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Homework: Q)*Solve the following set of equations using: a) Direct method (Gauss elimination method) b) Indirect method (Jacobi s method ; Gauss-Seidel method) 1) x1 + 3x2 + 8x3 = 4 X1+4x2 + 3x3 = -2 X1 + 3x2 + 4x3 = 1 [Ans. x1 = 4.75; x2 -3.25; x3 0.75] 2) 10x1 + x2 + x3 = 12 X1+10x2 + x3 = 12 X1 + x2 + 10xz = 12 [Ans. x1 = 1.0000; x2 = 1.0000; x3 = 1.0000] 20

Homework: Q)*Solve the following set of equations using: a) Direct method (Gauss elimination method) b) Indirect method (Jacobi s method ; Gauss-Seidel method) 1) x1 + 3x2 + 8x3 = 4 X1+4x2 + 3x3 = -2 X1 + 3x2 + 4x3 = 1 [Ans. x1 = 4.75; x2 -3.25; x3 0.75] 2) 10x1 + x2 + x3 = 12 X1+10x2 + x3 = 12 X1 + x2 + 10xz = 12 [Ans. x1 = 1.0000; x2 = 1.0000; x3 = 1.0000] 20

Advanced Engineering Mathematics
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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Homework: Q)*Solve the following set of equations using: a) Direct method (Gauss elimination method) b) Indirect method (Jacobi s method ; Gauss-Seidel method) 1) x1 + 3x2 + 8x3 = 4 X1+4x2 + 3x3 = -2 X1 + 3x2 + 4x3 = 1 [Ans. x1 = 4.75; x2 = -3. 25; x3 = 0.75] 2) 10x1 + x2 + x3 = 12 X1+10x2 + x3 = 12 X1 + x2 + 10x3 [Ans. x1 = 1.0000; x2 = 1.0000; x3 = 1.0000] = 12 20
Transcribed Image Text:Homework: Q)*Solve the following set of equations using: a) Direct method (Gauss elimination method) b) Indirect method (Jacobi s method ; Gauss-Seidel method) 1) x1 + 3x2 + 8x3 = 4 X1+4x2 + 3x3 = -2 X1 + 3x2 + 4x3 = 1 [Ans. x1 = 4.75; x2 = -3. 25; x3 = 0.75] 2) 10x1 + x2 + x3 = 12 X1+10x2 + x3 = 12 X1 + x2 + 10x3 [Ans. x1 = 1.0000; x2 = 1.0000; x3 = 1.0000] = 12 20
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