1. Solve the following equations by Gauss-seidel Method. Start at all value X1=X2=X3=X4=Xs=1, 9X1- 3X2 + X3 - X4 + 2Xs = 8 2X1-12X2 + 2X3- 3X4 + 2X5 = 42 -2X1 + 2X2 + 12X3 + 2X4 – Xs= 45 2X1- 3X2 - 2X3 - 15X4 + 2X5 = -25 --X1 + 3X2 + 2X3- 4X4 – 13X5 = -47

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3BEXP
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*Calculated Values should not be rounded off
*use 5 decimal places

1. Solve the following equations by Gauss-seidel Method.
Start at all value X1=X2=X3=X4=Xs=1,
9X1- 3X2 + X3 - X4 + 2Xs = 8
%3D
2X1- 12X2 + 2X3-3X4 + 2X5 = 42
-2X1 + 2X2 + 12X3 + 2X4 - X5= 45
2X1 - 3X2 — 2хз- 15Х4 + 2Xs %3D-25
-X1 + 3X2 + 2X3 - 4X4 – 13X5 = -47
2. Solve the following equation by bisection and false
position method using the initial range (0, 1).
F(x) = 2 cos(x) – 2sin(x) + 2e 2x
Transcribed Image Text:1. Solve the following equations by Gauss-seidel Method. Start at all value X1=X2=X3=X4=Xs=1, 9X1- 3X2 + X3 - X4 + 2Xs = 8 %3D 2X1- 12X2 + 2X3-3X4 + 2X5 = 42 -2X1 + 2X2 + 12X3 + 2X4 - X5= 45 2X1 - 3X2 — 2хз- 15Х4 + 2Xs %3D-25 -X1 + 3X2 + 2X3 - 4X4 – 13X5 = -47 2. Solve the following equation by bisection and false position method using the initial range (0, 1). F(x) = 2 cos(x) – 2sin(x) + 2e 2x
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