Problem 1A. Solve the system of linear equations using Gaussian Elimination. -71[X1 11 ||X2 X3 X4. -10 3 14 8. -3 -4 9. -6 3 1 6- -2 10 15 [6-1

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 1A. Solve the system of linear equations using Gaussian Elimination.
-71 [X1
11||X2
X3
15] [X4
-10
3
14
8.
-3
-4
9.
-6
3
1
-9
-2
10
6-1
Problem 1B. Solve the system of linear equations using Gauss-Jordan Elimination.
-2
-4
7
Xx1
8.
-9
10
-6
12
X2
-12||X3
-8 -11] Lx4]
-4
9.
9.
-5
8.
-12
3.
Problem 1C. Solve the system of linear equations using Crout's LU Decomposition.
[11
-11
6.
6.
-10
-2
-1
7
8
-11
X2
|
8.
4
4
-1
X3
6.
4
-1
-5
X4.
15
Transcribed Image Text:Problem 1A. Solve the system of linear equations using Gaussian Elimination. -71 [X1 11||X2 X3 15] [X4 -10 3 14 8. -3 -4 9. -6 3 1 -9 -2 10 6-1 Problem 1B. Solve the system of linear equations using Gauss-Jordan Elimination. -2 -4 7 Xx1 8. -9 10 -6 12 X2 -12||X3 -8 -11] Lx4] -4 9. 9. -5 8. -12 3. Problem 1C. Solve the system of linear equations using Crout's LU Decomposition. [11 -11 6. 6. -10 -2 -1 7 8 -11 X2 | 8. 4 4 -1 X3 6. 4 -1 -5 X4. 15
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