,4, 5) d. none of them.
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